Nonlinear analysis

NONLINEAR ANALYSIS

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 topics.

 

Calculus of variations, shape optimization

  • Antonin Chambolle
  • Jean Dolbeault
  • Ivar Ekeland
  • Maria J. Esteban
  • David Gontier
  • Mathieu Lewin
  • Pierre-Louis Lions
  • Paul Pegon
  • Idriss Mazari
  • Irène Waldspurger

Theoritical and numerical Optimal transport

(with the INRIA MOKAPLAN team)

  • Jean-David Benamou
  • Guillaume Carlier
  • Paul Pegon
  • Gabriel Turinici

Image processing

  • Laurent D. Cohen
  • Antonin Chambolle
  • Vincent Duval
  • Irène Waldspurger

Control theory, fluid mechanics

  • Olivier Glass
  • Boris Haspot
  • Pierre Lissy
  • Benjamin Melinand
  • Gabriel Turinici

Explosion phenomena in evolution PDE

  • Boris Haspot
  • Nejla Nouaili

Hamilton-Jacobi, homogenization, mean-field games

  • Pierre Cardaliaguet
  • Pierre-Louis Lions
  • Gabriel Turinici

Kinetic theory, with applications to biology, epidemiology and social sciences

  • Emeric Bouin
  • Jean Dolbeault
  • Amic Frouvelle
  • Stéphane Mischler
  • Gabriel Turinici

Mathematical physics, quantum mechanics

  • Isabelle Catto
  • Jean Dolbeault
  • Maria J. Esteban
  • David Gontier
  • Mathieu Lewin
  • Éric Séré
  • Gabriel Turinici

Dynamical systems, classical mechanics

  • Patrick Bernard
  • Abed Bounemoura
  • Jacques Féjoz
  • Anna Florio

Scientific computing, numerical analysis

  • Antonin Chambolle
  • Maxime Chupin
  • David Gontier
  • Guillaume Legendre
  • Éric Séré
  • Gabriel Turinici
  • Irène Waldspurger