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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：C1,1/3- very weak solutions to the two dimensional Monge–Ampère equation
二维 Monge–Ampère方程 C1,1/3极弱解
2023/11/29
For any θ<1/3 , we show that very weak solutions to the two-dimensional Monge–Ampère equation with regularity C1,θ are dense in the space of continuous functions. This result is shown by a convex inte...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global strong solutions to the two-dimensional radially symmetric compressible MHD
二维径向对称 可压缩 磁流体动力学 全局强解
2023/12/11
In this talk, I will present our recent result the 2D radially symmetric compressible MHD with density-dependent viscosity. Under the condition of beta>1, we prove the global existence of the radially...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On a two dimensional nonlocal shallow-water model
二维 非局部 浅水模型 三维欧拉系统
2023/4/14
In this talk, we first review some related progresses on one dimensional shallow water models. Then we introduce the derivation of a new nonlocal shallow water model from the 3D Euler system with free...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Splitting Numerical Schemes for Two-dimensional Maxwell-Debye Equations
二维 麦克斯韦-德拜方程组 拆分数值方案
2023/4/27
In this talk, we are interested in designing some efficient numerical methods for Maxwell-Debye equations in metamaterials with negative refractive index. Dimensional splitting method is used to reduc...
Controlling Two-Dimensional Tethered Vesicle Motion Using an Electric Field:Interplay of Electrophoresis and Electro-Osmosis
Electric field effects Electrophoresis Electroosmosis DNA Lipids Dynamic response
2016/5/24
We recently introduced methods to tether phospholipid vesicles or proteoliposomes onto a fluid-supported lipid bilayer using DNA hybridization (Yoshina-Ishii, C.; Miller, G. P.; Kraft, M. L.; Kool, E....
Sliced space-filling designs with different levels of two-dimensional uniformity
Asymmetric Balanced Computer experiment Sliced orthogonal array Sliced space-filling design
2016/1/25
We consider sliced computer experiments where priori knowledge suggests that factors may have different levels of importance, and so some factors need to be paid more attention than others. A new clas...
Two-dimensional,highly directive currents on large circular loops
Two-dimensional highly directive currents large circular loops
2015/10/16
Properties of idealized, two-dimensional current distributions on circular loops are investigated analytically via the solution of a constrained optimization problem.The directivity in the far field i...
Steady advection–diffusion around finite absorbers in two-dimensional potential flows
Steady advection–diffusion finite absorbers two-dimensional potential flows
2015/10/16
We consider perhaps the simplest non-trivial problem in advection–diffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus
Averaging Markov Process Hamiltonian Flow
2015/9/29
We study deterministic and stochastic perturbations of incompressible flows on
a two-dimensional torus. Even in the case of purely deterministic perturbations,
the long-time behavior of such &...
Averaging of incompressible ows on two-dimensional surfaces
two-dimensional surfaces incompressible
2015/9/29
We consider a process on a compact two-dimensional surface which consists
of the fast motion along the stream lines of an incompressible periodic vector eld
perturbed by white noise. It gives rise ...
Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus
Averaging Markov Process Hamiltonian Flow Gluing Conditions Diffusion on a Graph
2015/9/28
We study deterministic and stochastic perturbations of incompressible flows on a two-dimensional torus. Even in the case of purely deterministic perturbations, the long-time behavior of such ...
Averaging of incompressible flows on two-dimensional surfaces
Averaging Markov Process Incompressible Flow Gluing Conditions Diffusion on a Graph
2015/9/25
We consider a process on a compact two-dimensional surface which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise t...
SYNCHROSQUEEZED CURVELET TRANSFORM FOR TWO-DIMENSIONAL MODE DECOMPOSITION
curvelet transform synchrosqueezing banded wave-like components local wavevector phase space representation
2015/7/14
This paper introduces the synchrosqueezed curvelet transform as an optimal tool for two-dimensional mode decomposition of wavefronts or banded wave-like components. The synchrosqueezed curvelet transf...
On Dirichlet eigenvectors for neutral two-dimensional Markov chains
Hahn polynomials two-dimensional difference equation neutral Markov chain multitype population dynamics Dirichlet eigenvector Dirichlet eigenvalue quasi-stationary distribution Yaglom limit coexistence
2015/7/7
We consider a general class of discrete, two-dimensional Markov chains modeling the dynamics of a population with two types, without mutation or immigration, and neutral in the sense that type has no ...
A study of Bose-Einstein condensation in a two-dimensional trapped gas
Bose - Einstein condensation particles bose particle condensed state thermodynamics
2014/12/22
We examine the possibility of Bose-Einstein condensation (BEC) in two-dimensional (2D) system of interacting particles in a trap. We use a self-consistent mean-field theory of Bose particles interacti...