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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 ...
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...
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...
Lower boundary hyperplanes of the canonical left cells in the affine Weyl group Wa（An-1）
affine Weyl groups left cells hyperplanes
2011/9/28
Let F be any canonical left cell of the affine Weyl group Wa of type A. We describe the lower boundary hyperplanes for F, which answer two questions of Humphreys.
Poisson-Furstenberg boundary and growth of groups
Poisson-Furstenberg boundary Group Theory
2011/9/22
Abstract: We study the Poisson-Furstenberg boundary of random walks on permutational wreath products. We give a sufficient condition for a group to admit a symmetric measure of finite first moment wit...
A faithful linear-categorical action of the mapping class group of a surface with boundary
faithful linear-categorical action mapping class group surface with boundary
2011/1/18
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. The paper is self-contained, and in particular does not assume any ...
Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition
Inviscid Large deviation principle the 2D Navier Stokes equations
2010/11/23
Using a weak convergence approach, we prove a LPD for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square root ...
Two dimensional invisibility cloaking for Helmholtz equation and non-local boundary conditions
Two dimensional Helmholtz equation non-local boundary conditions
2010/11/15
Transformation optics constructions have allowed the design of cloaking devices that steer electromagnetic, acoustic and quantum waves around a region without penetrating it, so that this region is hi...
$L^\infty(L^\infty)$-boundedness of DG($p$)-solutions for nonlinear conservation laws with boundary conditions
nonlinear conservation laws boundary conditions
2010/11/18
We prove the $L^\infty(L^\infty)$-boundedness of a higher-order shock-capturing streamline-diffusion DG-method based on polynomials of degree $p\geq 0$ for general scalar conservation laws. The estim...
Obstacle problem for SPDE with nonlinear Neumann boundary condition via reflected generalized backward doubly SDEs
SPDE nonlinear Neumann boundary condition
2010/11/19
This paper is intended to give a representation for stochastic viscosity solution of semi-linear reflected stochastic partial differential equations with nonlinear Neumann boundary condition. We use i...
Area minimizers and boundary rigidity of almost hyperbolic metrics
Area minimizers boundary rigidity hyperbolic metrics
2010/11/12
This paper is a continuation of our paper about boundary rigidity and filling minimality of metrics close to flat ones. We show that compact regions close to a hyperbolic one are boundary distance rig...
Holomorphic quantization of linear field theory in the general boundary formulation
Holomorphic quantization of linear field theory general boundary formulation
2010/12/16
We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the Kähle...
Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers
Boundary quotients Toeplitz algebra affine semigroup natural numbers
2010/12/8
We study the Toeplitz algebra T (N ⋊ N×) and three quotients of this algebra: the C-algebra QN recntly introduced by Cuntz, and two new ones, which we call the additive and multiplicative bound...
On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions
the theory of steady Navier-Stokes equations nonhomogeneous boundary conditions
2010/12/9
We study the nonhomogeneous boundary value problem for Navier–Stokes equations of steady motion of a viscous incompressible fluid in a two–dimensional bounded multiply connected domain = 1 \ 2,2 X...
A Bernoulli problem with non constant gradient boundary constraint
Bernoulli problem non constant gradient boundary constraint
2010/12/1
We present in this paper a result about existence and convexity of solutions to a free oundary problem of Bernoulli type, with non constant gradient boundary constraint depending on the outer unit nor...