Comparison of Solutions of the Nonlinear Transfer Equation

Автор(и)

  • A. M. Kholkin Pryazovskyi State Technical University, 7 Universitets'ka St., Mariupol 87500, Ukraine
  • T. A. Sanikidze Pryazovskyi State Technical University, 7 Universitets'ka St., Mariupol 87500, Ukraine

DOI:

https://doi.org/10.15407/mag13.04.344

Ключові слова:

нелінійне рівняння переносу, суперрозв’язки, суброзв’язки, теорема порівняння

Анотація

У роботi розглядається нелiнiйне еволюцiйне рiвняння, яке описує процес переносу енергiї випромiнюванням. Одержано теорему порiвняння для розв'язкiв цього рiвняння.

Mathematics Subject Classification: 35K55, 35K65.

Посилання

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S.K. Godunov, Equations of Mathematical Physics, Nauka, Moscow, 1971 (Russian).

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A.A. Samarskii, V.A. Galaktionov, S.P. Kurdyumov, and A.P. Mikhailov, Blow-Up in Quasilinear Parabolic Equations, Valter de Gruyter, Berlin, New York, 1995.

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Kholkin, A. M.; Sanikidze, T. A. Comparison of Solutions of the Nonlinear Transfer Equation. Журн. мат. фіз. анал. геом. 2017, 13, 344-352.

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