Global smooth solutions in \(\mathbb{R}^3\) to short wave-long wave interactions in magnetohydrodynamics

DOI10.1016/j.jde.2016.12.012zbMath1371.35218OpenAlexW2566612394MaRDI QIDQ505684

Ronghua Pan, Hermano Frid, Junxiong Jia

Publication date: 26 January 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.12.012

zbMATH Keywords

global existencecompressible MHD systemtime decay estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Modeling Aurora Type Phenomena by Short Wave-Long Wave Interactions in Multidimensional Large Magnetohydrodynamic Flows ⋮ Global well-posedness of classical solution to the interactions between short-long waves with large initial data ⋮ The optimal temporal decay rates for compressible Hall-magnetohydrodynamics system ⋮ On Short Wave-Long Wave Interactions in the Relativistic Context ⋮ Vanishing viscosity limit of short wave-long wave interactions in planar magnetohydrodynamics ⋮ Global Smooth Solutions With Large Data for a System Modeling Aurora Type Phenomena in the 2-Torus

Cites Work

• Decay of the Navier-Stokes-Poisson equations
• The optimal decay estimates on the framework of Besov spaces for generally dissipative systems
• Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics
• Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• Optimal decay rates of the compressible magnetohydrodynamic equations
• Global Smooth Solutions in $\mathbb{R}^3$ to Short Wave-Long Wave Interactions Systems for Viscous Compressible Fluids
• Fourier Analysis and Nonlinear Partial Differential Equations
• Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations
• Short Wave–Long Wave Interactions for Compressible Navier–Stokes Equations
• On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
• A General Theory for Interactions Between Short and Long Waves
• Decay of Dissipative Equations and Negative Sobolev Spaces

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