- Mathematical and Theoretical Epidemiology and Ecology Models
- Advanced Mathematical Modeling in Engineering
- Differential Equations and Numerical Methods
- Advanced Numerical Methods in Computational Mathematics
- Numerical methods for differential equations
- Fluid Dynamics and Turbulent Flows
- Computational Fluid Dynamics and Aerodynamics
- Fluid Dynamics Simulations and Interactions
- Lattice Boltzmann Simulation Studies
- Vibration and Dynamic Analysis
- Nutritional Studies and Diet
- Laser Material Processing Techniques
- Evolution and Genetic Dynamics
- Gas Dynamics and Kinetic Theory
- Nonlinear Partial Differential Equations
- 3D Shape Modeling and Analysis
- Advanced Numerical Analysis Techniques
- Pickering emulsions and particle stabilization
- Plant Water Relations and Carbon Dynamics
- Robotics and Sensor-Based Localization
- Stochastic processes and statistical mechanics
- Evolutionary Game Theory and Cooperation
- Fluid Dynamics and Vibration Analysis
- Mathematical Biology Tumor Growth
- nanoparticles nucleation surface interactions
Hebei University
2025
University of North Texas
2023-2024
University of California, San Diego
2021-2023
Hunan University
2022-2023
Harbin Institute of Technology
2016-2023
Hubei Provincial Center for Disease Control and Prevention
2022-2023
Chengdu University of Technology
2023
Xuzhou Medical College
2023
Affiliated Hospital of Southwest Medical University
2022
Wuhan Center for Disease Control and Prevention
2022
National-level traditional villages in Liandu District and Qingyuan County, Lishui City, the southwestern mountainous area of Zhejiang Province serve as research objects our exploration external representation deep spatial structure changes village forms from a synchronic diachronic perspective. We use morphological indices, space syntax, city image surveys, other analysis methods to reveal formation evolution these forms. find that: (1) Traditional boundaries southwest are mainly clusters...
Understanding of the effect coupling interaction is at heart nonlinear science since some nonequilibrium systems are composed different layers or units. In this paper, we demonstrate various spatio-temporal patterns in a nonlinearly coupled two-layer Turing system with nonidentical reaction kinetics. Both type mode and form play an important role pattern formation selection. Two kinds interactions, namely supercritical-subcritical supercritical-supercritical interaction, have been...
A new monotonocity of principal eigenvalues in time-periodic patch environments is established. As an application, a model for two competing species spatio-temporally varying investigated. When are identical except their relaxation time, the with shorter time will always drive other one to extinction. diffusion rates, our results suggest that faster diffusing could be favored some intermediate range while slower both short and long time. In general, slow rate tend help gain advantage competition.
A numerical model is developed to investigate the hydrodynamic characteristics of a moving submarine induced by internal solitary waves (ISWs) in continuously stratified fluids. new scheme for generation ISWs with current proposed, which forward speed equivalent current. The superposition velocity field obtained from extended Korteweg-de Vires (eKdV) theory and taken as initial wave tank. Convergence analysis conducted, while present validated comparing it experimental data. Then,...
It is always very difficult to efficiently and accurately solve a system of differential equations coupled with moving free boundaries, while such has been widely applied describe many physical/biological phenomena as the dynamics spreading population. The main purpose this paper introduce efficient numerical methods within general framework for solving systems boundaries. major challenge track especially high spatial dimensions. To overcome this, front tracking implicit solver first...
Non-isometric surface registration, aiming to align two surfaces with different sizes and details, has been widely used in computer animation industry. Various existing registration approaches have proposed for accurate template fitting; nevertheless, challenges remain. One is how avoid the mesh distortion fold over of during transformation. The other reduce amount landmarks that be specified manually. To tackle these simultaneously, we propose a consistent as-similar-as-possible (CASAP)...
The systems of reaction-diffusion equations coupled with moving boundaries defined by Stefan condition have been widely used to describe the dynamics spreading population and competition two species. To solve these numerically, new numerical challenges arise from species due interaction their free boundaries. On one hand, extremely small time steps are usually needed stiffness system. other it is always difficult efficiently accurately handle especially overcome difficulties, we introduce a...
We propose a certain functional which is associated with principal eigenfunctions of the elliptic operator $ L_{A} = -\mathrm{div}(a(x)\nabla )+A\mathbf{V}\cdot\nabla +c(x) and its adjoint for general incompressible flow \mathbf{V} $. The can be applied to establish monotonicity eigenvalue \lambda_1(A) $, as function advection amplitude A subject Dirichlet, Robin Neumann boundary conditions. This gives new proof conjecture raised by Berestycki, Hamel Nadirashvili [5]. also used prove...
Non-isometric surface registration is an important task in computer graphics and vision. It, however, remains challenging to deal with noise from scanned data distortion transformation. In this paper, we propose a Huber- $$L_1$$ -based non-isometric solve it by the alternating direction method of multipliers. With -regularized model constrained on transformation variation position difference, our robust produces piecewise smooth results while still preserving fine details target. The...
This paper investigates the influence of ship-loading condition on slamming during water entry. Three typical sections S-175 container ship, namely bow, parallel middle body and stern, under three different loading conditions are studied. Full-sized models established simulated by commercial software LS-DYNA based explicit finite element method (FEM) using arbitrary Lagrangian–Eulerian (ALE) algorithm. At first, validation is carried out simulating Wave Induced Loads Ships Joint Industry...