{"product_id":"explosive-instabilities-in-mechanics-softcover-reprint-of-the-original-1st-1998","title":"Explosive Instabilities in Mechanics","description":"\u003cp\u003e\"Explosive Instabilities in Mechanics\" by Brian Straughan is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.\u003c\/p\u003e\nThis 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.\u003cbr\u003eThen 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, dealingwith rapid energy growth in parallel shear flows. \u003cbr\u003eThe book addresses graduate students as well as researchers in mechanics and applied mathematics.","brand":"Springer","offers":[{"title":"Default Title","offer_id":46420362985671,"sku":"1-99-531-000397","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0736\/9575\/6487\/files\/9783642637407.jpg?v=1776334209","url":"https:\/\/snowflakeskies.com\/products\/explosive-instabilities-in-mechanics-softcover-reprint-of-the-original-1st-1998","provider":"Snowflake Skies","version":"1.0","type":"link"}