Title Explosive Instabilities in Mechanics Author(s) Straughan, Brian Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 1998. Description IX, 197 p : online resource Abstract Note 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 ISBN,Price 9783642588075 Keyword(s) 1. CLASSICAL MECHANICS 2. EBOOK 3. EBOOK - SPRINGER 4. MECHANICS 5. Mechanics, Applied 6. Theoretical and Applied Mechanics Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I02802     On Shelf