Nonlinear Partial Differential Equations
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Beschreibung
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.
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.
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
Autor*in
Luis A. Caffarelli
Themen in »Nonlinear Partial Differential Equations«
Boltzmann equations hyperbolic equations statistical mechanics partial differential equations
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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)()