Partial Differential Equations
Group overview
This team is focused on rigorous analysis of the fundamental nonlinear differential equations occurring in scientific and engineering problems, and has natural ties with the groups in differential geometry, mathematical physics, analysis, and applied mathematics.
INFO for prospective students
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People
| Faculty | Research Interests |
|---|---|
| Jingyi Chen | |
| James Colliander | Partial Differential Equations, Harmonic Analysis, Dynamical Systems |
| Nassif Ghoussoub | Variational Methods in PDEs, Functional Inequalities, Deterministic and stochastic Optimal mass transport |
| Stephen Gustafson | Nonlinear PDEs from applied mathematics and mathematical physics, evolution equations, stability theory, scattering, solitons, topological solitons. |
| Young-Heon Kim | Optimal transport, partial differential equations, and geometry. |
| Anotida Madzvamuse | Coupling bulk-surface geometric PDEs with multi-physics for cell motility and pattern formation; Data-driven modelling in Experimental Sciences and Healthcare |
| Sebastien Picard | Differential geometry, nonlinear PDE in complex geometry, Calabi-Yau geometry |
| Tai-Peng Tsai | Partial differential equations from mathematical physics, including fluid and dispersive PDEs |
| Jun-Cheng Wei | Nonlinear Partial Differential Equations/Semilinear Elliptic Equations/Nonlinear,Applied and Geometric Analysis/Mathematical Biology/Singular Perturbation Problems/Phase Transition |
| Graduate Students | Research Interests |
|---|---|
| Chen-Chih Lai | Nonlinear partial differential equations, Navier–Stokes equations, Green tensor of Stokes system, complex fluid dynamics, self-similar and discretely self-similar solutions, reaction-diffusion system |