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 …
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 …
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 …
Global existence and time decay rate of classical solutions to a hybrid Vlasov-Fokker-Planck-MHD equations
P Jiang, J He - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
In this paper, we prove the existence of global classical solutions to a kinetic-fluid system
when initial data is a small perturbation of some given equilibrium state in R 3. The system …
when initial data is a small perturbation of some given equilibrium state in R 3. The system …
On the Interactions of Flocking Particles with the Stokes Flow in an Infinite Channel
We present the global existence of weak solutions to the Cucker–Smale–Stokes system in
an infinitely long cylindrical domain with the specular boundary condition. The proposed …
an infinitely long cylindrical domain with the specular boundary condition. The proposed …
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 …
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 …