Partial Differential Equations
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
|Partial Differential Equations, Harmonic Analysis, Dynamical Systems
|Nonlinear PDEs from applied mathematics and mathematical physics, evolution equations, stability theory, scattering, solitons, topological solitons.
|Optimal transport, partial differential equations, and geometry.
|Coupling bulk-surface geometric PDEs with multi-physics for cell motility and pattern formation; Data-driven modelling in Experimental Sciences and Healthcare
|Differential geometry, nonlinear PDE in complex geometry, Calabi-Yau geometry
|Partial differential equations from mathematical physics, including fluid and dispersive PDEs
|Nonlinear Partial Differential Equations/Semilinear Elliptic Equations/Nonlinear,Applied and Geometric Analysis/Mathematical Biology/Singular Perturbation Problems/Phase Transition