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Nonlinear Partial Differential Equations de Luis A. Caffarelli

Nonlinear Partial Differential Equations: Advanced Courses in Mathematics - CRM Barcelona

Autor Luis A. Caffarelli, François Golse, Yan Guo, Carlos E. Kenig, Alexis Vasseur Xavier Cabré, Juan Soler
en Limba Engleză Paperback – 2 dec 2011
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.
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Specificații

ISBN-13: 9783034801904
ISBN-10: 3034801904
Pagini: 158
Ilustrații: VIII, 150 p. 33 illus., 10 illus. in color.
Dimensiuni: 168 x 240 x 13 mm
Greutate: 0.27 kg
Ediția:2012
Editura: Springer
Colecția Birkhäuser
Seria Advanced Courses in Mathematics - CRM Barcelona

Locul publicării:Basel, Switzerland

Public țintă

Graduate

Cuprins

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.

Recenzii

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)

Textul de pe ultima copertă

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.

Caracteristici

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