Analytical and Numerical Aspects of Partial Differential Equations: Notes of a Lecture Series

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Etienne Emmrich, Petra Wittbold
Walter de Gruyter, Jul 14, 2009 - Mathematics - 300 pages
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This text contains a series of self-contained reviews on the state of the art in different areas of partial differential equations, presented by French mathematicians. Topics include qualitative properties of reaction-diffusion equations, multiscale methods coupling atomistic and continuum mechanics, adaptive semi-Lagrangian schemes for the Vlasov-Poisson equation, and coupling of scalar conservation laws.

 

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Contents

S N Kruzhkovs lectures on firstorder quasilinear PDEs
1
Adaptive semiLagrangian schemes for Vlasov equations
69
Coupling of a scalar conservation law with a parabolic problem
115
Standing waves in nonlinear Schrödinger equations
151
some examples of mathematical analysis
193
Maximal regularity and applications to PDEs
247
Backmatter
289
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Etienne Emmrich and Petra Wittbold , Technical University Berlin.

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