Read e-book online 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 idea of concern waves," very fascinating and unforeseen advancements have happened within the previous couple of years. Joel Smoller and Blake Temple have demonstrated periods of concern wave options to the Einstein­ Euler equations of basic relativity; certainly, the mathematical and actual con­ sequences of those examples represent an entire new quarter of analysis. the steadiness conception of "viscous" surprise waves has obtained a brand new, geometric point of view because of the paintings of Kevin Zumbrun and collaborators, which bargains a spectral method of platforms. as a result of intersection of element and crucial spectrum, such an ap­ proach had for a very long time appeared out of achieve. the steadiness challenge for "in­ viscid" surprise waves has been given a unique, transparent and concise therapy via man Metivier and coworkers by using paradifferential calculus. The L 1 semi­ workforce idea for platforms of conservation legislation, itself nonetheless a up to date improvement, has been significantly condensed through the advent of recent distance functionals via Tai-Ping Liu and collaborators; those functionals examine recommendations to diverse information via direct connection with their wave constitution. the basic prop­ erties of structures with leisure have chanced on a scientific description throughout the papers of Wen-An Yong; for surprise waves, this implies a primary common theorem at the lifestyles of corresponding profiles. The 5 articles of this ebook replicate 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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