On the well-posedness of strong solution to ideal magnetohydrodynamic equations

DOI10.1080/00207160.2017.1283413zbMath1394.35363OpenAlexW2573223032MaRDI QIDQ3177470

Rong Yuan, Mingshuo Liu

Publication date: 25 July 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1283413

zbMATH Keywords

Galerkin methodwell-posednessstrong solutionincompressible flowideal magnetohydrodynamic equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (1)

On the existence of solution, Lie symmetry analysis and conservation law of magnetohydrodynamic equations

Cites Work

• ADER-WENO finite volume schemes with space-time adaptive mesh refinement
• Homotopy analysis method for MHD viscoelastic fluid flow and heat transfer in a channel with a stretching wall
• Effects of thermal radiation and space porosity on MHD mixed convection flow in a vertical channel using homotopy analysis method
• The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition
• The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
• On the Euler equations of incompressible perfect fluids
• A solution-adaptive upwind scheme for ideal magnetohydrodynamics
• Remarks on the Euler equation
• Exploring various flux vector splittings for the magnetohydrodynamic system
• Euler equation in a channel in space dimension 2 and 3
• A CWENO-type central-upwind scheme for ideal MHD equations
• Nonlinear stability of fluid and plasma equilibria
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• UNSTEADY SQUEEZING FLOW OF A VISCOUS MHD FLUID BETWEEN PARALLEL PLATES, A SOLUTION USING THE HOMOTOPY PERTURBATION METHOD
• Numerical solution of shallow water magnetohydrodynamic equations with non-flat bottom topography
• Norm inflation for generalized magneto-hydrodynamic system
• On an apriori estimate in the theory of hydrodynamical stability

This page was built for publication: On the well-posedness of strong solution to ideal magnetohydrodynamic equations