Nonlinear Partial Differential Equations

✍ Scribed by Luis A. Caffarelli, François Golse, Yan Guo, Carlos E. Kenig, Alexis Vasseur (auth.)

Publisher: Birkhäuser Basel
Year: 2012
Tongue: English
Leaves: 158
Series: Advanced Courses in Mathematics - CRM Barcelona
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-viii
The De Giorgi Method for Nonlocal Fluid Dynamics....Pages 1-38
Recent Results on the Periodic Lorentz Gas....Pages 39-99
The Boltzmann Equation in Bounded Domains....Pages 101-115
The Concentration-Compactness Rigidity Method for Critical Dispersive and Wave Equations....Pages 117-149

✦ Subjects

Partial Differential Equations; Mathematical Physics

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