
4月演講

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?

Colloquium, 臺灣大學數學系 陳俊全教授
Thursday, April 19, 16:10—17:00 數學系3174
Title: Exact and SemiExact Solutions for the LotkaVolterra 3Species Competition System Abstract: The phenomena in the LotkaVolterra threespecies competitiondiffusion system are rich and complicated. In the joint work with Hung, Mimura, Tohma and Ueyama, we combined the method of exact/semiexact solutions and the numerical approach to investigate the wave behaviors of this system. In this talk, we will explain our research and show that the exact/semiexact solutions can provide very interesting information for the study of new dynamical patterns as well as the study of competitormediated coexistence in situations where one exotic competing species invades a system that already contains two strongly competing species. Also, some further applications of exact/semiexact solutions will be discussed.

PDE Seminar, Myongji University, Prof. Se Eun Noh
Monday, April 23, 16:10—17:00 數學系3174
Title: Invariant Manifolds of the Steady Boltzmann Equation (2) Abstract: NCKUNCTS Reading Seminar on Kinetic Theory





