| 书目名称 | Hyperbolic Systems of Balance Laws |
| 副标题 | Lectures given at th |
| 编辑 | Alberto Bressan,Denis Serre,Kevin Zumbrun,Pierange |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .The present Cime volume includes four lectures by Bressan, Serre, Zumbrun and Williams and an appendix with a Tutorial on Center Manifold Theorem by Bressan. Bressan’s notes start with an extensive review of the theory 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’ lecture describes the stability of multidimensional viscous shocks: the small viscosity limit, linearization and conjugation, Evans functions, Lopatinski determinants etc. Zumbrun discusses planar stability for viscous shocks with a realistic physical viscosity, necessary and sufficient conditions for nonlinear stability, in analogy to the Lopatinski condition obtained by Majda for the inviscid case.. |
| 出版日期 | Book 2007 |
| 关键词 | Profil; discrete shock profiles; hyperbolic conservation laws; nonlinear hypebolic systems; stability of |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-72187-1 |
| isbn_softcover | 978-3-540-72186-4 |
| isbn_ebook | 978-3-540-72187-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2007 |
发表于 2025-3-21 16:33:11
