|PDE Seminar, Myongji University 盧世垠教授|
Monday, March 19, 11:15—15:30 數學系3F會議室
Title: Invariant Manifolds of the Steady Boltzmann Equation (1)
|Colloquium, 中興大學應用數學系 李渭天教授|
Thursday, March 22, 16:10—17:00 數學系3174
Title: The Poset Ramsey Number
|Colloquium, 屏東大學應用數學系 吳進通教授|
Wednesday, March 28, 16:10—17:00 數學系3174
Title: On the CR Reilly Formula
Abstract: In this talk, we derive the CR Reilly’s formula and its applications to studying of the first eigenvalue estimate for CR Dirichlet eigenvalue problem, embedded p-minimal hypersurfaces and CR Minkowski’s inequality. In particular, we obtain the first Dirichlet eigenvalue estimate in a compact pseudohermitian manifold with boundary, the first eigenvalue estimate of the tangential sublaplacian on closed oriented embedded p-minimal hypersurfaces in a closed pseudohermitian manifold of vanishing torsion, and the CR Minkowski’s inequality for convex body with boundary immersed in a pseudohermitian manifold with some curvature conditions. This is a joint work with Shu-Cheng Chang, Chih-Wei Chen and Yen-Chang Huang.
|Colloquium, 中正大學數學系 卓建宏教授|
Thursday, April 12, 16:10—17:00 數學系3174
Title: A Numerical Algorithm for Blow-up Problem
Abstract: In many evolution equations, solutions may become unbounded in finite time. This phenomenon is often called blow-up and the finite time is called the blow-up time. To numerically reproduce the finite-time blow-up phenomenon, schemes with adaptive time meshes were considered to be necessary. Since the numerical blow-up time is defined by an infinite sum, which implies that one needs to compute infinite times to achieve blow-up, this method cannot be carried out in real computation. As a consequence, we propose an algorithm accomplished by schemes with uniform time meshes for the computation of blow-up solutions. In this talk, we are concerned with a question: to what extent can this algorithm be applied to compute the blow-up solutions and reproduce the blow-up behavior?