On the role of conservation laws and input data in the generation of peaking modes in quasilinear multidimensional parabolic equations with nonlinear source and in their approximations

Author:

Matus P. P.,Churbanova N. G.,Shchadinskii D. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference18 articles.

1. Samarskii, A.A., Teoriya raznostnykh skhem (Theory of Finite-Difference Schemes), Moscow: Nauka, 1977.

2. Samarskii, A.A. and Popov, Yu.P., Raznostnye metody resheniya zadach gazovoi dinamiki (Finite-Difference Methods for the Solution of Problems of Gas Dynamics), Moscow: Nauka, 1980.

3. Samarskii, A.A., Galaktionov, V.A., Kurdyumov, S.P., and Mikhailov, A.P., Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uravnenii (Peaking Modes in Problems for Quasilinear Parabolic Equations), Moscow: Nauka, 1987.

4. Kurdyumov, V.S. and Malinetskii, G.G., Rezhimy s obostreniem: evolyutsiya idei (Peaking Modes: Evolution of the Idea), Moscow, 2006.

5. Matus, P.P., Lemeshevsky, S., and Kondratsiuk, A., Well-Posedness and Blow-up for BVP for Nonlinear Parabolic Equations and Numerical Methods, Comput. Methods Appl. Math., 2010, vol. 10, no. 4, pp. 395–420.

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