Partial differential equations and applications
Abstract
The PI proposes to continue his program to develop methods for the study of nonlinear deterministic and stochastic partial differential equations arising in natural and social sciences, engineering, etc. The emphasis is on nonlinear pde with rough time dependence (including stochastic fully nonlinear second-order and Hamilton-Jacobi equations, and conservation laws), random homogenization, adaptive dynamics and concentration phenomena in mathematical biology and equations on graphs/networks.In addition to the theoretical development the problems to be investigated arise as models in applications likecomposite materials, mean field games, turbulence, phase transitions and front propagation with random velocity, nucleations in physics, macroscopic limits of particle systems, pathwise stochastic control theory, stochastic optimization with partial observations, stochastic selection, turbulent combustion, phase transitions and front propagation in random media, cloaking, adaptive dynamics, data transmission and traffic management.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 04, 2017
- Source ID
- N000141712095
Entities
People
- Panagiotis E. Souganidis
Organizations
- Office of Naval Research
- United States Navy
- University of Chicago