Existence and uniqueness of low-energy weak solutions to the compressible 3D magnetohydrodynamics equations

DOI10.1016/j.jde.2019.09.037zbMath1433.35296arXiv2011.05651OpenAlexW2976870678WikidataQ127197971 ScholiaQ127197971MaRDI QIDQ2288029

Anthony Suen

Publication date: 16 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05651

zbMATH Keywords

uniquenesscontinuous dependenceglobal weak solutionscompressible magnetohydrodynamics

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (11)

Estimation of decay rates to large-solutions of 3D compressible magnetohydrodynamic system ⋮ Refined blow-up criteria for the three-dimensional viscous compressible flows with large external potential force and general pressure ⋮ Global regularity for the 3D compressible magnetohydrodynamics with general pressure ⋮ Existence and Stability of Dissipative Measure-Valued Solutions to the Full Compressible Magnetohydrodynamic Flows ⋮ Some Serrin type blow‐up criteria for the three‐dimensional viscous compressible flows with large external potential force ⋮ Entropy-bounded solutions to the 3D compressible heat-conducting magnetohydrodynamic equations with vacuum at infinity ⋮ Unnamed Item ⋮ Existence, stability and long time behaviour of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force ⋮ Existence and a blow-up criterion of solution to the 3D compressible Navier-Stokes-Poisson equations with finite energy ⋮ Optimal time‐decay rates for the 3D compressible Magnetohydrodynamic flows with discontinuous initial data and large oscillations ⋮ Global low-energy weak solutions of the compressible magneto-micropolar fluids in the half-space

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