Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. I

Author:

Rudykh G. A.,Semënov È. I.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference50 articles.

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3. Martinson L. K. “Investigation of a mathematical model of the process of nonlinear heat conduction in media with volume absorption,” in: Mathematical Simulation. Processes in Nonlinear Media [in Russian] [in Russian], Nauka, Moscow, 1986, pp. 279–309.

4. Kalashnikov, A. S., “Some questions of the qualitative theory of nonlinear degenerate parabolic equations of the second order,” Uspekhi Mat. Nauk,42, No. 2, 135–176 (1987).

5. Galaktionov V. A., Dorodnitsyn V. A., Elenin G. G., Kurdyumov S. P., andSamarskiî A. A., “A quasilinear heat equation with a source: blow-up, localization, symmetry, exact solutions, asymptotics, and structures,” in: Contemporary Problems of Mathematics. Modern Achievements [in Russian], VINITI, Moscow, 1987,28, pp. 95–205. (Itogi Nauki i Tekhniki.)

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