Optimal decay rate and convergence of the incompressible viscous resistive MHD system
DOI10.1016/j.jmaa.2023.128049OpenAlexW4389956294MaRDI QIDQ6150495
Yuan Xu, Yingxin Hou, Fujun Zhou
Publication date: 8 February 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.2023.128049
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electromagnetic theory (general) (78A25) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
- Unnamed Item
- Optimal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
- A note on the blow-up criterion of smooth solutions to the 3D incompressible MHD equations
- On the blow-up criterion of smooth solutions to the 3D ideal MHD equations
- Global well posedness for the Maxwell-Navier-Stokes system in 2D
- Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- On \(L^ 2\) decay of weak solutions of the Navier-Stokes equations in \(\mathbb R^ n\)
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
- The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
- Pointwise estimates for bipolar compressible Navier-Stokes-Poisson system in dimension three
- From the Vlasov-Maxwell-Boltzmann system to incompressible viscous electro-magneto-hydrodynamics. Volume 1
- Global classical solutions to the two-fluid incompressible Navier-Stokes--Maxwell system with Ohm's law
- Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
- Convergence from two-fluid incompressible Navier-Stokes-Maxwell system with Ohm's law to solenoidal Ohm's law: classical solutions
- Optimal decay rate of the two-fluid incompressible Navier-Stokes-Fourier-Poisson system with Ohm's law
- Global well-posedness and optimal decay rate of the quasi-static incompressible Navier-Stokes-Fourier-Maxwell-Poisson system
- Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
- On the Navier-Stokes initial value problem. I
- Optimal decay rates for the compressible fluid models of Korteweg type
- Asymptotic behavior of global smooth solutions for full compressible Navier-Stokes-Maxwell equations
- Vorticity and Incompressible Flow
- Asymptotic Profiles of Nonstationary Incompressible Navier--Stokes Flows in the Whole Space
- On the critical one component regularity for 3-D Navier-Stokes system
- GREEN'S FUNCTION AND LARGE TIME BEHAVIOR OF THE NAVIER–STOKES–MAXWELL SYSTEM
- Large time behavior for the non-isentropic Navier-Stokes-Maxwell system
- Global Small Solutions for the Navier–Stokes–Maxwell System
- Large time behaviour of solutions to the navier-stokes equations
- Commutator estimates and the euler and navier-stokes equations
- Some observations on Besov and Lizorkin-Triebel spaces.
- A new proof of the Caffarelli-Kohn-Nirenberg theorem
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Derivation of Ohm's Law from the Kinetic Equations
- OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
- Well-posedness of the Navier—Stokes—Maxwell equations
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
- Well-posedness for the Navier-Stokes equations
This page was built for publication: Optimal decay rate and convergence of the incompressible viscous resistive MHD system
