The main themes of the "Nonlinear Analysis" group are: optimization and calculus of variations, optimal transport theory, inverse problems, mean-field games, the study of various nonlinear partial differential equations, spectral theory, functional inequalities, dynamical systems, control theory, scientific computing and numerical analysis.
Applications mainly concern biology, ecology, social sciences, road traffic, fluid mechanics, celestial mechanics, quantum physics and chemistry, statistical physics and image analysis. The Inria team Mokaplan is part of the Nonlinear Analysis group.
The list below shows the main contributors to each research theme.
Calculus of variations, shape optimization
Theoritical and numerical Optimal transport
(with the INRIA MOKAPLAN team)
Control theory, fluid mechanics
Explosion phenomena in evolution PDE
Hamilton-Jacobi, homogenization, mean-field games
Kinetic theory, with applications to biology, epidemiology and social sciences
Mathematical physics, quantum mechanics
Dynamical systems, classical mechanics
Scientific computing, numerical analysis