Area of research
Applied Mathematics · Statistical and Nonlinear Physics
Research interest
Research interests include Quantum chaos and dynamical systems, Advanced Mathematical Modeling in Engineering, Geometric Analysis and Curvature Flows, and Nonlinear Partial Differential Equations.
Policy Iteration for Nonconvex Viscous Hamilton–Jacobi Equations
Policy Iteration for the Deterministic Control Problems—A Viscosity Approach
Stochastic homogenization of a nonconvex Hamilton–Jacobi equation
Viscosity solutions of general viscous Hamilton–Jacobi equations
Stochastic homogenization of viscous Hamilton–Jacobi equations and applications
A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians
Conference: Red Raider Mini-Symposium on Geometric Analysis and Applications
Viscosity Solutions: Beyond the Wellposedness Theory
Conference: Red Raider Mini-Symposium on Differential Geometry, Integrable Systems, and Applications
Geometry of Surfaces and Four-Dimensional Manifolds
CAREER: Front Propagations and Viscosity Solutions
Viscosity Solutions: Beyond Well-Posedness Theory
Some new approaches for the study of properties of viscosity solutions
Some new approaches for the study of properties of viscosity solutions