Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions

DOI10.1007/s00021-023-00827-2zbMath1528.76096arXiv2304.00522MaRDI QIDQ6077027

Eduard Feireisl, Piotr Gwiazda, Young-Sam Kwon, Agnieszka Świerczewska-Gwiazda

Publication date: 17 October 2023

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.00522

zbMATH Keywords

weak solutionglobal-in-time solvabilityweak-strong uniqueness principleinhomogeneous boundary datastellar magnetoconvection model

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (1)

On the weak solutions to the multicomponent reactive flows driven by non-conservative boundary conditions

Cites Work

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• New Korn-type inequalities and regularity of solutions to linear elliptic systems and anisotropic variational problems involving the trace-free part of the symmetric gradient
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
• Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
• About an initial-boundary value problem from magneto-hydrodynamics
• Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
• On the implosion of a compressible fluid. I: Smooth self-similar inviscid profiles
• On the implosion of a compressible fluid. II: Singularity formation
• Weak-strong uniqueness property for the full Navier-Stokes-Fourier system
• On the long-time behaviour of solutions to the Navier-Stokes-Fourier system with a time-dependent driving force
• Über ein Rand-Anfangswertproblem der Magnetohydrodynamik
• Magnetoconvection
• Mathematics of Open Fluid Systems
• Navier–Stokes–Fourier system with Dirichlet boundary conditions
• Singular limits in thermodynamics of viscous fluids
• Smooth self-similar imploding profiles to 3D compressible Euler

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