A5101690891- Navier-Stokes equation solutions
- Advanced Mathematical Physics Problems
- Geometric Analysis and Curvature Flows
- Stability and Controllability of Differential Equations
- Fluid Dynamics and Turbulent Flows
- Crystallization and Solubility Studies
- X-ray Diffraction in Crystallography
- Advanced Differential Equations and Dynamical Systems
- Computational Fluid Dynamics and Aerodynamics
- Lattice Boltzmann Simulation Studies
- Nonlinear Partial Differential Equations
- Crystallography and molecular interactions
- advanced mathematical theories
- Nonlinear Dynamics and Pattern Formation
- Food Safety and Hygiene
- Optimism, Hope, and Well-being
- Stochastic processes and financial applications
- Drilling and Well Engineering
- Geometry and complex manifolds
- Mathematical Biology Tumor Growth
- Pressure Ulcer Prevention and Management
- Healthcare professionals’ stress and burnout
- Patient Safety and Medication Errors
- COVID-19 and Mental Health
- Reservoir Engineering and Simulation Methods
Wenzhou Medical University
2024
Central South University
2022-2024
Hunan Normal University
2012-2023
Peking University
2021
First Hospital of Xi'an
2018
Wuhan University
2018
Institute of Applied Physics and Computational Mathematics
2015-2016
Sun Yat-sen University
2011-2015
We are concerned with the Cauchy problem of two-dimensional (2D) nonhomogeneous incompressible nematic liquid crystal flows on whole space vacuum as far field density. It is proved that 2D admits a unique global strong solution provided initial data density and gradient orientation decay not too slow at infinity, basic energy small. In particular, may contain states even have compact support. Moreover, large time behavior also investigated.
We establish some regularizing rate estimates for mild solutions of the magneto-hydrodynamic system (MHD). These estimations ensure that there exist positive constants $K_1$ and $K_2$ such any $\beta\in\mathbb{Z}^{n}_{+}$ $t\in (0,T^\ast)$, where $T^\ast$ is life-span solution, we have $\| (\partial_{x}^{\beta}u(t),\partial_{x}^{\beta}b(t))\|_{q}\leq K_{1}(K_{2}|\beta|)^{|\beta|}t^{-\frac{|\beta|}{2} -\frac{n}{2}(\frac{1}{n}-\frac{1}{q})}$. Spatial analyticity solution temporal decay global...
In this paper, we establish global well-posedness and asymptotic stability of mild solutions for the Cauchy problem fractional drift-diffusion system with small initial data in critical Besov spaces. The regularizing-decay rate estimates are also proved, which imply that analytic space variables.
We consider the temporal decay estimates for weak solutions to two‐dimensional nematic liquid crystal flows, and we show that energy norm of a global solution has non‐uniform urn:x-wiley:0025584X:media:mana201400313:mana201400313-math-0001 under suitable conditions on initial data. also exact rate (uniform decay) solution.
We use a general energy method recently developed by [Guo Y, Wang Y. Decay of dissipative equations and negative sobolev spaces. Commun. Partial Differ. Equ. 2012;37:2165–2208.] to prove the global existence temporal decay rates solutions three-dimensional compressible nematic liquid crystal flow in whole space. In particular, Sobolev norms are shown be preserved along time evolution, then optimal higher order spatial derivatives obtained estimates interpolation inequalities.