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主講人:李志光 教授 (College of William and Mary)

  目: An invitation to preserver problems

   期:107529日(星期二)

  間:下午14:10

  點:科學館S433

 摘要Abstract:

Preserver problems concern the characterization of

transformations on matrices or operators leaving

invariant some functions, subsets, or relations. We will

give an introduction to the subject and mention some

recent results and research problems.

 

歡 迎 參 加

主講人:洪盟凱 教授 (中央大學數學系)

  目:Global existence of weak solutions to the initial-boundary value problem of Euler-Poisson equations with self-gravitation force in spherically symmetric space-times

  期:107522日(星期二)

  間:下午16:10

  點:科學館S433

 摘要Abstract:

In this talk, we consider the Euler-Poisson equations with self-gravitation force in spherically symmetric space-times , which is governed by a mixed type 3

by 3 system of partial differential equations.

The initial-boundary value problem is studied for the motion of gasous stars in astrophysics. In this talk, the mixed type 3 by 3 Euler-Poisson system is re-formulated as a 3 by 3 hyperbolic resonant system in transom flows. The global existence of weak

solutions is established by a generalized version of Glimm scheme.

Numerical simulations are also provided. This is the joint

work with Shih-Wei Chou (NCU) and Chia-Chieh Chu (NTHU).

歡 迎 參 加

主講人:朱家杰 教授 (清華大學數學系)

  目:Volumetric Variational Problems for Partial Differential  Equations on Manifold

  期:107515日(星期二)

  間:下午15:10

  點:科學館S433

摘要Abstract:

Partial differential equations on manifolds are important for many areas, such as materials science, fluid dynamics and biology. The computation of such problems can be costly and difficult when the manifolds have complicated structures. Traditional approaches require discretization on manifolds and projecting derivatives onto the tangent spaces of the manifolds. We introduce volumetric variational problems for solving such PDE’s. We start with variational problems on manifolds and change them into extended problems in Eulerian formulation. The extended PDE’s can be solved by many sophisticated numerical methods, such as finite element or finite difference methods. Based on special properties of the solutions, we design a special treatment for boundary conditions.

By Fourierand Laplace transformation, we analysis the method and show that it is stable for the elliptic and parabolictype of equations. However, it is not numerically stable for hyperbolic type equation. The instability can be fixed by modifying equations or reinitialization. We further study some nonconvex optimization problems: obstacle problems and TV-denoise problems on surfaces. Some numerical experiments are presented in the talk. This isa joint work with Richard Tsai.

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講  題:Inverse problems for the boundary value problem with the interior nodal subsets

演講者:連科雅 (淡江大學數學系博士候選人)

時間:2018年5月22日(星期二) 15:00

地點:科學館S433室

摘要Abstract

Inverse nodal problems for Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter were studied .We will show that some uniqueness theorems on the potential function hold by the Weyl function,respectively.

This is a joint work Yu Ping Wang, and Chung-Tsun Shieh .

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主講人:洪斌哲 教授 (東吳大學數學系)

  目:On anticyclotomic exceptional zero conjecture for elliptic curves

  期:107年5月8日(星期二)

  間:下午15:10

  點:科學館S433

摘要Abstract:

We will talk about history and background about the exceptional zero conjecture for elliptic curves.Our result extends the result of Bertolini-Darmon-Iovita-Spiess to supersingular case.

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大一新生包 發佈時間: 2018-08-21, 週二
     姓名 分機   研究室 信箱 系主任 楊定揮 #3136 S407 thyang@mail.tku.edu.tw 數學組導師 陳功宇 #3142...
107/5/29 李志光 教授 (College of William and Mary)-An invitation to preserver problems 發佈時間: 2018-05-14, 週一
主講人:李志光 教授 (College of William and Mary) 題  目: An invitation to preserver problems  日 ...
107/5/22 洪盟凱 教授 (中央大學數學系)-Global existence of weak solutions to the initial-boundary value problem of Euler-Poisson equations with self-gravitation force in spherically symmetric space-times 發佈時間: 2018-05-14, 週一
主講人:洪盟凱 教授 (中央大學數學系) 題  目:Global existence of weak solutions to the initial-boundary value problem of...
107/5/22 連科雅 (淡江大學數學系博士候選人)-Inverse problems for the boundary value problem with the interior nodal subsets 發佈時間: 2018-05-14, 週一
講  題:Inverse problems for the boundary value problem with the interior nodal subsets 演講者:連科雅...
107/5/15 朱家杰 教授 (清華大學數學系)-Volumetric Variational Problems for Partial Differential Equations on Manifold 發佈時間: 2018-04-30, 週一
主講人:朱家杰 教授 (清華大學數學系) 題  目:Volumetric Variational Problems for Partial Differential  Equations on...
107/5/8 洪斌哲 教授 (東吳大學數學系)-On anticyclotomic exceptional zero conjecture for elliptic curves 發佈時間: 2018-04-30, 週一
主講人:洪斌哲 教授 (東吳大學數學系) 題  目:On anticyclotomic exceptional zero conjecture for elliptic curves 日 ...

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