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Titlebook: Hyperbolic Conservation Laws and Related Analysis with Applications; Edinburgh, September Gui-Qiang G. Chen,Helge Holden,Kenneth H. Karlsen

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書目名稱Hyperbolic Conservation Laws and Related Analysis with Applications
副標(biāo)題Edinburgh, September
編輯Gui-Qiang G. Chen,Helge Holden,Kenneth H. Karlsen
視頻videohttp://file.papertrans.cn/431/430584/430584.mp4
概述Offers a cross-section of the most significant recent advances and current directions in the field of nonlinear hyperbolic conservation laws and related analysis with applications.Features articles se
叢書名稱Springer Proceedings in Mathematics & Statistics
圖書封面Titlebook: Hyperbolic Conservation Laws and Related Analysis with Applications; Edinburgh, September Gui-Qiang G. Chen,Helge Holden,Kenneth H. Karlsen
描述.This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications. Topics covered include a survey on multidimensional systems of conservation laws as well as novel results ?on liquid crystals, conservation laws with discontinuous flux functions, and applications to sedimentation. ?Also included are articles on recent advances in the Euler equations and the Navier-Stokes-Fourier-Poisson system, in addition to new results on collective phenomena described by the Cucker-Smale model. ??.The Workshop on Hyperbolic Conservation Laws and Related Analysis with Applications at the International Centre for Mathematical Sciences (Edinburgh, UK) held in Edinburgh, September 2011, produced this fine collection of original research and survey articles. Many leading mathematicians attended the event and submitted their contributions for this volume. It is addressed to?researchers and graduate students interested in partial differential equations and related analysis with applications...?.
出版日期Conference proceedings 2014
關(guān)鍵詞35-06, 35L65, 35L40, 35Q35, 76J20, 35L67, 35R35, 76N10; hyperbolic conservation laws; mechanics; nonlin
版次1
doihttps://doi.org/10.1007/978-3-642-39007-4
isbn_softcover978-3-662-51098-8
isbn_ebook978-3-642-39007-4Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer-Verlag Berlin Heidelberg 2014
The information of publication is updating

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The Nash-Moser Iteration Technique with Application to Characteristic Free-Boundary Problems,odifications which allow the scheme to be applied to some characteristic free-boundary problems for hyperbolic conservation laws. We focus on the case of supersonic vortex sheets in 2D as considered by Coulombel and Secchi in Ann Sci éc Norm Supér (4) 41(1):85–139, 2008.
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The Semigroup Approach to Conservation Laws with Discontinuous Flux,ry problem ., where the existence of strong interface traces of entropy solutions is an easy fact. We give a direct proof of this, avoiding the subtle arguments of the kinetic formulation (Kwon YS, Vasseur A (2007) Arch Ration Mech Anal 185(3):495–513) and of the .-measure approach (Panov EY (2007) J Hyperbolic Differ Equ 4(4):729–770).
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Entropy, Elasticity, and the Isometric Embedding Problem: , ,rn, this elastostatic system possesses an elementary entropy equation in the sense of Lax. In addition, we use an entropy equality for the linearized system (linearized about a known embedding) to develop . . estimates for the dependent variables.
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