Analytical and numerical aspects of partial differential equations

✍ Scribed by Etienne Emmrich, Petra Wittbold, Etienne Emmrich

Publisher: Walter de Gruyter
Year: 2009
Tongue: English
Leaves: 296
Series: De Gruyter Proceedings in Mathematics
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Frontmatter
......Page 1
Table of contents......Page 6
S. N. Kruzhkov’s lectures on first-order quasilinear PDEs......Page 7
Adaptive semi-Lagrangian schemes for Vlasov equations......Page 75
Coupling of a scalar conservation law with a parabolic problem......Page 121
Standing waves in nonlinear Schrödinger equations......Page 157
Multiscale methods coupling atomistic and continuum mechanics: some examples of mathematical analysis......Page 199
Maximal regularity and applications to PDEs......Page 253
Backmatter
......Page 295

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