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Titlebook: Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations; P.L. Sachdev,Ch.‘Srinivasa Rao Book 2010 Springer-Verlag

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Asymptotics in Fluid Mechanics,whose carriers have an advantage in the struggle for existence, and fluid mechanics, in particular,andinvolving shocks. In Chapters 3 and 4, we studied the asymptotic behaviour of solutions of nonlinear PDEs of parabolic type, which include those describing gene propagation. In the present chapter,
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Self-Similar Solutions as Large Time Asymptotics for Some Nonlinear Parabolic Equations,ed similarity solutions (which include product solutions as special cases) come in handy. For linear problems, these special solutions may be superposed and hence certain classes of initial/boundary value problems can be explicitly solved in a series form.
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Book 2010hese..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
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations978-0-387-87809-6Series ISSN 1439-7382 Series E-ISSN 2196-9922
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P.L. Sachdev,Ch.‘Srinivasa RaoIncludes supplementary material:
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