Decay rates of the highest order spatial derivatives for solutions of compressible Hall MHD system with or without Coulomb force

DOI10.1016/j.jmaa.2023.128021OpenAlexW4389431549MaRDI QIDQ6180476

Fei Chen, Tongtong Sun

Publication date: 19 January 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.128021

zbMATH Keywords

decay ratesCoulomb forcecompressible MHD systemspatial derivativesHall effect term

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Initial value problems for mixed-type systems of PDEs (35M31)

Cites Work

• Unnamed Item
• Global existence and optimal decay rates of solutions for compressible Hall-MHD equations
• Optimal decay rates of classical solutions for the full compressible MHD equations
• On strong solutions to the compressible Hall-magnetohydrodynamic system
• On global existence, energy decay and blow-up criteria for the Hall-MHD system
• Asymptotic stability of stationary solutions for Hall magnetohydrodynamic equations
• Global existence and large-time behavior of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force
• Local well-posedness for the Hall-MHD system in optimal Sobolev spaces
• Long-time behavior of solution to the compressible magnetohydrodynamic equations
• Decay of the compressible magnetohydrodynamic equations
• Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations
• Boundedness and time decay of solutions to a full compressible Hall-MHD system
• Global stability of large solutions of the 3-D compressible magnetohydrodynamic equations
• A free boundary problem for planar compressible Hall-magnetohydrodynamic equations
• Optimal decay rates of the compressible magnetohydrodynamic equations
• Global existence and exponential stability of solutions for planar compressible Hall-magnetohydrodynamic equations
• Decay-in-time of the highest-order derivatives of solutions for the compressible isentropic MHD equations
• Optimal decay of compressible Navier-Stokes equations with or without potential force
• Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations
• Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework
• The decay estimates for magnetohydrodynamic equations with Coulomb force
• Weak-strong uniqueness for compressible magnetohydrodynamic equations with Coulomb force
• A class large solution of the 3D Hall-magnetohydrodynamic equations
• The asymptotic stability of the solution to the full Hall-MHD system in \(\mathbb{R}^3\)
• On the Cauchy problem of compressible full Hall-MHD equations
• Large time behavior of the compressible magnetohydrodynamic equations with Coulomb force
• Time-periodic and stationary solutions to the compressible Hall-magnetohydrodynamic system
• Global existence and convergence rates of smooth solutions for the full compressible MHD equations
• On the Cauchy problem for the compressible Hall-magneto-hydrodynamics equations
• A note on global existence of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force
• On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
• Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
• On the temporal decay for the Hall-magnetohydrodynamic equations
• Vorticity and Incompressible Flow
• Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations
• Commutator estimates and the euler and navier-stokes equations
• Decay of Dissipative Equations and Negative Sobolev Spaces
• Optimal large time behaviour of the 3D compressible magnetohydrodynamics equations with large initial data
• Global existence and large time behavior of solutions for full compressible Hall-MHD equations
• The asymptotic behavior of globally smooth solutions to the compressible magnetohydrodynamic equations with Coulomb force
• Estimation of decay rates to large-solutions of 3D compressible magnetohydrodynamic system
• Global existence and temporal decay for the 3D compressible Hall-magnetohydrodynamic system
• Space-time decay estimates for the incompressible viscous resistive MHD and Hall-MHD equations
• On analyticity and temporal decay rates of solutions to the viscous resistive Hall-MHD system

This page was built for publication: Decay rates of the highest order spatial derivatives for solutions of compressible Hall MHD system with or without Coulomb force