Large time existence of special strong solutions to MHD equations in cylindrical domains

DOI10.1007/s00021-017-0353-2zbMath1401.35253OpenAlexW2777294837WikidataQ59610051 ScholiaQ59610051MaRDI QIDQ1795278

Wojciech M. Zajączkowski, Gerhard Ströhmer, Bernard Nowakowski

Publication date: 16 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00021-017-0353-2

zbMATH Keywords

strong solutionslarge dataMHD equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (2)

Local well-posedness for a two-phase model with magnetic field and vacuum. ⋮ On global regular solutions to magnetohydrodynamics in axi-symmetric domains

Cites Work

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• Global regularity for some classes of large solutions to the Navier-Stokes equations
• Two regularity criteria for the 3D MHD equations
• About an initial-boundary value problem from magneto-hydrodynamics
• An existence result for partially regular weak solutions of certain abstract evolution equations, with an application to magneto-hydrodynamics
• On the existence of \(L^{p}\) solutions of the magnetohydrodynamic equations in a bounded domain
• Overdetermined elliptic boundary-value problems
• About the equations of non-stationary magneto-hydrodynamics
• Navier-Stokes equations in three-dimensional thin domains with various boundary conditions
• Large time existence of strong solutions to micropolar equations in cylindrical domains
• About the equations of non-stationary magneto-hydrodynamics with non-conducting boundaries
• Nonstationary Stokes system in cylindrical domains under boundary slip conditions
• On the global well-posedness of \(N\)-dimensional generalized MHD system in anisotropic spaces
• Inéquations en thermoélasticité et magnétohydrodynamique
• An Introduction to Magnetohydrodynamics
• Energy Fluxes and Shell-to-Shell Transfers in MHD Turbulence
• Multiplicative Sobolev inequalities of the Ladyzhenskaya type
• Some mathematical questions related to the mhd equations
• On the Ohm–Navier–Stokes system in magnetohydrodynamics
• Stability of two‐dimensional magnetohydrodynamic motions in the periodic case
• Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity
• Three-dimensional magnetohydrodynamic turbulence in cylindrical geometry
• Magnetohydrodynamic experiments on cosmic magnetic fields

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