Hyperbolic Systems of Balance Laws 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Alberto Bressan 作者

Springer

译者

2007-07-01 出版日期

366 页数

USD 74.95 价格

Paperback

丛书系列

9783540721864 图书编码

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Hyperbolic Systems of Balance Laws 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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The present Cime volume includes 4 lecture courses by Bressan, Serre, Zumbrun and Williams and a Tutorial by Bressan on the Center Manifold Theorem. Bressan’s notes start with an extensive review of hyperbolic conservation laws. Then he introduces the vanishing viscosity approach and explains clearly the building blocks of the theory in particular the crucial role of the decomposition by travelling waves. Serre focuses on existence and stability for discrete shock profiles, he reviews the existence both in the rational and in the irrational cases and gives a concise introduction to the use of spectral methods for stability analysis. Finally the lectures by Williams and Zumbrun deal with the stability of multidimensional fronts. Williams’ lectures describe the stability of multidimensional viscous shocks. Zumbrun discusses planar stability for viscous shocks with a realistic physical viscosity, and necessary and sufficient conditions for nonlinear stability.</P>

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