Existence of weak solutions to an evolutionary model for magnetoelasticity

B Benesova, J Forster, C Liu… - SIAM Journal on …, 2018 - SIAM
We prove existence of weak solutions to an evolutionary model derived for magnetoelastic
materials. The model is phrased in Eulerian coordinates and consists in particular of (i) a …

[HTML][HTML] Global well-posedness and decay estimates of strong solutions to a two-phase model with magnetic field

H Wen, L Zhu - Journal of Differential Equations, 2018 - Elsevier
In this paper, we consider the Cauchy problem for a two-phase model with magnetic field in
three dimensions. The global existence and uniqueness of strong solution as well as the …

Decay-in-time of the highest-order derivatives of solutions for the compressible isentropic MHD equations

W Huang, X Lin, W Wang - Journal of Mathematical Analysis and …, 2021 - Elsevier
In this paper, we consider the large time behavior of the Cauchy problem for the three-
dimensional isentropic compressible magnetohydrodynamic (MHD) equations. The global …

Global Bounded Weak Entropy Solutions to the Euler--Vlasov Equations in Fluid-Particle System

W Cao, P Jiang - SIAM Journal on Mathematical Analysis, 2021 - SIAM
In this paper, we consider a fluid-particle system which describes the evolution of a two-
phase flow. The system consists of the compressible Euler equations for the fluid (fluid …

[HTML][HTML] Global well-posedness and large time behavior of classical solutions to the Vlasov–Fokker–Planck and magnetohydrodynamics equations

P Jiang - Journal of Differential Equations, 2017 - Elsevier
We are concerned with the global well-posedness of the fluid-particle system which
describes the evolutions of disperse two-phase flows. The system consists of the Vlasov …

Stability and exponential decay of the magnetic Bénard system with horizontal dissipation

W Huang - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
This article is concerned with the global stability problem for the two-dimensional magnetic
Bénard system. The focus here involves only horizontal dissipation, horizontal magnetic …

The Cauchy problem for the nonisentropic compressible MHD fluids: Optimal time‐decay rates

W Huang, S Fu - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
This paper is concerned with the time‐decay rates of the strong solutions of the three‐
dimensional nonisentropic compressible magnetohydrodynamic (MHD) system. First …

Convergence rate of solutions toward stationary solutions to a two-phase model with magnetic field in a half line

H Yin, L Zhu - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
In this paper, we study an asymptotic behavior of a solution to the outflow problem for a two-
phase model with magnetic field. Our idea mainly comes from [1] and [2] which investigate …

[HTML][HTML] Global well-posedness of strong solutions to a two-phase model with magnetic field for large oscillations in three dimensions

L Zhu, Y Chen - Journal of Differential Equations, 2019 - Elsevier
In this paper, we consider Cauchy problem for a two-phase model with magnetic field in
three dimensions. Under some smallness assumptions on the initial data but possibly large …

Well‐posedness and large‐time behavior for the two‐phase system with magnetic field in critical Besov spaces

L Zhu - ZAMM‐Journal of Applied Mathematics and Mechanics …, 2024 - Wiley Online Library
This paper is dedicated to the study of the two‐phase system with magnetic field in multi‐
dimensional spaces d≥ 2 d≥2. We investigate the local and global well‐posedness of …