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Nonlinear Partial Differential Equations [electronic resource] / by Luis A. Caffarelli, François Golse, Yan Guo, Carlos E. Kenig, Alexis Vasseur.

By: Caffarelli, Luis A [author.].
Contributor(s): Golse, François [author.] | Guo, Yan [author.] | Kenig, Carlos E [author.] | Vasseur, Alexis [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Advanced Courses in Mathematics - CRM Barcelona: Publisher: Basel : Springer Basel, 2012Description: VIII, 150p. 33 illus., 10 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783034801911.Subject(s): Mathematics | Differential equations, partial | Mathematics | Partial Differential Equations | Mathematical PhysicsDDC classification: 515.353 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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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.

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.

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