Exact self-similar solution of a certain equation of non-linear diffusion with dissipation

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[1] Teodorovich, E.V.

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Teodorovich, E.V. (teodor@ipmnet.ru) | 1600年 / Elsevier Ltd卷 / 78期

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Using the renormalization-group method; an exact solution of the equation of non-linear diffusion with dissipation of the Cahn-Hilliard type is obtained. When finding an admissible form of the self-similar solution; only dimensionality arguments and the property of renormalization invariance are used. The form of the initial and boundary conditions; consistent with the non-linear equation cannot be given in advance; but is found from the solution of the renormalization-group equations. ©2015 Elsevier B.V. All rights reserved;

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