A5077853282- Navier-Stokes equation solutions
- Advanced Mathematical Physics Problems
- Stability and Controllability of Differential Equations
- Computational Fluid Dynamics and Aerodynamics
- Nonlinear Partial Differential Equations
- Trauma, Hemostasis, Coagulopathy, Resuscitation
- Black Holes and Theoretical Physics
- Gas Dynamics and Kinetic Theory
- Cosmology and Gravitation Theories
- Elasticity and Material Modeling
- Nonlinear Differential Equations Analysis
- Differential Equations and Boundary Problems
- Geometric Analysis and Curvature Flows
- Fluid Dynamics and Turbulent Flows
- Integrated Circuits and Semiconductor Failure Analysis
- Noncommutative and Quantum Gravity Theories
- Industrial Vision Systems and Defect Detection
- Image Processing Techniques and Applications
- Advanced Mathematical Modeling in Engineering
- Astrophysical Phenomena and Observations
Shanghai University
2009-2023
Jilin University
2005-2008
We consider a compressible Euler system with singular velocity alignment, known as the Euler-alignment system, describing flocking behaviors of large animal groups. establish local well-posedness theory for well global small initial data. also show asymptotic behavior, where solutions converge to constant steady state exponentially in time.
Thermodynamics of charged and slowly rotating black holes in 4D Gauss–Bonnet gravity has attracted a great deal attention due to its intrinsic complications rich phase structures. In this paper, we revisit the thermodynamics provide correct thermodynamic volume entropy. Thermodynamic geometries are powerful tool study microstructure holes. Based on Hessian matrix hole mass, introduce geometric methods give scalar curvature (Ruppeiner Weinhold). Furthermore, investigate Joule–Thomson...
Purpose The purpose of this paper is to present a novel method for minor fabric defects detection. Design/methodology/approach This proposes PETM-CNN algorithm. designed based on self-similar estimation algorithm and Convolutional Neural Network. PE (Patches Extractor) extracts patches that are possible be defective preprocess the image. Then TM-CNN (Triplet Metric CNN) predict labels final label can perform better than normal CNN. Findings superior other algorithms data set images with...
In this paper, the compressible Euler system with velocity alignment and damping is considered, where influence matrix of not positive definite. Sound speed used to reformulate into symmetric hyperbolic type. The global existence uniqueness smooth solution for small initial data provided.
In this paper, we consider the boundary layer stability of one-dimensional isentropic compressible Navier-Stokes equations with an inflow condition. We assume only one two characteristics to corresponding Euler is negative up some small time. prove existence layers, then instead using skew symmetric matrix, give a higher convergence rate approximate solution than previous results by standard energy method as long strength layers suitably small.
A parabolic system with small viscosity is considered in a two dimensional channel. With the help of discussions on suitable boundary conditions corresponding hyperbolic equations both sides channel, existence and stability multiple layers are proved by using matched asymptotic analysis energy estimates. The results therefore consequently justify zero limit when ε tends to 0.
In this paper, the compressible Euler system with velocity alignment and damping is considered, where influence matrix of not positive definite. Sound speed used to reformulate into symmetric hyperbolic type. The global existence uniqueness smooth solution for small initial data provided.
The Euler–Poisson equations can be used to describe the important physical phenomena in many areas, such as semiconductor modeling and plasma physics. In this paper, we show singularity formation mechanism for solutions of pressureless with time‐dependent damping attractive forces repulsive . We obtain blow up derivative velocity under appropriate assumptions.
In this paper, we study the limiting behavior of solutions to a 1D two-point boundary value problem for viscous conservation laws with genuinely-nonlinear fluxes as $\varepsilon$ goes zero. We here discuss different types non-characteristic layers occurring on both sides. first construct formally three-term approximate by using method matched asymptotic expansions. Next, energy prove that are nonlinearly stable and thus it is proved layer effects just localized near boundaries. Consequently,...
We consider a compressible Euler system with singular velocity alignment, known as the Euler-alignment system, describing flocking behaviors of large animal groups. establish local well-posedness theory for well global small initial data. also show asymptotic behavior, where solutions converge to constant steady state exponentially in time.
The Euler-Poisson equations can be used to describe the important physical phenomena in many areas, such as semiconductor modeling and plasma physics. In this paper, we show singularity formation mechanism for solutions of pressureless with time-dependent damping attractive forces R^n (n ≧1) repulsive R. We obtain blow up derivative velocity under appropriate assumptions.