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Nonlinear Diffusive Waves

Language EnglishEnglish
Book Paperback
Book Nonlinear Diffusive Waves P. L. Sachdev
Libristo code: 02021083
Publishers Cambridge University Press, January 2009
This monograph deals with Burgers' equation and its generalisations. Such equations describe a wide... Full description
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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.

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About the book

Full name Nonlinear Diffusive Waves
Author P. L. Sachdev
Language English
Binding Book - Paperback
Date of issue 2009
Number of pages 256
EAN 9780521093033
ISBN 0521093031
Libristo code 02021083
Weight 380
Dimensions 152 x 229 x 15
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