Name: Nonlinear Diffusive Waves (en Inglés)
Price: 61.27 USD
Availability: InStock
Author: P. L. Sachdev
ISBN: 9780521093033

portada Nonlinear Diffusive Waves (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

P. L. Sachdev

Año

2009

Idioma

Inglés

N° páginas

256

Encuadernación

Tapa Blanda

ISBN

0521093031

ISBN13

9780521093033

N° edición

Categorías

Matemáticas aplicadas

Nonlinear Diffusive Waves (en Inglés)

P. L. Sachdev (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Nonlinear Diffusive Waves (en Inglés)"

This monograph deals with Burgers' equation and its generalisations. Such equations describe a wide variety of nonlinear diffusive phenomena, for instance, in nonlinear acoustics, laser physics, plasmas and atmospheric physics. The Burgers equation also has mathematical interest as a canonical nonlinear parabolic differential equation that can be exactly linearised. It is closely related to equations that display soliton behaviour and its study has helped elucidate other such nonlinear behaviour. The approach adopted here is applied mathematical. The author discusses fully the mathematical properties of standard nonlinear diffusion equations, and contrasts them with those of Burgers' equation. Of particular mathematical interest is the treatment of self-similar solutions as intermediate asymptotics for a large class of initial value problems whose solutions evolve into self-similar forms. This is achieved both analytically and numerically.