Curriculum Vitae of MICHAEL RENARDY
 Born: April 9, 1955
 German, U.S. Resident Alien
 Married to Mama Bear, three
children: Sister
Bear, Brother
Bear, Baby
Bear
Hobbies
I am an amateur composer. Links to my compositions can be found
here.
Education
 SchelztorGymnasium,
Esslingen, Class of 1973
 Dipl. Math.,
Universität Stuttgart, Nov. 1977
 Dipl. Phys., Universität Stuttgart, Dec. 1978
 Dr. rer. nat., Universität Stuttgart, Feb. 1980
 Supported by
Studienstiftung des deutschen Volkes 19731978
 Click here for details of my academic
ancestry (some of it goes back to the 11th century). A list of comments on
the table can be found here.
Professional Employment
 Research Associate, Inst.
f. theor. Phys., Universität Stuttgart,
Apr. 1978Aug. 1980
 Twoyear fellowship by
Deutsche Forschungsgemeinschaft:
 Math. Research Center, Univ. of
Wisconsin, Sep. 1980Aug. 1981;
 Dept. of Aerospace Eng., Univ. of
Minnesota,
Sep. 1981Aug. 1982
 Van Vleck Assistant Professor, Dept.
of Math. and Math. Research
Center, Univ. of Wisconsin, Aug. 1982July 1983
 Assistant Professor, Dept. of Math. and Math. Research Center,
Univ. of Wisconsin, Aug. 1983Aug. 1985
 Associate Professor, Dept. of Math. and Math. Research Center,
Univ. of Wisconsin, Aug. 1985July 1986
 Associate Professor, Dept. of Mathematics,
Virginia Polytechnic Institute and State University, Sep. 1986Aug. 1989
 Full Professor, Dept. of Mathematics, Virginia Polytechnic
Institute and State University, since Aug. 1989
 Class of 1950 Professor, Dept. of Mathematics, Virginia Polytechnic
Institute and State University, since Oct. 2000
 Visiting Fellow, Centre for
Mathematical Analysis, Australian
National University, June 1984 and JulyAug. 1988
 Visiting Professor, Inst. for
Mathematics and its Appl., Univ. of
Minnesota, Jan.June 1989 and Sep.Dec. 2009
 Visiting Professor, Mathematisches Institut A,
Universität Stuttgart, MayAug. 1991
 Visiting Professor, Isaac Newton
Institute for Mathematical
Sciences, University of Cambridge, Jan.June 1996
 Visiting Professor, Centre for Applicable Mathematics,
Tata Institute
of Fundamental Research, Bangalore, India, JanuaryFebruary 2017 and
summers of 2013, 2014, 2015
 Visiting Professor, Department of
Mathematics, University of British Columbia, Vancouver, Canada,
AprilJune 2017
Fields of Interest
 Nonlinear partial differential equations, nonNewtonian fluids,
free surface flows, stability and bifurcation
Membership in Professional Societies

Society for Industrial and Applied Mathematics (1981)

Society of Rheology (1982)
 American Mathematical Society (1983)
 Society for Natural
Philosophy (1984)

International Society for the Interaction of Mechanics and
Mathematics (1985), Executive Committee Member 20002003

American Physical Society, Division of Fluid Dynamics (1997)
Prizes and Awards
 Bundessieger, Bundeswettbewerb
Mathematik des Stifterverbandes
für die deutsche Wissenschaft (1973)
 Presidential
Young Investigator Award (1985)
 Virginia Tech Alumni Award for Research Excellence (1993)
 Fellow of the American Mathematical Society (2012)
I am or have been an editor of the following journals and book
series:
 CoEditor, Z. angew. Math. Phys., 19881990
 Editor,
Z. angew. Math. Phys., since 1991
 CoEditor, SIAM
J. Math. Anal., 19931999
 CoEditor,
Math. Meth. Appl. Sci., since 1994
 CoEditor, Adv.
Diff. Eq., 19952002
 Editor, AMS
Mathematical Surveys and Monographs, 19961999
 CoEditor,
Comm. Appl. Anal., 19972009
 CoEditor, Internat. J. Diff. Eq. Appl., 19992009
 CoEditor,
SIAM Electronic Problems and Solutions, 19992015
 CoEditor, Internat.
J. Pure Appl. Math., 20012009
 CoEditor, Z. angew. Math.
Mech., since 2005
 CoEditor, International
Journal of Qualitative Theory of
Differential Equations and Applications, 20062012
 CoEditor, International Journal of
Applied Mathematics and Computation, since 2008
 CoEditor,
Evolution
Equations and Control Theory, since 2011
Graduate Students
 Alfred
Kenric Mulzet, PhD
1997
 Thomas Hagen, PhD 1998
 Tirivanhu
Chinyoka, coadvised with Y.
Renardy, PhD 2004
 Evgeny
Savelev, PhD 2009
 Toufik
Laadj, PhD 2011
 Ahmed Kaffel, PhD 2011
 Xiaojun Wang,
PhD 2012
 Taige Wang, PhD 2016
Postdoctoral advisee
 Debanjana Mitra,
20162017
Publications
A. Books
 (with W.J.
Hrusa
and J.A.
Nohel), Mathematical Problems in
Viscoelasticity, Pitman Monographs and Surveys in Pure and Applied
Mathematics 35, Longman 1987, 273 pp.
 (with R.C. Rogers), An
Introduction to Partial
Differential Equations, Texts in Applied Mathematics 13, Springer 1993,
2004,
434 pp.
 Mathematical Analysis of Viscoelastic Flows, CBMSNSF Conference
Series in Applied Mathematics 73, SIAM 2000, 104 pp.
B. Books Edited
 (with A.S.
Lodge
and J.A.
Nohel), Viscoelasticity and
Rheology, Academic Press 1985
C. Invited Reviews
 1. (with W.J.
Hrusa
and J.A.
Nohel), Initial value problems in
viscoelasticity, Appl. Mech. Rev. 41 (1988), pp. 371378
 2. Mathematical analysis of viscoelastic flows, Ann. Rev.
Fluid Mech. 21 (1989), pp. 2136
 3. (with Y. Renardy), Stability and instability in viscous
fluids,
in: S. Friedlander and D. Serre (eds.), Handbook of Mathematical
Fluid Dynamics 2, Elsevier 2003, pp. 223287
 4. Topics in mathematical analysis of viscoelastic
flow, in: D.Y. Gao and R.W. Ogden (eds.), Advances in
Mechanics and Mathematics, Vol. 2, Kluwer 2003, pp. 109143
 5. Selfsimilar breakup of nonNewtonian liquid jets,
Rheol. Rev. 2004, pp. 171196
 6. Mathematical analysis of viscoelastic fluids,
in: C. Dafermos and M. Pokorny (eds.), Handbook of Differential Equations:
Evolutionary Equations 4, Elsevier 2008, pp. 229265
 7. (with Y. Renardy), Thixotropy in yield
stress fluids as a limit of
viscoelasticity, IMA J. Appl. Math. 81 (2016), pp. 116
D. Papers in Scientific Journals
 1. HopfBifurkation bei Lasern, Math. Meth. Appl. Sci. 1
(1979), pp. 194213
 2. On bounded solutions of a classical YangMills equation, Comm.
Math. Phys. 76 (1980), pp. 277287
 3. Bifurcation from rotating waves, Arch. Rat. Mech. Anal.
79 (1982), pp. 4984
 4. A quasilinear parabolic equation describing the elongation of
thin filaments of polymeric liquids, SIAM J. Math. Anal. 13 (1982),
pp. 226238
 5. Bifurcation of singular solutions in reversible systems and
application to reactiondiffusion equations, Adv. Appl. Math. 3
(1982), pp. 384406
 6. Some remarks on the propagation and nonpropagation of
discontinuities in linearly viscoelastic liquids, Rheol. Acta
21 (1982), pp. 251254
 7. (with H.
Haken), Bifurcation of solutions of the laser equations,
Physica D 8 (1983), pp. 5789
 8. (with P.
Markowich), A nonlinear Volterra integrodifferential
equation describing the stretching of polymeric liquids, SIAM J. Math.
Anal. 14 (1983), pp. 6697
 9. (with P.
Markowich), The
numerical solution of a class of
quasilinear parabolic Volterra equations arising in polymer rheology,
SIAM J. Num. Anal. 20 (1983), pp. 890908
 10. A class of quasilinear parabolic equations with infinite delay
and application to a problem of viscoelasticity, J. Diff. Eq.
48 (1983), pp. 280292
 11. Local existence theorems for the first and second initialboundary
value problems for a weakly nonNewtonian fluid, Arch. Rat. Mech. Anal.
83 (1983), pp. 229244
 12. Singularly perturbed hyperbolic evolution problems with infinite
delay and an application to polymer rheology, SIAM J. Math. Anal.
15 (1984), pp. 333349
 13. (with P.
Markowich),
LaxWendroff methods for hyperbolic history
value problems, SIAM J. Num. Anal. 21 (1984), pp. 2451
(Corrigendum: SIAM J. Num. Anal. 22 (1985), p. 204)
 14. On the domain space for constitutive laws in linear viscoelasticity,
Arch. Rat. Mech. Anal. 85 (1984), pp. 2126
 15. (with D.D.
Joseph and Y. Renardy),
Instability of the flow of
two immiscible liquids with different viscosities in a pipe, J. Fluid
Mech. 141 (1984), pp. 309317
 16. (with M. Ahrens, D.D.
Joseph
and Y.
Renardy), Remarks on the
stability of viscometric flow, Rheol. Acta 23 (1984), pp. 345354
 17. A local existence and uniqueness theorem for a KBKZ fluid,
Arch. Rat. Mech. Anal. 88 (1985), pp. 8394
 18. (with P.
Markowich), A
finite difference study of the stretching
and breakup of filaments of polymer solutions, J. NonNewtonian Fluid
Mech. 17 (1985), pp. 1322
 19. (with D.D.
Joseph
and
J.C. Saut), Hyperbolicity and change of type
in the flow of viscoelastic fluids, Arch. Rat. Mech. Anal. 87
(1985), pp. 213251 (reprinted in: B.D. Coleman, M. Feinberg and J. Serrin
(eds.), Analysis and Thermomechanics, Springer 1987, pp. 2563)
 20. (with W.J. Hrusa
),
On wave propagation in linear viscoelasticity,
Quart. Appl. Math. 43 (1985), pp. 237254
 21. Existence of slow steady flows of viscoelastic fluids with
differential constitutive equations, Z. angew. Math. Mech. 65
(1985), pp. 449451
 22. (with D.D.
Joseph,
Y. Renardy and K.
Nguyen), Stability of rigid
motions and rollers in bicomponent flows of immiscible liquids, J.
Fluid Mech. 153 (1985), pp. 151165
 23. (with Y. Renardy), Perturbation analysis
of steady and oscillatory
onset in a Bénard problem with
two similar liquids, Phys. Fluids 28 (1985), pp. 26992708
 24. Appendix: A remark on the nonexistence of multiple states or
Sshaped curves in kinetic dumbbell theories, in: X.J. Fan and
R.B.
Bird,
Configurationdependent friction coefficients and elastic dumbbell rheology,
J. NonNewtonian Fluid Mech. 18 (1985), pp. 255272
 25. (with D.D.
Joseph),
Hopf bifurcation in twocomponent flow,
SIAM J. Math. Anal. 17 (1986), pp. 894910
 26. (with W.J. Hrusa
),
On a class of quasilinear partial
integrodifferential equations with singular kernels, J. Diff. Eq.
64 (1986), pp. 195220
 27. Dense imbedding of test functions in certain function spaces,
Trans. Amer. Math. Soc. 298 (1986), pp. 241243
 28. (with K.R.
Rajagopal, Y. Renardy and A.S.
Wineman), Flow of
viscoelastic fluids between plates rotating about distinct axes, Rheol.
Acta 25 (1986), pp. 259267
 29. Some remarks on the NavierStokes equations with a pressure
dependent viscosity, Comm. Part. Diff. Eq. 11 (1986), pp. 779793
 30. (with Y. Renardy), Linear stability of
plane Couette flow of an
upper convected Maxwell fluid, J. NonNewtonian Fluid Mech. 22
(1986), pp. 2333
 31. A model equation in combustion theory exhibiting an infinite
number of secondary bifurcations, Physica D 28 (1987), pp.
155167
 32. Inflow boundary conditions for steady flows of viscoelastic
fluids with differential constitutive laws, Rocky Mt. J. Math.
18 (1988), pp. 445453 (Corrigendum: Rocky Mt. J. Math.
19 (1989), p. 561)
 33. (with W.J. Hrusa
),
An existence theorem for the Dirichlet
problem in the elastodynamics of incompressible materials,
Arch. Rat. Mech. Anal. 102 (1988), pp. 95117 (Corrigendum:
Arch. Rat. Mech. Anal. 110 (1990), pp. 373375)
 34.Existence of slow steady flows of viscoelastic fluids of integral
type, Z. angew. Math. Mech. 68 (1988), pp. T40T44
 35. Recent advances in the mathematical theory of steady flow
of viscoelastic fluids, J. NonNewtonian Fluid Mech. 29 (1988),
pp. 1124
 36. (with W.J. Hrusa
),
A model equation for viscoelasticity with a
strongly singular kernel, SIAM J. Math. Anal. 19
(1988), pp. 257269
 37. Coercive estimates and existence of solutions for a model of
onedimensional viscoelasticity with a nonintegrable memory function,
J. Integral Eq. Appl. 1 (1988), pp. 716
 38. (with Y. Renardy), Bifurcating solutions
at the onset of
convection in the Bénard problem for two fluids,
Physica D 32 (1988), pp. 227252
 39. (with A.
AlDroubi), Energy methods for a parabolichyperbolic
interface problem arising in electromagnetism, Z. angew. Math. Phys.
39 (1988), pp. 931936
 40. On RankineHugoniot conditions for Maxwell liquids, J.
NonNewtonian Fluid Mech. 32 (1989), pp. 6977
 41. (with Y. Renardy), Stability of shear
flows of viscoelastic
fluids under perturbations perpendicular to the plane of flow, J.
NonNewtonian Fluid Mech. 32 (1989), pp. 145155
 42. Existence of steady flows of viscoelastic fluids of Jeffreys
type with traction boundary conditions, Diff. Integral Eq. 2
(1989), pp. 431437
 43. (with D.D.
Joseph),
Stokes' first problem for linear viscoelastic
fluids with finite memory, Rheol. Acta 28 (1989), pp. 453456
 44. Local existence of solutions of the Dirichlet initialboundary
value problem for incompressible hypoelastic materials, SIAM J.
Math. Anal. 21 (1990), pp. 13691385
 45. Corner singularities between free surfaces and open boundaries,
Z. angew. Math. Phys. 41 (1990), pp. 419425
 46. Short wave instabilities resulting from memory slip, J.
NonNewtonian Fluid Mech. 35 (1990), pp. 7376
 47. An alternative approach to inflow boundary conditions for Maxwell
fluids in three space dimensions, J. NonNewtonian Fluid Mech.
36 (1990), pp. 419425
 48. Compatibility conditions at corners
between walls and inflow boundaries for
fluids of Maxwell type, Z. angew. Math. Mech. 71 (1991), pp.
3745
 49. (with Y. Renardy), On the nature of
boundary conditions for flows
with moving free surfaces, J. Comp. Phys. 93 (1991), pp.
325335
 50. An existence theorem for model equations resulting from kinetic
theories of polymer solutions, SIAM J. Math. Anal. 22 (1991),
pp. 313327
 51. (with D.D.
Joseph,
J. Nelson and Y.
Renardy),
Twodimensional cusped interfaces, J. Fluid Mech. 223 (1991),
pp. 383409
 52. Illposedness at the boundary for elastic solids sliding under
Coulomb friction, J. Elasticity 27 (1992), pp. 281287
 53. (with Y. Renardy), Pattern selection in
the Bénard problem for
a viscoelastic fluid, Z. angew. Math. Phys. 43 (1992), pp.
154180
 54. An existence theorem for a free surface flow problem with open
boundaries, Comm. Part. Diff. Eq. 17 (1992), pp. 13871405
 55. A rigorous stability proof for plane Couette flow of an upper
convected Maxwell fluid at zero Reynolds number, Euro. J. Mech. B
11 (1992), pp. 511516
 56. A centre manifold theorem for hyperbolic PDEs, Proc. Roy. Soc.
Edinburgh 122A (1992), pp. 363377
 57. (with D.G.
Baird), Report on the VIIth International Workshop on
Numerical Methods in NonNewtonian Flow, J. NonNewtonian Fluid Mech.
43 (1992), pp. 383385
 58. A possible explanation of "bamboo waves" in coreannular flow of
two liquids, Theor. Comp. Fluid Dyn. 4 (1992), pp. 9599
 59. (with R.C. Rogers), Shock
conditions for hypoelastic materials,
Theor. Comp. Fluid Dyn. 5 (1993), pp. 162170
 60. On the stability of parallel shear flow of an Oldroyd B fluid,
Diff. Integral Eq. 6 (1993), pp. 481489
 61. On the type of certain C0semigroups, Comm. Part. Diff. Eq.
18 (1993), pp. 12991307
 62. The stresses of an upper convected Maxwell fluid in a Newtonian
velocity field near a reentrant corner, J. NonNewtonian Fluid Mech.
50 (1993), pp. 127134
 63. (with Y. Renardy), Derivation of amplitude
equations and analysis of
sideband instabilities in twolayer flows, Phys. Fluids A 5 (1993),
pp. 27382762 (Corrigendum: Phys. Fluids A 6 (1994), p. 3502)
 64. (with H.
Amann), Reactiondiffusion problems in electrolysis,
Nonlinear Diff. Eq. Appl. 1 (1994), pp. 91117
 65. Some comments on the surfacetension driven breakup (or the lack of
it) of viscoelastic jets, J. NonNewtonian Fluid Mech. 51 (1994),
pp. 97107
 66. On an eigenvalue problem arising in the study of the stability of
ocean currents, Z. angew. Math. Phys. 45 (1994), pp. 497501
 67. How to integrate the upper convected Maxwell
(UCM) stresses near a singularity (and maybe
elsewhere, too), J. NonNewtonian Fluid Mech. 52 (1994), pp. 9195
 68. On the linear stability of hyperbolic PDEs and viscoelastic flows,
Z. angew. Math. Phys. 45 (1994), pp. 854865
 69. Instability of uniform flow, Int. J. Num. Meth. Fluids
19 (1994), pp. 687692
 70. Existence of steady flows for Maxwell fluids with traction
boundary conditions on open boundaries, Z. angew. Math. Mech. 75
(1995), pp. 153155
 71. (with Z.
Liu),
A note on the equations of a thermoelastic plate, Appl.
Math. Lett. 8 (1995), No. 3, pp. 16
 72. A matched solution for corner flow of the upper convected Maxwell
fluid, J. NonNewtonian Fluid Mech. 58 (1995), pp. 8389
 73. On the mechanism of drag reduction, J. NonNewtonian Fluid
Mech. 59 (1995), pp. 93101
 74. A numerical study of the asymptotic evolution and breakup of
Newtonian and viscoelastic jets, J. NonNewtonian Fluid Mech. 59
(1995), pp. 267282
 75. Polar decomposition of positive operators and a problem of Crandall
and Lions, Applic. Anal. 57 (1995), pp. 383385
 76. On the stability of differentiability of semigroups, Semigroup
Forum 51 (1995), pp. 343346
 77. Instability proof for some transonic problems with resonant
mode crossings, Theor.
Comp. Fluid Dyn. 7 (1995), pp. 457461
 78. Nonlinear stability of flows of Jeffreys fluids at low Weissenberg
numbers, Arch. Rat. Mech. Anal. 132 (1995), pp. 3748
 79. Hopf bifurcation on the hexagonal lattice with small frequency,
Adv. Diff. Eq. 1 (1996), pp. 283299
 80. Singular value decomposition in Minkowski space, Lin. Alg.
Appl. 236 (1996), pp. 5358
 81. (with Y. Renardy, R.
Sureshkumar
and A.N.
Beris), HopfHopf and
steadyHopf mode interactions in TaylorCouette flow of an upper convected
Maxwell liquid, J. NonNewtonian Fluid Mech. 63 (1996), pp.
131
 82. Initial value problems with inflow boundaries for Maxwell
fluids,
SIAM J. Math. Anal. 27 (1996), pp. 914931
 83. On an equation describing the spreading of surfactants on thin
films, Nonlin. Anal. TMA 26 (1996), pp. 12071219
 84. A singularly perturbed problem related to surfactant spreading
on thin films, Nonlin. Anal. TMA 27 (1996), pp. 287296
 85. Spectrally determined growth is generic, Proc. Amer. Math.
Soc. 124 (1996), pp. 24512453
 86. A degenerate parabolichyperbolic system modeling the spreading
of surfactants, SIAM J. Math. Anal. 28 (1997), pp. 10481063
 87. Imposing "no" boundary condition at outflow: Why does it work?
Int. J. Num. Meth. Fluids 24 (1997), pp. 413417
 88. Qualitative correlation between viscometric and linear
viscoelastic functions, J. NonNewtonian Fluid Mech. 68 (1997), pp. 133135
 89. High Weissenberg number boundary layers for the upper convected
Maxwell fluid, J. NonNewtonian Fluid Mech. 68 (1997), pp. 125132
 90. Reentrant corner behavior of the PTT fluid, J.
NonNewtonian Fluid Mech. 69 (1997), pp. 99104
 91. The high Weissenberg number limit of the UCM model and the
Euler equations, J. NonNewtonian Fluid Mech. 69 (1997), pp.
293301
 92. (with J. Perkins), Stability of equatorial currents with nonzero
potential vorticity, Geophys. Astrophys. Fluid Dyn. 85 (1997),
pp. 3164
 93. (with A.V.
Coward, Y. Renardy
and J.R. Richards), Temporal evolution of periodic disturbances in
twolayer Couette flow, J. Comp. Phys. 132 (1997), pp. 346361
 94. (with
T. Hagen),
Boundary layer analysis of the PhanThien Tanner
and Giesekus model in high Weissenberg number flow, J. NonNewtonian
Fluid Mech. 73 (1997), pp. 181189
 95. Equilibrium configurations of an inflated cylindrical membrane,
J. Elasticity 46 (1997), pp. 255261
 96. (with Y. Renardy), Influence of
nonBoussinesq effects on patterns
in salt finger convection, Z. angew. Math. Phys. 49 (1998), pp. 224250
 97. (with O.
Hassager
and M.I. Kolte), Failure and nonfailure of fluid
filaments in extension, J. NonNewtonian Fluid Mech. 76 (1998), pp. 137151
 98. (with Y. Renardy), A model equation for
axisymmetric stability of
smallgap parallelplate flows, J. NonNewtonian Fluid Mech. 77 (1998), pp.
103114
 99. Wellposedness of the shallow water equations in the presence of
a front, Diff. Integral Eq. 11 (1998), pp. 95105
 100. (with J. Li and
Y.
Renardy), A numerical
study of periodic disturbances
in twolayer Couette flow, Phys. Fluids 10 (1998), pp. 30563071
 101. (with A.K.
Mulzet), Exponential stability for a diffusion equation
in polymer kinetic theory, Comm. Appl. Anal. 3 (1999), pp. 305325
 102. (with H.J.
Wilson and Y. Renardy),
Structure of the spectrum in zero
Reynolds number shear flow of the UCM and OldroydB liquids, J. NonNewtonian
Fluid Mech. 80 (1999), pp. 251268
 103. (with Y. Renardy), Instability due to
second normal stress
jump in twolayer shear flow of the Giesekus fluid, J. NonNewtonian
Fluid Mech. 81 (1999), pp. 215234
 104. A note on bifurcation problems in large containers, Fluid Dyn. Res.
24 (1999), pp. 189199
 105. Bifurcation of traveling waves resulting from resonant mode
crossings in oceanic currents, Euro. J. Mech. B 18 (1999), pp. 3546
 106. (with D.L. Russell), Formability of linear
elastic structures with
volumetype actuation, Arch. Rat. Mech. Anal. 149 (1999), pp. 97122
 107. (with Y. Renardy and
K.
Fujimura),
TakensBogdanov bifurcation
on the hexagonal lattice for doublelayer convection, Physica D 129 (1999),
pp. 171202
 108. A boundary value problem for Laplace's equation, Complex Variables
41 (2000), pp. 145150
 109. Boundary layers for Maxwell liquids, Arch. Rat. Mech. Anal. 152 (2000),
pp. 93102
 110. (with
T. Hagen),
Nonadiabatic elongational flow of viscoelastic
melts, Z. angew. Math. Phys. 51 (2000), pp. 845866
 111. Asymptotic structure of the stress field in flow past a cylinder
at high Weissenberg number, J. NonNewtonian Fluid Mech. 90 (2000), pp. 2333
 112. Current issues in nonNewtonian flows: a mathematical
perspective,
J. NonNewtonian Fluid Mech. 90 (2000), pp. 243259
 113. (with J. Li and
Y.
Renardy), Numerical
simulation of
breakup of a viscous drop in simple shear flow with a volumeoffluid method,
Phys. Fluids 12 (2000), pp. 269282
 114. Location of the continuous spectrum in complex flows of the UCM
fluid, J. NonNewtonian Fluid Mech. 94 (2000), pp. 7585
 115. (with
T. Hagen), Eigenvalue
asymptotics in nonisothermal elongational
flow, J. Math. Anal. Appl. 252 (2000), pp. 431443
 116. (with
T. Hagen), Studies on
the linear equations of meltspinning
of viscous fluids, Diff. Integral Eq. 14 (2001), pp. 1936
 117. Shape control by collinear actuators, Arch. Rat. Mech. Anal. 156 (2001),
pp. 231240
 118. Selfsimilar breakup of a Giesekus jet, J. NonNewtonian Fluid
Mech. 97 (2001), pp. 283293
 119. (with I.
Lasiecka and R.
Triggiani), Backward uniqueness for
thermoelastic plates with rotational forces, Semigroup Forum 62 (2001),
pp. 217242
 120. Finite time breakup of viscous filaments, Z. angew. Math. Phys.
52 (2001), pp. 881887 (Corrigendum: 58 (2007), pp. 904905)
 121. (with Y. Renardy and J. Li
), Numerical simulation of moving contact line problems using a
volumeoffluid method, J. Comp. Phys. 171 (2001), pp. 243263
 122. (with Y. Renardy and V.
Cristini), A
volumeoffluid
formulation for surfactants and simulations of drop deformation under shear at a low
viscosity ratio, Euro. J. Mech. B 21 (2002), pp. 4959
 123. Selfsimilar jet breakup for a generalized PTT model,
J. NonNewtonian Fluid Mech. 103 (2002), pp. 261269
 124. Higher order Neumann problems for Laplace's equation in two
dimensions, Diff. Integral Eq. 15 (2002), pp. 12731279
 125. Similarity solutions for jet breakup for various models of
viscoelastic fluids,
J. NonNewtonian Fluid Mech. 104 (2002), pp. 6574
 126. The effect of upstream boundary conditions on stability of fiber spinning in the highly elastic
limit, J. Rheol. 46 (2002), pp. 10231028
 127. (with D. Losh), Similarity solutions for jet
breakup in a Giesekus fluid with inertia, J. NonNewtonian
Fluid Mech. 106 (2002), pp. 1727
 128. (with Y. Renardy), PROST: A Parabolic
Reconstruction Of Surface
Tension for the volumeoffluid method, J. Comp. Phys. 183 (2002), pp. 400421
 129. Spectrally determined growth for creeping flow of the upper
convected
Maxwell fluid, Semigroup Forum 66 (2003), pp. 171178
 130. (with Y. Renardy, S.
Popinet, L. Duchemin, S. Zaleski, C.
Josserand, M.A.
DrumrightClarke, D. Richard, C. Clanet
and D.
Quéré), Pyramidal and toroidal water drops after impact on a
solid surface, J. Fluid Mech. 484 (2003), pp. 6983
 131. Stress integration for the constitutive law of the upper
convected Maxwell fluid near the corners in a driven cavity,
J. NonNewtonian Fluid Mech. 112 (2003), pp. 7784
 132. Parallel shear flows of fluids
with a pressure dependent viscosity, J. NonNewtonian Fluid Mech. 114 (2003),
pp. 229236
 133. On damping in twolayer elasticviscoelastic media, Z. angew.
Math. Mech. 84 (2004), pp. 205210
 134. On localized KelvinVoigt damping, Z. angew. Math. Mech. 84 (2004), pp. 280283
 135. (with Y. Renardy), Similarity solutions
for breakup of jets of power law fluids,
J. NonNewtonian Fluid Mech. 122 (2004), pp. 303312
 136. A comment on selfsimilar breakup for inertialess Newtonian liquid
jets,
IMA J. Appl. Math. 70 (2005), pp. 353358
 137. (with P. Wapperom), Numerical prediction of the
boundary layers in the flow around a cylinder using a fixed velocity field,
J. NonNewtonian Fluid Mech. 125 (2005), pp. 3548
 138. Postbreakup asymptotics for a Giesekus jet, J. NonNewtonian
Fluid Mech. 126 (2005), pp. 15
 139. When is a given set of PDEs part of an elliptic system?, Diff.
Integral Eq. 18 (2005), pp. 233239
 140. Parallel shear flows of fluids with a temperature dependent
viscosity, Z. angew. Math. Phys. 56 (2005), pp. 681693
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 204. (with Y. Renardy), A singular
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