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Published in 2020 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09844-5
Abstract: We consider stability problems for the compressible viscous and diffusive magnetohydrodynamic (MHD) equations arising in the modeling of magnetic field confinement nuclear fusion. In the first part, we investigate the Cauchy problem to the barotropic…
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Keywords:
constant equilibrium;
mhd;
equilibrium solutions;
non constant ... See more keywords
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Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0048122
Abstract: In this paper, we consider a three-dimensional compressible viscous heat-conducting fluid in a horizontally periodic domain, bounded above by a free surface and below by a rigid bottom. The motion of the fluid is governed…
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Keywords:
surface;
viscous heat;
heat conducting;
compressible viscous ... See more keywords
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Published in 2019 at "Physical Review E"
DOI: 10.1103/physreve.100.033315
Abstract: In this paper, the multicomponent lattice Boltzmann flux solver (LBFS) is developed for simulation of two-dimensional compressible viscous reacting flows. This work is based on the existing LBFS for simulation of single-component compressible flows. The…
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Keywords:
solver;
flux;
lattice boltzmann;
compressible viscous ... See more keywords
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Published in 2017 at "Journal of Applied and Industrial Mathematics"
DOI: 10.1134/s1990478917010161
Abstract: Under study is the dependence of solutions of an inhomogeneous boundary value problem for a system of equations of mixtures of compressible viscous fluids on the shape of the flow domain. The obtained results can…
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Keywords:
equations mixtures;
dependence solutions;
value problem;
mixtures compressible ... See more keywords