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Existence of weak solutions to an evolutionary model for magnetoelasticity
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
dimensional spaces d≥ 2 d≥2. We investigate the local and global well‐posedness of …