Decay rates for the viscous incompressible MHD equations with and without surface tension

DOI10.1016/j.camwa.2019.02.008zbMath1442.76143arXiv1807.10144OpenAlexW2919803685MaRDI QIDQ2204041

Lan Zeng, Bo-ling Guo, GuoXi Ni

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10144

zbMATH Keywords

decay ratesglobal well-posednessMHD equationswith and without surface tension

Mathematics Subject Classification ID

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

Related Items (6)

Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics* ⋮ Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ Local well-posedness of the free-boundary incompressible magnetohydrodynamics with surface tension ⋮ Local well-posedness of the free-boundary problem in compressible resistive magnetohydrodynamics ⋮ A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension ⋮ Lagrangian approach to global well-posedness of viscous incompressible MHD equations

Cites Work

• Unnamed Item
• Local well-posedness of the viscous surface wave problem without surface tension
• On the free boundary problem of magnetohydrodynamics
• Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations
• Solvability of the free boundary value problem of the Navier-Stokes equations
• Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval
• Large-time regularity of viscous surface waves
• Decaying solution of a Navier-Stokes flow without surface tension
• Large-time existence of surface waves in incompressible viscous fluids with or without surface tension
• Small-time existence for the three-dimensional Navier-Stokes equations for an incompressible fluid with a free surface
• Almost exponential decay of periodic viscous surface waves without surface tension
• Zero surface tension limit of viscous surface waves
• Decay of viscous surface waves without surface tension in horizontally infinite domains
• Global in time behavior of viscous surface waves: horizontally periodic motion
• Large time existence of small viscous surface waves without surface tension
• The initial value problem for the navier-stokes equations with a free surface
• Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field
• Dynamics and Stability of Surface Waves with Surfactants

This page was built for publication: Decay rates for the viscous incompressible MHD equations with and without surface tension