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ЖУРНАЛЫ // Theoretical and Applied Mechanics // Архив

Theor. Appl. Mech., 2024, том 51, выпуск 2, страницы 165–188 (Mi tam147)

Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations

Jan Muhammad

Department of Mathematics, Shanghai University, Shanghai, P. R. China

Аннотация: In this article, we investigate the global behavior of magnetohydrodynamic (MHD) fluid's weak solutions in three-dimensional bounded domain with a compact Lipschitz boundary driven by arbitrary forces. We show that global compact attractors exist under specific limitations on the adiabatic constant $\gamma$.

Ключевые слова: weak solutions, compressible MHD fluid, bounded absorbing sets, asymptotic compactness, short trajectory, closed trajectory, attractor.

MSC: 76A05, 35Q35

Поступила в редакцию: 28.08.2024
Принята в печать: 26.11.2024

Язык публикации: английский

DOI: https://doi.org/10.2298/TAM240828009M



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