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Partial Differential Equations

Research Advisors for Partial Differential Equations

  • Bio Item
    John Burns profile picture
    John Burns , bio

    Professor Burns' current research is focused on computational methods for modeling, control, estimation and optimization of complex systems where spatially distributed information is essential. This includes systems modeled by partial and delay differential equations. Recent applications include modeling and control of thermal fluids, design and thermal management systems and optimization of mobile sensor networks.

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    Guher Camliyurt profile picture
    Guher Camliyurt , bio

    Dr. Camliyurt's research interests include mathematical fluid dynamics, nonlinear waves, and unique continuation problems for general elliptic and parabolic PDEs.

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    Honghu Liu profile picture
    Honghu Liu , bio

    Professor Liu's research focuses on the design of effective low-dimensional reduced models for nonlinear deterministic and stochastic PDEs as well as DDEs. Applications to classical and geophysical fluid dynamics are actively pursued. Particular problems that are addressed include bifurcation analysis, phase transition, surrogate systems for optimal control, and stochastic closures for turbulence.

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    Eyvindur Paisson profile picture
    Eyvindur Ari Palsson , bio

    Associate Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.

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    Sho-Ming Sun profile picture
    Shu-Ming Sun , bio

    Professor Sun's research interests include the mathematical theory of fluid mechanics, the theory of partial differential equations, and applied nonlinear analysis.

Researchers in Partial Differential Equations

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    Fanfchi Yan's profile picture
    Fangchi Yan , bio

    Dr. Yan studies partial differential equations (PDEs) that are motivated from the modeling of physical phenomena and real-world problems in general. His research focuses on the problem of well-posedness for nonlinear dispersive equations, including the Korteweg-de Vries (KdV) equation and the nonlinear Schrödinger (NLS) equation.

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    John Burleson profile picture
    John Taylor Burleson , bio

    Instructor Burleson is currently engaged with teaching with an interest in computational fluid dynamics.

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    Numann Malik profile picture
    Numann Malik , bio

    Dr. Malik's interests lie in nonlinear partial differential equations; specifically the asymptotic behavior, orbital stability, and effective dynamics, of dark solitons that arise from defocusing nonlinear Schrodinger equations.

Recently Retired Faculty