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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Space-time finite and boundary element methods for the wave equation
波动方程 时空有限元 边界元方法
2023/4/21
In this talk we will review some recent results on space-time finite and boundary element methods for the wave equation. As a first model problem we consider the inhomogeneous wave equation with zero ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Asymptotic stability of the bipolar Navier-Stokes-Poisson system with boundary
具有边界 双极 纳维-斯托克斯-泊松系统 渐近稳定性
2023/5/6
In this talk, the combined quasi-neutral and zero-viscosity limits of the two-fluid Navier-Stokes-Poisson systems (one for ion and another for electron) with boundary are rigorously proved by investig...
Singular Nonlinear Boundary Value Problem in The Theory of Dilatant Non-Newtonian Fluids
Dilatant non-Newtonian fluids similarity solution nonlinear boundary value problem
2011/10/13
A rigorous proof of existence and uniqueness of solutions to a singular nonlinear boundary value problem in the theory of Dilatant non-Newtonian fluids is given and a theoretical estimate formula for ...
Uniform convergence analysis of an upwind finite difference approximations of an homogenous singularly perturbed boundary value problem using grid equidistribution
singular perturbation adaptive grid rate of convergence error estimate
2011/10/13
We derive varepsilon-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here,...
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
nonlinear fourth-order boundary value problems positive solution existence multiplicity fixed point theorem on cone Leray-Schauder continuous principle
2011/10/12
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value pr...
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
nonlinear fourth-order boundary value problems positive solution existence multiplicity fixed point theorem on cone Leray-Schauder continuous principle
2011/10/12
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value pr...
Existence and Multiplicity of Symmetric\ Positive Solutions for Three-point\ Boundary Value Problem
Symmetric positive solution Multiplicity Three-point boundary value problem Fixed point theorem Cone
2011/10/11
This paper is concerned with the existence and multiplicity ofsymmetric positive solutions for the following second-orderthree-point boundary value problem:u''(t)+a(t)f(t,u(t))=0, 0
Multiple Positive Solutions for Nonlinear Third-Order Boundary Value Problems in Banach Spaces
Positive solutions boundary value problem Banach spaces fixed point index
2010/2/25
This paper deals with the positive solutions of nonlinear boundary value problems in Banach spaces. By using fixed point index theory, some sufficient conditions for the existence of at least one or t...
NORMAL BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS OF HIGHER ORDER
BOUNDARY VALUE HIGHER ORDER DIFFERENTIAL EQUATIONS
2010/3/17
In this work the arbitrary order differential operator expression of the form \imath (u) = \frac{\partial u (t)}{\partial tn}+Au(t), where A is a bounded normal operator in the Hilbert Space H is cons...