A5023933569- Stability and Controllability of Differential Equations
- Advanced Mathematical Modeling in Engineering
- Nonlinear Dynamics and Pattern Formation
- Advanced Mathematical Physics Problems
- Nonlinear Differential Equations Analysis
- Mathematical and Theoretical Epidemiology and Ecology Models
- Numerical methods in inverse problems
- Stochastic processes and financial applications
- Quantum chaos and dynamical systems
- Mathematical Dynamics and Fractals
- Model Reduction and Neural Networks
- Ferroptosis and cancer prognosis
- Occupational and environmental lung diseases
- Fluid Dynamics and Turbulent Flows
- stochastic dynamics and bifurcation
- Control and Stability of Dynamical Systems
- Navier-Stokes equation solutions
- Fractional Differential Equations Solutions
- Interstitial Lung Diseases and Idiopathic Pulmonary Fibrosis
- Arctic and Antarctic ice dynamics
Huazhong University of Science and Technology
2017-2024
Air Force Medical University
2022
Xijing Hospital
2022
Southwest University
2013-2017
Universidad de Sevilla
2016-2017
Ludong University
2013
Idiopathic pulmonary fibrosis (IPF) is a chronic progressive disease characterized by excessive proliferation of fibroblasts and accumulation extracellular matrix (ECM). Ferroptosis novel form cell death the lethal iron lipid peroxidation, which associated with many diseases. Our study addressed potential role played ferroptosis in progression fibrosis. We found that inducers injury, namely, bleomycin (BLM) lipopolysaccharide (LPS), induced lung epithelial cells. Both inhibitor...
In this paper, for non-autonomous RDS we study cocycle attractors with autonomous attraction universes, i.e. pullback attracting some random sets, instead of ones. We first compare and then ones establish existence criteria characterization. also the continuity sections indexed by symbols to find that upper semi-continuity is equivalent uniform compactness attractor, while lower an equi-attracting property under conditions. Finally, apply these theoretical results 2D Navier-Stokes equation...
Abstract Finite-dimensional attractors play an important role in finite-dimensional reduction of PDEs mathematical modelization and numerical simulations. For non-autonomous random dynamical systems, Cui Langa (J Differ Equ, 263:1225–1268, 2017) developed a uniform attractor as minimal compact set which provides certain description the forward dynamics underlying system by attraction probability. In this paper, we study conditions that ensure to have finite fractal dimension. Two main...
In this paper we study pullback attractors of multi-valued dynamical systems that are asymptotically convergent. It is shown that, under certain conditions, the components attractor a system can converge in time to those limiting system. Particular examples autonomous and periodic attractors. Different criteria theorems requiring different conditions established their applicability advantages highlighted.
In this paper, 2-dimensional (2D) magnetohydrodynamics (MHD) equations perturbed by multiplicative noises in both the velocity and magnetic field is studied. We first considered stability, or upper semicontinuity, for equivalent random dynamical systems (RDS), then applying abstract result we established existence semi-continuity of tempered attractors stochastic MHD equations. This shows that asymptotic behavior stable under perturbations.
For pullback attractors of asymptotically autonomous dynamical systems we study the convergences their components towards global limiting semigroups. We use some conditions uniform boundedness attractors, instead compactness used in literature. Both forward convergence and backward are studied.
In this paper, we study the squeezing property and finite dimensionality of cocycle attractors for non-autonomous dynamical systems (NRDS). We show that generalized random (RCSP) is a sufficient condition to prove determining modes result invariant sets, where upper bound dimension uniform all components set. also RCSP can imply pullback flattening in uniformly convex Banach space so could contribute establish asymptotic compactness system. The attractor 2D Navier-Stokes equation with...
Solutions and weakly compact uniform attractor for the nonautonomous long-short wave equations with translation forces were studied in a bounded domain. We first established existence uniqueness of solution to system by using Galerkin method then obtained absorbing set problem applying techniques constructing skew product flow extended phase space.
<p style='text-indent:20px;'>In this paper we study the continuity in initial data of a classical reaction-diffusion equation with arbitrary <inline-formula><tex-math id="M2">$ p&gt;2 $</tex-math></inline-formula> order nonlinearity and any space dimension id="M3">$ N \geqslant 1 $</tex-math></inline-formula>. It is proved that weak solutions can be id="M4">$ (L^2, L^\gamma\cap H_0^1) $</tex-math></inline-formula>-continuous for...
In this brief paper, we studied the residual continuity of global attractors Aλ in varying parameters λ∈Λ with Λ a bounded Borel set Rd. We first reviewed well-known result and then showed that is equivalent to dense continuity. Then, proved an analogue measure sense that, under certain conditions, set-valued map λ↦Aλ almost (in Lebesgue sense) uniformly continuous: for any small ε>0 there exists closed subset Cε⊂Λ m(Cε)>μ(Λ)−ε such ε↦Aε continuous on Cε. This, return, indicates...
This work is devoted to the forward asymptotic behavior of solutions a class non-autonomous strongly damped wave equations on $ {\mathbb{R}}^3 $. The main feature equation that damping effect allowed vanish as time goes infinity. makes standard locally uniformly boundedness force insufficient ensure ultimate solutions, and consequence usual uniform attractor theory does not apply here. In this paper, by introducing new integral condition in terms vanishing order term, we shall prove...