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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...
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...
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...
Global Existence and Nonexistence for a Strongly Coupled Parabolic System with Nonlinear Boundary Conditions
Strongly coupled Global existence Finite time blow-up Upper and lower solutions
2007/12/10
This paper deals with the strongly coupled parabolic system $u_{t}=v^{m}{\Delta}u,v_{t}=u^{n}{\Delta}v,\ (x,t)$ $\in {\Omega}\times (0,T)$ subject to nonlinear boundary conditions ${\partial}u/{\parti...
BLOW-UP SOLUTIONS FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS WITH MIXED BOUNDARY CONDITIONS
2007/8/7
The type of problem under consideration is$$\left\{\begin{array}{ll}u_{t}=\nabla(a(u)b(x)\nabla u)+g(x,q,t)f(u)&$in$ \ D\!\times\!(0,T),\\[1mm]\displaystyle u=0 \ $on$ \ {\it \Gamma}_1\!\times\!(0,T),...
专著信息
书名
Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary conditions
语种
英文
撰写或编译
作者
王术
第一作者单位
出版社
Journal of Differential Equations, 182(2002), 431-469
出版地
出版日期
2002年
月
日
标...
On the Spectral Properties of the Regular Sturm-Liouville Problem with the Lag Argument for Which its Boundary Conditions Depends on the Spectral Parameter
Lag argument Eigenvalue Eigenfunction Asymptotic expression
2010/3/1
In this paper, the asymptotic expression of the eigenvalues and eigenfunctions of the Sturm-Liouville equation with the lag argument y''(t) + l2 y(t) + M(t)y (t - D(t)) = 0 and the spectral parameter ...
PIRINCIPLES OF RADIATION FOR HELMHOLTZ EQUATION IN N-DIMENSIONAL LAYER WITH IMPEDENCE BOUNDARY CONDITIONS
HELMHOLTZ EQUATION BOUNDARY CONDITIONS N-DIMENSIONAL LAYER
2010/3/17
The principle of limit absorption and A. G. Sveshnikov's partial conditions of radition for Helmholts equation in multile dimensinal layer with impedance boundary conditions were studied. The behavior...