Nonlinear Partial Differential Equations

• Main Authors: Caffarelli, Luis A. (Author), Golse, François (Author), Guo, Yan (Author), Kenig, Carlos E. (Author), Vasseur, Alexis (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2012.
• Series: Advanced Courses in Mathematics - CRM Barcelona
• Subjects: Mathematics.; Partial differential equations.; Mathematical physics.; Partial Differential Equations.; Mathematical Physics.

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...

Table of Contents:

• Foreword. 1 The De Giorgi Method for Nonlocal Fluid Dynamics
• 2 Recent Results on the Periodic Lorentz Gas
• 3 The Boltzmann Equation in Bounded Domains
• 4 The Concentration-Compactness/Rigidity Method for Critical Dispersive and Wave Equations.