20thAnniversaryLogo

Institute for Mathematical Sciences

Forum 1: Nonlinear PDEs and Related Topics

(26 - 30 December 2019)

Partially supported by Centre for Advanced 2D Materials (CA2DM)
Venue: IMS Auditorium
PDF Abstracts

Thursday, 26 Dec 2019

08:30am - 08:45amRegistration
08:45am - 08:50amWelcome by local organizer
08:50amChair: Weizhu Bao, National University of Singapore, Singapore
08:50am - 09:30am

Non-existence of finite energy solution to compressible Navier-Stokes equations

(PDF)



Hailiang Li
Capital Normal University, China
09:30am - 10:10am

Global small solutions for heat conductive compressible Navier-Stokes equations with vacuum

(PDF) (Video)



Jinkai Li
South China Normal University, China
10:10am - 10:40amGroup Photo & Coffee Break
10:40am - 11:20am

Stability of non-smooth solitons to integrable systems

(PDF)



Changzheng Qu
Ningbo University, China
11:20am - 12:00pm

Existence and asymptotic behavior of positive solutions for a class of quasilinear Schrödinger equations with parameters

(PDF)



Yinbin Deng
Central China Normal University, China
12:00pm - 02:00pmLunch Reception at IMS
02:00pmChair: Zhouping Xin, The Chinese University of Hong Kong, Hong Kong
02:00pm - 02:40pm

Smooth transonic flows in de Laval nozzles

(PDF)



Chunpeng Wang
Jilin University, China
02:40pm - 03:20pm

Some recent results on incompressible flows with helical symmetry

(PDF)



Dongjuan Niu
Capital Normal University, China
03:20pm - 03:50pmCoffee Break
03:50pm - 04:30pm

Local well-posedness of 3-d Full-Navier-Stokes equations with degenerated viscosity and far field vacuum

(PDF)



Qin Duan
Shenzhen University, China
04:30pm - 05:10pm

Rigorous derivation of non-isentropic Low Mach number Navier-Stokes equations in bounded domains

(PDF)



Yaobin Ou
Renmin University of China, China

Friday, 27 Dec 2019

08:40am - 08:50amRegistration
08:50amChair: Wei Jiang, Wuhan University, China
08:50am - 09:30am

Topology optimization, theory, numerical methods and applications

(PDF) (Video)



Xiaoping Wang
Hong Kong University of Science and Technology, Hong Kong
09:30am - 10:10am

Invariant preserving discontinuous Galerkin methods for nonlinear wave equations

(PDF)



Yinhua Xia
University of Science and Technology of China, China
10:10am - 10:40amCoffee Break
10:40am - 11:20am

Continuous weak solutions of Boussinesq equations

(PDF) (Video)



Liqun Zhang
Chinese Academy of Sciences, China
11:20am - 12:00pm

Enhanced dissipation and transition threshold for the 3-D Poiseuille flow in a channel

(PDF)



Shijin Ding
China Normal University, China
12:00pm - 02:00pmLunch Break
02:00pmAn Afternoon of Activities at Department of Mathematics, NUS
Venue: Seminar Room 1 (#04-06) , Block S17, Level 4, 10 Lower Kent Ridge Road, Singapore 119076
02:00pmChair: Xiaoping Wang, Hong Kong University of Science and Technology, Hong Kong
02:00pm - 02:40pm

Convection in a coupled free-flow porous media flow system



Xiaoming Wang
Southern University of Science and Technology, China
02:40pm - 03:20pm

On the vanishing viscosity limit for a 3-D system arising from the Keller-Segel model



Wenqing Xu
California State University, Long Beach, USA
03:20pm - 03:50pmCoffee Break
03:50pm - 04:30pm

Radially symmetric stationary waves for the exterior problem of multidimensional Burgers equation



Huijiang Zhao
Wuhan University, China
04:30pm - 05:10pm

Verification of Prandtl boundary layer expansion for the steady electrically conducting fluids with a moving physical boundary



Feng Xie
Shanghai Jiaotong University, China
06:00pm - 09:00pmConference dinner (By invitation)

Monday, 30 Dec 2019

08:40am - 08:50amRegistration
08:50amChair: Qinglin Tang, Sichuan University, China
08:50am - 09:30am

The optimal global regularity regularity for elliptic equations which is degenerate or singular on the boundary

(PDF)



Huai-Yu Jian
Tsinghua University, China
09:30am - 10:10am

The growth and nodal sets of solutions to some elliptic equations

(PDF)



Xiaoping Yang
Nanjing University, China
10:10am - 10:40amCoffee Break
10:40am - 11:20am

Data-driven multiscale modeling of cell fate dynamics



Qing Nie
University of California, Irvine, USA
11:20am - 12:00pm

Global weak solutions to the three-dimensional compressible non-Newtonian fluid

(PDF)



Zhenhua Guo
Northwest University, China
12:00pm - 02:00pmLunch Break
02:00pmChair: Huai-Yu Jian, Tsinghua University, China
02:00pm - 02:40pm

Analysis on steady compressible Euler system with both fixed and free boundaries

(PDF) (Video)



Chunjing Xie
Shanghai Jiao Tong University, China
02:40pm - 03:20pm

Some progress in Leray's problem

(PDF)



Yun Wang
Soochow University, China
03:20pm - 03:50pmCoffee Break
03:50pm - 04:30pm

Global existence of weak solutions to the barotropic compressible Navier-Stokes flows with degenerate viscosities

(PDF)



Jing Li
Nanchang University and Academia Sinica, China
04:30pm - 05:10pm

Subsonic and sonic jet flows

(PDF) (Video)



Zhouping Xin
The Chinese University of Hong Kong, Hong Kong
05:10pm - 05:15pmClosing Remark