Global solutions to the Maxwell-Navier-Stokes system in a bounded domain in 2D

DOI10.1007/s00033-020-01364-yzbMath1466.35283OpenAlexW3045480657MaRDI QIDQ2023671

Tohru Ozawa, Jishan Fan

Publication date: 3 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01364-y

zbMATH Keywords

global well-posednessNavier boundary conditionMaxwell-Navier-Stokes systemtwo dimensional bounded domain

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (1)

Global well-posedness for the three-dimensional Navier-Stokes-Maxwell system with damping

Cites Work

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• Global well posedness for the Maxwell-Navier-Stokes system in 2D
• Remarks on the Euler equation
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• Regularity criteria for the 3D density-dependent incompressible Maxwell-Navier-Stokes system
• An Introduction to Magnetohydrodynamics
• GREEN'S FUNCTION AND LARGE TIME BEHAVIOR OF THE NAVIER–STOKES–MAXWELL SYSTEM
• On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
• Nonlinear Schrödinger evolution equations

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