Skip to main content
SpringerLink
Log in
Birkhäuser

Nonlinear Partial Differential Equations

  • Textbook
  • © 2012

Overview

Authors:
  1. Luis A. Caffarelli

    1. College of Natural Sciences, Dept. Mathematics, University of Texas, Austin, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. François Golse

    1. , Centre de Mathématiques L. Schwartz, Ecole Polytechnique, Palaiseau Cedex, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Yan Guo

    1. , Division of Applied Mathematics, Brown University, Providence, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. Carlos E. Kenig

    1. Dept. Mathematics, University of Chicago, Chicago, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  5. Alexis Vasseur

    1. , Department of Mathematics, University of Texas at Austin, Austin, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Describes in a careful and expository manner some powerful methods from recent top research articles in partial differential equations.
  • Contains recent new applications of several classical tools to macroscopic problems (continuous media) and microscopic problems (particle interactions).
  • Describes in an elegant way the basis and most recent advances about the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrödinger and wave equations
  • Includes supplementary material: sn.pub/extras

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 24.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 34.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (4 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. The De Giorgi Method for Nonlocal Fluid Dynamics

    • Luis A. Caffarelli, Alexis Vasseur
    Pages 1-38

  3. Recent Results on the Periodic Lorentz Gas

    • François Golse
    Pages 39-99

  4. The Boltzmann Equation in Bounded Domains

    • Yan Guo
    Pages 101-115

  5. The Concentration-Compactness Rigidity Method for Critical Dispersive and Wave Equations

    • Carlos E. Kenig
    Pages 117-149
Back to top

Keywords

About this book

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. The book describes in a careful and expository manner several powerful methods from recent top research articles.

Reviews

From the reviews:

“Its aim was to provide an overview of some of the most important current lines of research in the field of nonlinear PDE. … Both for novices and experts in the areas covered the contributions provide deep insights into the guiding principles and relevant methods of these active fields of current research.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 171 (1), July, 2013)

Authors and Affiliations

  • College of Natural Sciences, Dept. Mathematics, University of Texas, Austin, USA

    Luis A. Caffarelli

  • , Centre de Mathématiques L. Schwartz, Ecole Polytechnique, Palaiseau Cedex, France

    François Golse

  • , Division of Applied Mathematics, Brown University, Providence, USA

    Yan Guo

  • Dept. Mathematics, University of Chicago, Chicago, USA

    Carlos E. Kenig

  • , Department of Mathematics, University of Texas at Austin, Austin, USA

    Alexis Vasseur

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation