Global well-posedness of the generalized magnetohydrodynamic equations
From MaRDI portal
Publication:1990644
DOI10.1007/s00033-018-1021-yzbMath1404.35374OpenAlexW2890034818MaRDI QIDQ1990644
Publication date: 25 October 2018
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-018-1021-y
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Fractional partial differential equations (35R11)
Related Items (11)
On the strong solution of 3D non-isothermal Navier–Stokes–Cahn–Hilliard equations ⋮ On well-posedness of generalized Hall-magneto-hydrodynamics ⋮ A regularity criterion for the 3D generalized MHD system involving partial components ⋮ The global existence and analyticity of a mild solution to the 3D regularized MHD equations ⋮ The global well-posedness of strong solutions to 2D MHD equations in Lei-Lin space ⋮ On well-posedness and large time behavior for smectic-a liquid crystals equations in \(\mathbb{R}^3\) ⋮ Temporal decay of a global solution to 3D magnetohydrodynamic system in critical spaces ⋮ Temporal decay estimate of solutions to 3D generalized magnetohydrodynamic system ⋮ Unnamed Item ⋮ Global existence and large time behavior of solutions to 3D MHD system near equilibrium ⋮ Decay rate of global solutions to three dimensional generalized MHD system
Cites Work
- Unnamed Item
- Unnamed Item
- Global well-posedness for the generalized magneto-hydrodynamic equations in the critical Fourier-Herz spaces
- Global well-posedness for Navier-Stokes equations in critical Fourier-Herz spaces
- Existence and regularizing rate estimates of solutions to a generalized magneto-hydrodynamic system in pseudomeasure spaces
- Long time decay to the Lei-Lin solution of 3D Navier-Stokes equations
- Global well-posedness for Keller-Segel system in Besov type spaces
- Remarks on regularities for the 3D MHD equations
- On the blow-up criterion of smooth solutions to the 3D ideal MHD equations
- Global well-posedness and decay results to 3D generalized viscous magnetohydrodynamic equations
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
- Asymptotic decay of solutions to 3D MHD equations
- Existence theorem and regularity criteria for the generalized MHD equations
- On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
- Regularity criteria for the 3D generalized MHD equations in terms of vorticity
- Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
- Generalized MHD equations.
- Bilinear estimates in \(BMO\) and the Navier-Stokes equations
- Non-blowup at large times and stability for global solutions to the Navier-Stokes equations
- Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in \(\mathbb{R}^ 3\)
- A regularity criterion for the 3D generalized MHD equations
- The well-posedness of the incompressible magnetohydrodynamic equations in the framework of Fourier-Herz space
- On the Navier-Stokes initial value problem. I
- On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations
- Regularity criteria for the generalized viscous MHD equations
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Global well-posedness of the three dimensional magnetohydrodynamics equations
- Inéquations en thermoélasticité et magnétohydrodynamique
- Some mathematical questions related to the mhd equations
- Global existence of three dimensional incompressible MHD flows
- Global mild solutions of Navier‐Stokes equations
- Well‐posedness for the incompressible magneto‐hydrodynamic system
- A Losing Estimate for the Ideal MHD Equations with Application to Blow‐up Criterion
- Regularity Criteria for the Generalized MHD Equations
- Well-posedness for the Navier-Stokes equations
This page was built for publication: Global well-posedness of the generalized magnetohydrodynamic equations
