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P.L. Sachdev - Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Springer Monographs in Mathematics) - 9780387878089 - V9780387878089
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Springer Monographs in Mathematics)

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Description for Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Springer Monographs in Mathematics) Hardcover. The goals of this text are to prove or disprove the solution of reduced nonlinear ODE's by different analytic methods, and to show that these solutions are intermediate asymptotics of a class of initial/boundary conditions arising from physical considerations. Series: Applied Mathematical Sciences. Num Pages: 231 pages, biography. BIC Classification: PBKJ; PBW; PHD; TBJ. Category: (P) Professional & Vocational. Dimension: 243 x 167 x 21. Weight in Grams: 500.

A large number of physical phenomena are modeled by nonlinear partial

differential equations, subject to appropriate initial/ boundary conditions; these

equations, in general, do not admit exact solution. The present monograph gives

constructive mathematical techniques which bring out large time behavior of

solutions of these model equations. These approaches, in conjunction with modern

computational methods, help solve physical problems in a satisfactory manner. The

asymptotic methods dealt with here include self-similarity, balancing argument,

and matched asymptotic expansions. The physical models discussed in some detail

here relate to porous media equation, heat equation with absorption, generalized

Fisher's equation, Burgers equation and ... Read more

devoted to nonlinear diffusion and fluid mechanics. The present book will be found

useful by applied mathematicians, physicists, engineers and biologists, and would

considerably help understand diverse natural phenomena.

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Product Details

Publisher
Springer
Format
Hardback
Publication date
2009
Series
Applied Mathematical Sciences
Condition
New
Weight
500g
Number of Pages
231
Place of Publication
New York, NY, United States
ISBN
9780387878089
SKU
V9780387878089
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

Reviews for Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Springer Monographs in Mathematics)
From the reviews: “The book is mainly addressed to applied mathematicians, and it may be of interest to physicists, biologists and engineers too. It is very rich with examples and explicit calculations which may become starting points for further advances in the general theory of the large-time behavior of solutions to nonlinear PDEs. Moreover, numerical examples are given. … ... Read more

Goodreads reviews for Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Springer Monographs in Mathematics)


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