Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations
Theoretical and applied mechanics, Tome 51 (2024) no. 2, p. 165
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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 $\gamma$.
Classification :
76A05, 35Q35
Keywords: weak solutions, compressible MHD fluid, bounded absorbing sets, asymptotic compactness, short trajectory, closed trajectory, attractor
Keywords: weak solutions, compressible MHD fluid, bounded absorbing sets, asymptotic compactness, short trajectory, closed trajectory, attractor
Jan Muhammad. Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations. Theoretical and applied mechanics, Tome 51 (2024) no. 2, p. 165 . doi: 10.2298/TAM240828009M
@article{10_2298_TAM240828009M,
author = {Jan Muhammad},
title = {Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations},
journal = {Theoretical and applied mechanics},
pages = {165 },
year = {2024},
volume = {51},
number = {2},
doi = {10.2298/TAM240828009M},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM240828009M/}
}
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