Research Areas

Ongoing research at CAM can be classified into following areas.

Qualitative and quantitative properties of solutions of differential equations

Elliptic and Parabolic PDE
Hyperbolic Equations and Conservation Laws
Euler and Navier-Stokes equations

Problems in calculus of variations
Optimal transportation problems
Inverse problems
Geometry and analysis
Control theory problems of fluid flows

Probability theory
Stochastic differential equations
Random Geometry, point processes
Ergodic Theory and dynamical systems
Rough path theory, stochastic analysis

Potential theory
Complex analysis
Several complex variables

Computational Science

Scientific computing and machine learning
Numerical Analysis of differential equations
Computational fluid dynamics
Geophysical fluid flows