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Nonlinear Partial Differential Equations

  • Luis A. Caffarelli
  • François Golse
  • Yan Guo
  • Carlos E. Kenig
  • Alexis Vasseur

Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Luis A. Caffarelli, Alexis Vasseur
    Pages 1-38
  3. François Golse
    Pages 39-99

About this book

Introduction

The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrödinger and wave equations. Several powerful methods from recent top research articles are described in a careful and expository manner.

Keywords

Boltzmann equations hyperbolic equations statistical mechanics

Authors and affiliations

  • Luis A. Caffarelli
    • 1
  • François Golse
    • 2
  • Yan Guo
    • 3
  • Carlos E. Kenig
    • 4
  • Alexis Vasseur
    • 5
  1. 1.College of Natural Sciences, Dept. MathematicsUniversity of TexasAustinUSA
  2. 2., Centre de Mathématiques L. SchwartzEcole PolytechniquePalaiseau CedexFrance
  3. 3., Division of Applied MathematicsBrown UniversityProvidenceUSA
  4. 4.Dept. MathematicsUniversity of ChicagoChicagoUSA
  5. 5., Department of MathematicsUniversity of Texas at AustinAustinUSA

Bibliographic information