Get Advances in the Theory of Shock Waves (Progress in Nonlinear PDF

By Heinrich Freistühler,Anders Szepessy,T.-P. Liu,G. Metivier,J. Smoller,B. Temple,W.-A. Yong,K. Zumbrun

ISBN-10: 0817641874

ISBN-13: 9780817641870

ISBN-10: 1461266556

ISBN-13: 9781461266556

within the box referred to as "the mathematical thought of outrage waves," very intriguing and unforeseen advancements have happened within the previous couple of years. Joel Smoller and Blake Temple have confirmed periods of concern wave ideas to the Einstein­ Euler equations of basic relativity; certainly, the mathematical and actual con­ sequences of those examples represent a complete new zone of analysis. the steadiness thought of "viscous" surprise waves has got a brand new, geometric viewpoint a result of paintings of Kevin Zumbrun and collaborators, which bargains a spectral method of platforms. as a result of intersection of aspect and crucial spectrum, such an ap­ proach had for a very long time appeared out of succeed in. the soundness challenge for "in­ viscid" surprise waves has been given a unique, transparent and concise therapy by way of man Metivier and coworkers by utilizing paradifferential calculus. The L 1 semi­ workforce idea for platforms of conservation legislation, itself nonetheless a up to date improvement, has been significantly condensed via the advent of recent distance functionals via Tai-Ping Liu and collaborators; those functionals examine options to assorted information through direct connection with their wave constitution. the elemental prop­ erties of structures with rest have came across a scientific description throughout the papers of Wen-An Yong; for surprise waves, this implies a primary basic theorem at the lifestyles of corresponding profiles. The 5 articles of this ebook mirror the above developments.

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Advances in the Theory of Shock Waves (Progress in Nonlinear Differential Equations and Their Applications) by Heinrich Freistühler,Anders Szepessy,T.-P. Liu,G. Metivier,J. Smoller,B. Temple,W.-A. Yong,K. Zumbrun


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