
2週內演講

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 Abstract: 摘要PDF

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 pminimal 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 pminimal 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 ShuCheng Chang, ChihWei Chen and YenChang 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 Blowup Problem Abstract: In many evolution equations, solutions may become unbounded in finite time. This phenomenon is often called blowup and the finite time is called the blowup time. To numerically reproduce the finitetime blowup phenomenon, schemes with adaptive time meshes were considered to be necessary. Since the numerical blowup time is defined by an infinite sum, which implies that one needs to compute infinite times to achieve blowup, 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 blowup solutions. In this talk, we are concerned with a question: to what extent can this algorithm be applied to compute the blowup solutions and reproduce the blowup behavior?





