Hyperbolic Systems of Balance Laws 2024 pdf epub mobi 电子书

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发表于2024-07-05

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出版者:Springer

作者:Alberto Bressan

出品人:

页数:366

译者:

出版时间:2007-07-01

价格:USD 74.95

装帧:Paperback

isbn号码:9783540721864

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Hyperbolic Systems of Balance Laws 2024 pdf epub mobi 电子书图书描述

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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