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Nonlinear Diffusive Waves
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Bibliographic Detail
Publisher Cambridge Univ Pr
Publication date January 8, 2009
Pages 254
Binding Paperback
Edition 1
Book category Adult Non-Fiction
ISBN-13 9780521093033
ISBN-10 0521093031
Original list price $54.99
Other format details university press
Summaries and Reviews
Amazon.com description: Product Description: 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.

Editions
Hardcover
Book cover for 9780521265935
 
from Cambridge Univ Pr (July 1, 1987)
9780521265935 | details & prices | List price $93.99
Paperback
Book cover for 9780521093033
 
The price comparison is for this edition
1 edition from Cambridge Univ Pr (January 8, 2009)
9780521093033 | details & prices | 254 pages | List price $54.99
About: This monograph deals with Burgers' equation and its generalisations.

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