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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 ...
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 ...
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...
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。
Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
Damped wave equations boundary delay global solutions exponential stability Kelvin-Voigt damping dynamic boundary conditions
2012/6/21
In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions related to the Kelvin-Voigt damping and a delay term acting on the boundary. If the weight of the delay ter...
Parabolic equations with dynamical boundary conditions and source terms on interfaces
parabolic equation quasilinear parabolic problem mixed boundary condition dynamical boundary condition maximal parabolic Lp-regularity
2012/6/19
We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the conormal derivative. Only minimal regul...
Extensions of diffusion processes on intervals and Feller's boundary conditions
Extensions of diffusion processes intervals Feller's boundary conditions Probability
2012/4/17
For a minimal diffusion process on $ (a,b) $, any possible extension of it to a standard process on $ [a,b] $ is characterized by the characteristic measures of excursions away from the boundary point...
Analysis of the Brinkman-Forchheimer equations with slip boundary conditions
Brinkman-Forchheimer equations Slip boundary conditions Weak solutions Continuous dependence
2012/2/29
In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization com...
The global strong solution for Navier-Stokes equations in 3D thin domains with Navier-friction boundary conditions
3D Navier-Stokes equations thin domains Navier-friction boundary conditions attractors
2011/10/19
In this paper, we consider Navier-Stokes equations in thin 3D thin domain with more general Navier-friction boundary conditions (2.4) (compare with boundary condition in [1]). We prove the global exis...
On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of the Third Order
boundary-value problem operator-differential equation Hilbert space self-adjoined operator regular solvability
2011/9/20
Abstract: In this paper the boundary value problem for one class of the operator-differential equations of the third order on a semi-axis, where one of the boundary conditions is perturbed by some lin...
Long time averaged reflection force and homogenization of oscillating Neumann boundary conditions
Long time averaged reflection force homogenization of oscillating Neumann boundary conditions
2011/1/21
This paper concerns with two issues. The first issue is the existence and the uniqueness of the ergodic type number d which appears in the oblique boundary condition. The second issue is the applicati...
On a finite element approximation of the Stokes problem under leak or slip boundary conditions of friction type
Finite element method Stokes equations Boundary conditions of friction type
2011/2/25
A nite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip or leak boundary con-dition of friction type, is considered. We propose an approxim...