Global well-posedness and asymptotic behavior of solutions for the three-dimensional MHD equations with Hall and ion-slip effects
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Publication:1635915
DOI10.1007/s00033-018-0907-zzbMath1392.35243OpenAlexW2791621154MaRDI QIDQ1635915
Publication date: 1 June 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/s00033-018-0907-z
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) 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) Weak solutions to PDEs (35D30)
Related Items (15)
Blow-up solutions in a Cauchy problem of parabolic equations with spatial coefficients ⋮ On the local existence of 3D magnetic Bénard system with Hall, ion-slip effects and zero thermal conductivity ⋮ Decay characterization of solutions to generalized Hall-MHD system in R3 ⋮ On the asymptotic behavior of solutions to 3D generalized Hall‐MHD equations ⋮ A class of global large, smooth solutions for the magnetohydrodynamics with Hall and ion‐slip effects ⋮ On the well-posedness of magnetohydrodynamics system with Hall and ion-slip in critical spaces ⋮ Blow-up profile of solutions in parabolic equations with nonlocal Dirichlet conditions ⋮ On the well-posedness and decay characterization of solutions for incompressible electron inertial Hall-MHD equations ⋮ Upper and lower \(\dot{H}^m\) estimates for solutions to parabolic equations ⋮ Global existence and large time behavior of solutions for full compressible Hall-MHD equations ⋮ Space-time decay estimates of solutions to 3D incompressible viscous Camassa-Holm equations ⋮ On the local well-posedness of strong solutions to 3D MHD equations with Hall and ion-slip effects ⋮ On the well-posedness and temporal decay for the 3D generalized incompressible Hall-MHD system ⋮ Asymptotic behavior of solutions to incompressible electron inertial Hall-MHD system in \(\mathbb{R}^3\) ⋮ Space–time decay of solutions to three-dimensional MHD equations with Hall and ion-slip effects
Cites Work
- Unnamed Item
- On regularity criteria for the 3D incompressible MHD equations involving one velocity component
- On well-posedness and blow-up for the full compressible Hall-MHD system
- On the blow-up criterion of strong solutions for the MHD equations with the Hall and ion-slip effects in \({\mathbb{R}^{3}}\)
- Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
- On strong solutions to the compressible Hall-magnetohydrodynamic system
- On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects
- On global existence, energy decay and blow-up criteria for the Hall-MHD system
- Decay of solutions to a new Hall-MHD system in \(\mathbb{R}^3\)
- On blow-up criteria for a new Hall-MHD system
- Well-posedness for Hall-magnetohydrodynamics
- Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion
- Poincaré's inequality and diffusive evolution equations
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- Uniqueness of M.H.D. thermodiffusive mixture flows with Hall and ion-slip effects
- On an initial-boundary value problem for the equation of magnetohydrodynamics with the Hall and ion-slip effects
- Regularity criteria for the 3D generalized MHD and Hall-MHD systems
- Low regularity well-posedness for the 3D generalized Hall-MHD system
- On the temporal decay for the Hall-magnetohydrodynamic equations
- Regularity criteria for the incompressible Hall-MHD system
- Characterization of Solutions to Dissipative Systems with Sharp Algebraic Decay
- Large time decay and growth for solutions of a viscous Boussinesq system
- Decay of solutions to the three-dimensional generalized Navier–Stokes equations
- Large time behaviour of solutions to the navier-stokes equations
- Commutator estimates and the euler and navier-stokes equations
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ3
- Decay characterization of solutions to dissipative equations
- On analyticity and temporal decay rates of solutions to the viscous resistive Hall-MHD system
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