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Shock waves and reaction-diffusion equations / Joel SMOLLER (1994)
Titre : Shock waves and reaction-diffusion equations Type de document : texte imprimé Auteurs : Joel SMOLLER, Auteur Mention d'édition : 2nd ed. Editeur : Berlin : Springer-Verlag Année de publication : 1994 Collection : Grundlehren der mathematischen wissenschaften, ISSN 0072-7830 num. 258 Importance : 632 p. ISBN/ISSN/EAN : 978-3-540-94259-7 Langues : Anglais Mots-clés : équation aux dérivées partielles mécanique des fluides mécanique des solides onde de choc Résumé : The purpose of this book is to make easily available the basics of the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized Morse theory as developed by Charles Conley. It presents the modern ideas in these fields in a way that is accessible to a wider audience than just mathematicians.
The book is divided into four main parts: linear theory, reaction-diffusion equations, shock-wave theory, and the Conley index. For the second edition numerous typographical errors and other mistakes have been corrected and a new chapter on recent results has been added. The new chapter contains discussions of the stability of traveling waves, symmetry-breaking bifurcations, compensated compactness, viscous profiles for shock waves, and general notions for construction traveling-wave solutions for systems of nonlinear equations.Note de contenu : index, bibliogr. Shock waves and reaction-diffusion equations [texte imprimé] / Joel SMOLLER, Auteur . - 2nd ed. . - Berlin : Springer-Verlag, 1994 . - 632 p.. - (Grundlehren der mathematischen wissenschaften, ISSN 0072-7830; 258) .
ISBN : 978-3-540-94259-7
Langues : Anglais
Mots-clés : équation aux dérivées partielles mécanique des fluides mécanique des solides onde de choc Résumé : The purpose of this book is to make easily available the basics of the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized Morse theory as developed by Charles Conley. It presents the modern ideas in these fields in a way that is accessible to a wider audience than just mathematicians.
The book is divided into four main parts: linear theory, reaction-diffusion equations, shock-wave theory, and the Conley index. For the second edition numerous typographical errors and other mistakes have been corrected and a new chapter on recent results has been added. The new chapter contains discussions of the stability of traveling waves, symmetry-breaking bifurcations, compensated compactness, viscous profiles for shock waves, and general notions for construction traveling-wave solutions for systems of nonlinear equations.Note de contenu : index, bibliogr. Exemplaires
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