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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Numerical PDEs for Fluid-Structure Interaction (FSI) Problems
流固耦合 数值 偏微分方程
2023/5/8
The interaction of a flexible structure with a flowing fluid in which it is submersed or by which it is surrounded gives rise to a rich variety of physical phenomena with applications in many fields o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A structure-preserving parametric finite element method (PFEM) for geometric PDEs and applications
几何偏微分方程 结构保持 参数有限元
2023/4/17
In this talk, I begin with a review of different geometric flows (PDEs) including mean curvature (curve shortening) flow,surface diffusion flow, Willmore flow, etc., which arise from materials science...
Geometrical structure of Laplacian eigenfunctions
Laplace operator eigenfunctions eigenvalues localization
2012/6/25
We review the properties of eigenvalues and eigenfunctions of the Laplace operator in bounded Euclidean domains with Dirichlet, Neumann or Robin boundary condition. We keep the presentation at a level...
A New Graded Algebra Structure on Differential Polynomials: Level Grading and its Application to the Classification of Scalar Evolution Equations in 1+1 Dimension
New Graded Algebra Structure Differential Polynomials Level Grading Classification of Scalar Evolution Equations 1+1 Dimension
2012/4/26
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
Asymptotic behavior of a structure made by a plate and a straight rod
nonlinear elasticity junctions straight rod plate
2011/9/21
Abstract: This paper is devoted to describe the asymptotic behavior of a structure made by a thin plate and a thin rod in the framework of nonlinear elasticity. We scale the applied forces in such a w...
Assessing the consistency of community structure in complex networks
complex networks community structure consistency Assessing
2011/7/6
In recent years, community structure has emerged as a key component of complex network analysis. As more data has been collected, researchers have begun investigating changing community structure acro...
On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
The Camassa-Holmequation The Degasperis-Procesi equa-tion The Hunter-Saxton equation
2010/12/6
Considered herein are the generalized Camassa-Holm and Degasperis-Procesi equations in the spatially periodic setting. The pre-cise blow-up scenarios of strong solutions are derived for both of equa-t...