Caffarelli, L.A., Golse, F., Guo, Y., Kenig, C.E., Vasseur, A.
2012, VIII, 150 p. 33 illus., 10 illus. in color.
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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
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.