Shock Waves and Reaction--Diffusion Equations - Couverture rigide

Smoller, Joel

Couverture rigide

ISBN 10 : 0387942599 ISBN 13 : 9780387942599

Editeur : Springer-Verlag New York Inc., 1994

Synopsis

For this edition, a number of typographical errors and minor slip-ups have been corrected. In addition, following the persistent encouragement of Olga Oleinik, I have added a new chapter, Chapter 25, which I titled "Recent Results." This chapter is divided into four sections, and in these I have discussed what I consider to be some of the important developments which have come about since the writing of the first edition. Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory. The main topics considered are L. Tartar's notion of compensated compactness, together with its application to pairs of conservation laws, and T.-P. Liu's work on the stability of viscous profiles for shock waves. In the next section, Conley's connection index and connection matrix are described; these general notions are useful in con- structing travelling waves for systems of nonlinear equations. The final sec- tion, Section IV, is devoted to the very recent results of C. Jones and R. Gardner, whereby they construct a general theory enabling them to locate the point spectrum of a wide class of linear operators which arise in stability problems for travelling waves. Their theory is general enough to be applica- ble to many interesting reaction-diffusion systems.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 0387942599
• ISBN 13: 9780387942599
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 657
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne