Global regularity for the Navier-Stokes-Maxwell system with fractional diffusion

DOI10.1007/s11040-018-9278-0zbMath1398.35061OpenAlexW2883095793MaRDI QIDQ1664574

Zaihong Jiang, Shuyun Zhang, Mingxuan Zhu

Publication date: 27 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-018-9278-0

zbMATH Keywords

existence and uniqueness of solutionsfractional diffusionNavier-Stokes-Maxwell system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

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

Cites Work

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• Generalised Gagliardo-Nirenberg inequalities using weak Lebesgue spaces and BMO
• The generalized incompressible Navier-Stokes equations in Besov spaces
• Local solvability and loss of smoothness of the Navier-Stokes-Maxwell equations with large initial data
• Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
• Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space and BMO
• Global well posedness for the Maxwell-Navier-Stokes system in 2D
• Scaling invariant regularity criteria for the Navier-Stokes-Maxwell system
• Notes on the global well-posedness for the Maxwell-Navier-Stokes system
• Regularity criteria for the 3D density-dependent incompressible Maxwell-Navier-Stokes system
• Asymptotic behavior, regularity criterion and global existence for the generalized Navier-Stokes equations
• GREEN'S FUNCTION AND LARGE TIME BEHAVIOR OF THE NAVIER–STOKES–MAXWELL SYSTEM
• Global Small Solutions for the Navier–Stokes–Maxwell System
• Decay of solutions to the three-dimensional generalized Navier–Stokes equations
• Remarks on strongly elliptic partial differential equations
• Commutator estimates and the euler and navier-stokes equations
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Well-posedness of the Navier—Stokes—Maxwell equations

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