Edición de la obra Explosive Instabilities in Mechanics
| Autor | B. Straughan |
|---|---|
| Editorial | Springer Berlin Heidelberg |
| Fecha de publicación | 1998 |
| Lugar | Berlin, Heidelberg |
| Idioma | inglés |
| Páginas | 196 |
| Formato | [electronic resource] / |
| ISBN-13 | 9783642637407, 9783642588075 |
| ISBN-10 | 364263740X, 3642588077 |
| OCLC | 851794061 |
| Número de Cutter | S912e |
This book deals with blow-up, or at least very rapid growth, of a solution to a system of partial differential equations that arise in practical physics situations. It begins with a relatively simple account of blow-up in systems of interaction-diffusion equations. Then the book concentrates on mechanics applications. In particular it deals with the Euler equations, Navier--Stokes equations, models for glacier physics, Korteweg--de-Vries equations, and ferro-hydrodynamics. Blow-up is treated in Volterra equations, too, stressing how these equations arise in mechanics, e.g. in combustion theory. The novel topic of chemotaxis in mathematical biology is also presented. There is a chapter on change of type, from hyperbolic to elliptic, addressing three new and important applications: instability in soils, instability in sea ice dynamics, and also instability in pressure-dependent viscosity flow. Finally, the book includes an exposition of exciting work, very recent and on-going, dealing with rapid energy growth in parallel shear flows. The book addresses graduate students as well as researchers in mechanics and applied mathematics.