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 often called "the mathematical thought of outrage waves," very interesting and unforeseen advancements have happened within the previous couple of years. Joel Smoller and Blake Temple have verified sessions of outrage wave recommendations to the Einstein­ Euler equations of basic relativity; certainly, the mathematical and actual con­ sequences of those examples represent a complete new region of study. the soundness idea of "viscous" surprise waves has acquired a brand new, geometric point of view as a result of paintings of Kevin Zumbrun and collaborators, which deals a spectral method of structures. end result of the intersection of element and crucial spectrum, such an ap­ proach had for a very long time appeared out of achieve. the soundness challenge for "in­ viscid" surprise waves has been given a singular, transparent and concise therapy through man Metivier and coworkers by utilizing paradifferential calculus. The L 1 semi­ crew conception for structures of conservation legislation, itself nonetheless a up to date improvement, has been significantly condensed by means of the advent of recent distance functionals via Tai-Ping Liu and collaborators; those functionals examine ideas to diverse info by means of direct connection with their wave constitution. the basic prop­ erties of platforms with leisure have came upon a scientific description during 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 booklet 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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