Solution to a Two-Dimensional Nonlinear Parabolic Heat Equation Subject to a Boundary Condition Specified on a Moving Manifold

Author:

Kazakov A. L.,Nefedova O. A.,Spevak L. F.

Publisher

Pleiades Publishing Ltd

Reference29 articles.

1. Ya. B. Zel’dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Vols. 1 and 2 (2nd ed., Nauka, Moscow, 1966; Academic, New York, 1966, 1967).

2. G. I. Barenblatt, V. M. Entov, and V. M. Ryzhik, The Theory of Unsteady Filtration of Fluids and Gases (Nedra, Moscow, 1972) [in Russian].

3. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 2004; Pergamon, Oxford, 1963).

4. O. A. Ladyžhenskaya, V. A. Solonnikov, and N. A. Ural'tseva, Linear and Quasi-linear Equations of Parabolic Type (Nauka, Moscow, 1967

5. Am. Math. Soc., Providence, R.I., 1968).

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