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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions and quadratic differentials
稳定性条件 二次微分 三角分类
2023/5/6
Stability conditions on triangulated categories are introduced by Bridgeland. For 3-Calabi-Yau triangulated categories from quivers with potentials, the space of stability conditions on this triangula...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions for a free boundary problem of 3-D compressible Euler equations coupled with a nonlinear Poisson equation
三维 可压缩欧拉方程 耦合 非线性泊松方程 自由边界问题 稳定性条件
2023/4/18
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：First-order methods for convex optimization and monotone inclusions under local Lipschitz conditions
局部利普希茨条件 凸优化 单调夹杂物 一阶方法
2023/5/6
In this talk, we first consider convex optimization whose smooth components have a locally Lipschitz continuous gradient and propose a first-order method for finding an epsilon-KKT solution. We then c...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Eigenvalues of boundary value problems with transmission conditions and eigenparameter-dependent boundary conditions
传输条件 本征参数 相关边界条件 边值问题 本征值
2023/5/16
In this talk, we mainly show some eigenvalue properties of second order Sturm-Liouville problems and third-order boundary value problems with both transmission conditions and eigenparameter-dependent ...
Some sufficient conditions for infinite collisions of simple random walks on a wedge comb
wedge comb simple random walk infinite collision property local time
2016/1/19
In this paper, we give some sufficient conditions for the infinite collisions of independent simple random walks on a wedge comb with profile {f(n),n ∈ Z}.One interesting result is that two independen...
The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
almost-convexity geodesic-combability
2015/8/26
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
TRAVELING WAVES IN 2D REACTIVE BOUSSINESQ SYSTEMS WITH NO-SLIP BOUNDARY CONDITIONS
TRAVELING WAVES 2D REACTIVE BOUSSINESQ SYSTEMS NO-SLIP BOUNDARY CONDITIONS
2015/7/14
We consider systems of reactive Boussinesq equations in two dimensional strips that are not aligned with gravity s direction. We prove that for any width of such strips and for arbitrary Rayleigh and ...
Solution of the Inverse Problem of Linear Optimal Control with Positiveness Conditions and Relation to Sensitivity
Linear Optimal Control Positiveness Conditions
2015/6/23
The property that the feedback control minimizes some performance index (1.3)
with Q ≥ 0 is of considerable interest because of its connection with the ability
of the control to reduce the sensitivi...
Exact Boundary Conditions for the Initial Value Problem of Convex Conservation Laws
exact boundary conditions artificial boundary conditions convex conservation laws Burgers’ (inviscid) equation
2015/5/4
The initial value problem of convex conservation laws, which includes the famous Burgers’ (inviscid) equation, plays an important rule not only in the-oretical analysis for conservation laws, but also...
Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice
Statistical Mechanics Random Matrices Orthogonal Polynomials Asymptotics Riemann-Hilbert Problems
2015/1/19
In this dissertation the partition function, $Z_n$, for the six-vertex model with domain wall boundary conditions is solved in the thermodynamic limit in various regions of the phase diagram. In the f...
Convergence of Semi-discrete Stationary Wigner Equation with Inflow Boundary Conditions
Stationary Wigner equation inflow boundary conditions well-posedness
2014/10/10
Making use of the Whittaker-Shannon interp olation formula w ith shifted sampling p oints, we prop ose in this pap e r a well-p osed semi-discretization of the stationary Wigner equation with inflow B...
Stationary Wigner Equation with In ow Boundary Conditions: Will a Symmetric Potential Yield a Symmetric Solution
Wigner equation In ow boundary conditions Well-posedness.
2014/9/26
Based on the well-posedness of the stationary Wigner equation with in
ow bound-ary conditions given in [1], we prove without any additional prerequisite conditions
that the solution of the Wigner eq...
TRA VELING W A VES IN 2D REACTIVE BOUSSINESQ SYSTEMS WITH NO-SLIP BOUNDAR Y CONDITIONS
TRAVELING WAVES IN 2D REACTIVE BOUSSINESQ SYSTEMS NO-SLIP BOUNDARY CONDITIONS
2014/4/4
We consider systems of reactive Boussinesq equations in two dimensional strips that are not aligned with gravity's direction. We prove that for any width of such strips and for arbitrary Rayleigh and ...
On spatial selectivity and prediction across conditions with fMRI
Machine learning fMRI feature selection regions
2012/11/22
Researchers in functional neuroimaging mostly use activation coordinates to formulate their hypotheses. Instead, we propose to use the full statistical images to define regions of interest (ROIs). Thi...
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions
Level-set method Topolygy preserved
2012/8/10
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions。