{"product_id":"9780387878089","title":"Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations","description":"\u003cp\u003eA large number of physical phenomena are modeled by nonlinear partial\u003c\/p\u003e\u003cp\u003edifferential equations, subject to appropriate initial\/ boundary conditions; these\u003c\/p\u003e\u003cp\u003eequations, in general, do not admit exact solution. The present monograph gives\u003c\/p\u003e\u003cp\u003econstructive mathematical techniques which bring out large time behavior of\u003c\/p\u003e\u003cp\u003esolutions of these model equations. These approaches, in conjunction with modern\u003c\/p\u003e\u003cp\u003ecomputational methods, help solve physical problems in a satisfactory manner. The\u003c\/p\u003e\u003cp\u003easymptotic methods dealt with here include self-similarity, balancing argument,\u003c\/p\u003e\u003cp\u003eand matched asymptotic expansions. The physical models discussed in some detail\u003c\/p\u003e\u003cp\u003ehere relate to porous media equation, heat equation with absorption, generalized\u003c\/p\u003e\u003cp\u003eFisher's equation, Burgers equation and its generalizations. A chapter each is\u003c\/p\u003e\u003cp\u003edevoted to nonlinear diffusion and fluid mechanics. The present book will be found\u003c\/p\u003e\u003cp\u003euseful by applied mathematicians, physicists, engineers and biologists, and would\u003c\/p\u003e\u003cp\u003econsiderably help understand diverse natural phenomena.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":47011138306288,"sku":"9780387878089","price":169.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780387878089_p0.jpg?v=1763695783","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780387878089","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}