Differential Equations and Stochastic Analysis

### Program Committee:

Jung-Chao Ban (NCCU), Chi-Hin Chan (NCTU), Lung-Chi Chen (NCCU), Chun-Hsiung Hsia (NTU, committee chair),
Chun-Yen Shen (NTU), Kung-Chien Wu (NCKU).

Description of program:

The study of differential equations is one of the most traditional fields of mathematics in Taiwan. The NCTS Topical Program Differential Equations and Stochastic Analysis also aims to incorporate interdisciplinary research as one of its priorities, and its four main directions are: partial differential equations, dynamical systems, stochastic analysis and harmonic analysis. Partial differential equations are one of the most widely adopted mathematical tools in modern sciences. Members of this NCTS Topical Program group are interested in both the developments of the mathematical theory and scientific applications. This includes, for example, synchronization problem, kinetic theory, elliptic partial differential equations, fluid dynamics, inverse problem and reaction-diffusion equations. Interests of the research groups in dynamical systems include bifurcation theory and chaotic systems, ergodic theory, fractal geometry, arithmetic dynamical systems, and complex dynamical systems. The research interests of Harmonic analysis group include two weights problems for singular integrals, additive combinatorics and their connections to geometric measure theory. Probability theory also plays an important role in many other areas of mathematics, such as partial differential equations, analysis, and combinatorics. It provides the theoretical basis for statistics. In stochastic analysis at the NCTS, focus is placed on statistical mechanics, mathematical biology, finance, theoretical computer science, branching processes and SPDE.

Affiliated members:

Differential equations:

Chi-Hin Chan (NCTU), Chiun-Chuan Chen (NTU), I-Kun Chen (NTU), Zhi-You Chen (NCUE),
Ching-Hsiao Cheng (NCU), Jann-Long Chern (NTNU), Jong-Shenq Guo (TKU), Chun-Hsiung Hsia (NTU),
Hsin-Yuan Huang (NCTU), Hung-Wen Kuo (NCKU), Dong-Ho Tsai (NTHU), Jenn-Nan Wang (NTU),
Kun-Chien Wu (NCKU)

Dynamical systems:

Jung-Chao Ban (NCCU), Chih-Hung Chang (NUK), Kuo-Chang Chen (NTHU), Cheng-Hsiung Hsu (NCU)

Probability:

Guan-Yu Chen (NCTU), Lung-Chi Chen (NCCU), Hao-Wei Huang (NTHU), Chii-Ruey Hwang (AS),
Gi-Ren Liu (NCKU), Yuan-Chung Sheu (NCTU), Wai Kit Lam (NTU), Jhih-Huang Li (NTU), Shang-Yuan Shiu (NCU)

Analysis:

Chin-Cheng Lin (NCU), Chun-Yen Shen (NTU), Daniel Spector (NTNU)

 Events
Seminars and Talks
 2022/09/29
 Nonlinear Stability and Asymptotic Behavior of Periodic Wave Trains in Reaction-diffusion Systems against $C^2_{\mathrm{ub}}$-perturbations Abstract In this talk I present a nonlinear stability theory for periodic wave trains in reac...
Seminars and Talks
 2022/09/22
 Conserved Energies for the One-dimensional Cubic Nonlinear Defocusing Schrödinger Equation with Nonzero Boundary Conditions at Infinity Abstract  In this talk we are going to construct a family of conserved energies for ...
Seminars and Talks
 2022/08/11
 Free Boundary Problem for a Gas Bubble in a Liquid, and Asymptotic Stability of the Manifold of Spherically Symmetric Equilibria Abstract I will give an introduction of an asymptotic system derived by Z. Biro and J. J. L. ...
Conference and Workshop
 2022/10/24
 Aim & Scope: This conference brings together researchers in the community of mathematical...
Conference and Workshop
 2022/08/31
 Aim & Scope: This is the fourth NCTS PDE symposium. We aim to bring experts and young res...
Conference and Workshop
 2022/08/17
 Aim & Scope: The “2022 NCTS South Taiwan Workshop on Scientific Computing, Differen...
 Visitors
 Yung-Chang Hsu
 Purdue University July 18 - August 21, 2022

 Tai-Peng Tsai
 University of British Columbia ttsai[AT]math.ubc.ca July 9 - August 14, 2022

 Ju-Yi Yen
 University of Cincinnati ju-yi.yen[AT]uc.edu August 5 - 19, 2022

 (C) 2021 National Center for Theoretical Sciences