Global existence and asymptotic behavior for the 3D generalized Hall-MHD system

DOI10.1016/j.na.2016.11.010zbMath1358.35137OpenAlexW2560928243MaRDI QIDQ504355

Xing Wu, Yanbin Tang, Yanghai Yu

Publication date: 16 January 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.11.010

zbMATH Keywords

asymptotic behaviorglobal existencegeneralized Hall-MHD equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (26)

Well-posedness results for the 3D incompressible Hall-MHD equations ⋮ On well-posedness and blow-up criterion for the 2D tropical climate model ⋮ Well-posedness for the incompressible Hall-MHD equations in low regularity spaces ⋮ Global wellposedness for Hall-MHD equations ⋮ On well-posedness of generalized Hall-magneto-hydrodynamics ⋮ Initial boundary value problem for 3D Boussinesq system with the thermal damping ⋮ Decay characterization of solutions to generalized Hall-MHD system in R3 ⋮ Global smooth solutions to the 3D generalized Hall-magnetohydrodynamic equations with large data ⋮ On the asymptotic behavior of solutions to 3D generalized Hall‐MHD equations ⋮ Upper and lower \(\dot{H}^m\) estimates for solutions to parabolic equations ⋮ Continuous dependence of solutions in low regularity spaces for the Hall-MHD equations ⋮ A class large solution of the 2D MHD equations with velocity and magnetic damping ⋮ Decay estimates of nonlocal diffusion equations in some particle systems ⋮ Global existence and large time behavior of solutions for full compressible Hall-MHD equations ⋮ GLOBAL REGULARITY FOR 3D GENERALIZED HALL MAGNETO-HYDRODYNAMICS EQUATIONS ⋮ Unnamed Item ⋮ A class of large solutions to the 3D generalized Hall-MHD equations ⋮ The 3D incompressible Hall magneto-hydrodynamics equations with partial hyperdissipation ⋮ Unnamed Item ⋮ Global well-posedness and asymptotic behavior for the 2D Boussinesq system with variable viscosity ⋮ Global smooth solutions of the generalized MHD equations with large initial data ⋮ A class large solution of the 3D Hall-magnetohydrodynamic equations ⋮ On 3D Hall-MHD equations with fractional Laplacians: global well-posedness ⋮ On the well-posedness and temporal decay for the 3D generalized incompressible Hall-MHD system ⋮ A new blow-up criterion for the 2D generalized tropical climate model ⋮ Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations

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