 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| E.V. Teodorovich, "Exact self-similar solution of a certain equation of non-linear diffusion with dissipation," J. Appl. Math. Mech. 78 (4), 348-353 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
4 |
Pages |
348-353 |
| Title |
Exact self-similar solution of a certain equation of non-linear diffusion with dissipation |
| Author(s) |
E.V. Teodorovich (Moscow, Russia, teodor@ipmnet.ru) |
| Abstract |
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. |
| Received |
28 October 2013 |
| Link to Fulltext |
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