A5052948628- Nonlinear Partial Differential Equations
- Advanced Mathematical Modeling in Engineering
- Stability and Controllability of Differential Equations
- Advanced Mathematical Physics Problems
- Numerical methods in inverse problems
- Differential Equations and Numerical Methods
- Nonlinear Differential Equations Analysis
- Hepatitis C virus research
- Solidification and crystal growth phenomena
- Liver Disease Diagnosis and Treatment
- Mathematical and Theoretical Epidemiology and Ecology Models
- Fluid Dynamics and Thin Films
- Neural Networks Stability and Synchronization
- COVID-19 epidemiological studies
- Evolution and Genetic Dynamics
- Age of Information Optimization
- Distributed Control Multi-Agent Systems
- Spectral Theory in Mathematical Physics
- Advanced Memory and Neural Computing
- Liver Disease and Transplantation
- Quantum chaos and dynamical systems
- Chaos control and synchronization
- advanced mathematical theories
- Mathematical Dynamics and Fractals
- Navier-Stokes equation solutions
Fuzhou University
2025
Chongqing Three Gorges University
2012-2022
Jilin Medical University
2011
Jilin University
2010
Hepatitis C virus (HCV) is a bloodborne that causes both acute and chronic hepatitis with the severity from mild illness to liver cirrhosis cancer. As one of major infectious diseases in China, monthly surveillance data Fujian Provincial Center for Disease Control Prevention shows increasing tendency 2004 2011, stable 2012 2016, declining 2017 2022. The 2004-2022 HCV infection Province affected by nation-wide main control measures Chinese government, because no are modified 2020 2022 during...
We discuss the $\omega$-limit set for Cauchy problem of porous medium equation with initial data in some weighted spaces. Exactly, we show that there exists relationship between rescaled and spatially version solutions. also give applications such a relationship.
In this paper, we prove that the semigroup $S(t)$ generated by Cauchy problem of evolution p-Laplacian equation $\frac{\partial u}{\partial t}-\operatorname{div}(|\nabla u|^{p-2}\nabla u)=0$ ( $p>2$ ) is continuous form a weighted $L^{\infty}$ space to $C_{0}(\mathbb{R}^{N})$ . Then use property reveal fact generates chaotic dynamical system on some compact subsets For purpose, need establish propagation estimates and space-time decay for solutions first.
In this paper, we investigate the grow-up rate of solutions for heat equation with a sublinear source. We find that if initial value grows fast enough, then it plays major role in growing up solutions, while slowly, source prevails. As direct application these results, show effect is negligible asymptotic behavior as enough. MSC:35K55, 35B40.
In this paper, we investigate the complicated asymptotic behavior of solutions to Cauchy problem a porous medium equation with nonlinear sources when initial value belongs weighted space. AMS Subject Classification:35K55, 35B40.
We investigate the asymptotic behavior of solutions for heat equation in weighted space . Exactly, we find that unbounded function with 0 < σ N can provide a setting where complexity occurs equation.
In this paper, we investigate how the initial value belonging to spaces $W_{\sigma}(\mathbb{R}^{N})$ ( $0<\sigma<N$ ) affects complicated asymptotic behavior of solutions for Cauchy problem evolution p-Laplacian equation with absorption. fact, reveal fact that $\sigma=\frac{p}{q-p+1}$ is critical exponent solutions.
This paper considers the Lagrange stability of delayed quaternion-valued memristive neural networks(QVMNNs). By virtue direct approach, Lyapunov theory and inequality techniques, some succinct criteria are proposed to guarantee QVMNNs be global exponential stable(GES) in sense. Meanwhile, two numerical examples presented elucidate validity results.
We investigate the blow-up phenomena for nonnegative solutions of porous medium equation with Neumann boundary conditions. find that absorption and nonlinear flux on have some competitions in phenomena.