Global well-posedness to the 2D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum

X Zhong - Calculus of Variations and Partial Differential …, 2021 - Springer
We establish global well-posedness of strong solutions to the nonhomogeneous heat
conducting magnetohydrodynamic equations with non-negative density on the whole space …

Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large oscillations and vacuum

Y Zhang, X Zhong - Nonlinear Analysis, 2023 - Elsevier
We consider the Cauchy problem of nonhomogeneous heat conducting
magnetohydrodynamic equations with vacuum in R 3. Based on delicate energy estimates …

Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and …

X Zhong - Analysis and Applications, 2022 - World Scientific
We investigate an initial boundary value problem of two-dimensional nonhomogeneous
heat conducting magnetohydrodynamic equations. We prove that there exists a unique …

Global existence and large time behavior of strong solutions for 3D nonhomogeneous heat-conducting magnetohydrodynamic equations

X Zhong - The Journal of Geometric Analysis, 2021 - Springer
We are concerned with an initial boundary value problem of nonhomogeneous heat-
conducting magnetohydrodynamic equations in a bounded simply connected smooth …

Global strong solutions of three-dimensional heat conducting incompressible magnetohydrodynamic equations with vacuum

L Li, Q Tao - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
This paper is devoted to studying global existence and large time behavior of strong
solutions of the three-dimensional heat conducting incompressible magnetohydrodynamic …

Local well‐posedness to the 2D Cauchy problem of nonhomogeneous heat‐conducting Navier–Stokes and magnetohydrodynamic equations with vacuum at infinity

H Chen, X Zhong - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
This paper concerns the Cauchy problem of nonhomogeneous heat‐conducting
magnetohydrodynamic (MHD) equations in ℝ 2 with vacuum as far‐field density. By spatial …

Global existence and large time behavior of strong solutions to the Cauchy problem of the 3D heat conducting incompressible MHD flows

Y Liu, N Zhou, D Chang - Journal of Mathematical Analysis and …, 2022 - Elsevier
In this paper, we consider an initial value problem of inhomogeneous heat conducting
magnetohydrodynamic equations in R 3. Through some time-weighted a priori estimates, we …

Weak Serrin-type finite time blowup and global strong solutions for three-dimensional density-dependent heat conducting magnetohydrodynamic equations with …

H Li - Applications of Mathematics, 2023 - Springer
This paper is concerned with a Cauchy problem for the three-dimensional (3D)
nonhomogeneous incompressible heat conducting magnetohydrodynamic (MHD) equations …

[PDF][PDF] Serrin-type blowup criterion of three-dimensional nonhomogeneous heat conducting magnetohydrodynamic flows with vacuum

L Zhou - Electronic Journal of Qualitative Theory of Differential …, 2019 - real.mtak.hu
We consider an initial boundary value problem for the nonhomogeneous heat conducting
magnetohydrodynamic flows. We show that for the initial density allowing vacuum, the …

Strong Solutions for Three-dimensional Nonhomogeneous Incompressible Heat Conducting Magnetohydrodynamic Equations with Vacuum

H Li - arXiv preprint arXiv:2204.04610, 2022 - arxiv.org
This paper is concerned with a Cauchy problem for the three-dimensional (3D)
nonhomogeneous incompressible heat conducting magnetohydrodynamic (MHD) equations …