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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2022 Volume 62, Number 7, Pages 1100–1114 (Mi zvmmf11422)

Partial Differential Equations

On the global solvability of a boundary value problem for the equations of a viscous heat-conducting gas under the radiative transfer conditions

E. V. Amosovaab

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, 690041, Vladivostok, Russia
b Far Eastern Federal University, 690091, Vladivostok, Russia

Abstract: A model of a viscous ideal gas under conditions of radiative-convective heat conduction is considered. The unique solvability of the boundary value problem is proved in the classes of generalized and classical solutions for the equations of complex heat transfer in a compressible medium on an interval.

Key words: system of Navier–Stokes equations, radioactive gas, global solvability.

UDC: 517.95

Received: 12.01.2022
Revised: 07.02.2022
Accepted: 11.03.2022

DOI: 10.31857/S004446692207002X


 English version:
Computational Mathematics and Mathematical Physics, 2022, 62:7, 1074–1088

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© Steklov Math. Inst. of RAS, 2026