Advanced Courses in Mathematics - CRM Barcelona

Nonlinear Partial Differential Equations

Authors: Caffarelli, L.A., Golse, F., Guo, Y., Kenig, C.E., Vasseur, A.

  • 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
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eBook $24.99
price for USA (gross)
  • ISBN 978-3-0348-0191-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.95
price for USA
  • ISBN 978-3-0348-0190-4
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
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About this Textbook

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)

Table of contents (4 chapters)

  • The De Giorgi Method for Nonlocal Fluid Dynamics

    Caffarelli, Luis A. (et al.)

    Pages 1-38

  • Recent Results on the Periodic Lorentz Gas

    Golse, François

    Pages 39-99

  • The Boltzmann Equation in Bounded Domains

    Guo, Yan

    Pages 101-115

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

    Kenig, Carlos E.

    Pages 117-149

Buy this book

eBook $24.99
price for USA (gross)
  • ISBN 978-3-0348-0191-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.95
price for USA
  • ISBN 978-3-0348-0190-4
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Partial Differential Equations
Authors
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-0191-1
DOI
10.1007/978-3-0348-0191-1
Softcover ISBN
978-3-0348-0190-4
Series ISSN
2297-0304
Edition Number
1
Number of Pages
VIII, 150
Number of Illustrations and Tables
23 b/w illustrations, 10 illustrations in colour
Topics