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Synopsis
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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Book 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.
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NONLINEAR DIFFUSIVE WAVES
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Cambridge University Press, 2009
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NONLINEAR DIFFUSIVE WAVES (PB 1987)
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NONLINEAR DIFFUSIVE WAVES (PB 1987)
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Nonlinear Diffusive Waves
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Cambridge University Press, 2009
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ISBN 13: 9780521093033
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Nonlinear Diffusive Waves (Paperback)
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Cambridge University Press, Cambridge, 2009
ISBN 10: 0521093031
ISBN 13: 9780521093033
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521093033
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Nonlinear Diffusive Waves
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Nonlinear Diffusive Waves
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Nonlinear Diffusive Waves
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Nonlinear Diffusive Waves
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Nonlinear Diffusive Waves
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