Institute for Mathematical Sciences

Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications

Partially supported by Centre for Advanced 2D Materials (CA2DM)

(30 Sep 2019 - 31 Mar 2020)

Visitor List

Tariq Abbas
Universiti Teknologi Malaysia , Malaysia
Shaffique Adam
Yale-NUS College and CA2DM, Singapore
Mark Ainsworth
Brown University, USA

Fractional Cahn-Hilliard equation(s): analysis, properties and approximation

Giacomo Albi
Università degli Studi di Verona, Italy

Kinetic approximation of optimal control problems for collective dynamics

Xinliang An
National University of Singapore, Singapore

Fermi's Golden Rule and H^1 Scattering for Nonlinear Klein-Gordon Equations with Metastable States

(PDF)

Xavier Antoine
Université de Lorraine, France

Some properties and numerical aspects of fractional Schrödinger equations

Paolo Antonelli
Gran Sasso Science Institute, Italy

The Cauchy problem for the quantum hydrodynamics system and the stability of weak solutions

(PDF)

Gil Ariel
Bar Ilan University, Israel

Bacterial swarming: experiments and modelling

Rosalio Artes Jr
Mindanao State University, Philippines
Weizhu Bao
National University of Singapore, Singapore

Quantized vortex stability and dynamics in superfluidity and superconductivity

(PDF) (Video)


Tutorial:

Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations and applications

(PDF) (Video 1, Video 2)


Collective dynamics of quantized vortices in superfluidity and superconductivity

Christophe Besse
Université Toulouse III - Paul Sabatier, France

Energy preserving method for nonlinear Schrodinger equations

(PDF) (Video)

Blair Blakie
The University of Otago, New Zealand

Droplets and supersolids - novel physics of dipolar Bose-Einstein condensates

(PDF) (Video)

Sergio Blanes
Universidad Politécnica de Valencia, Spain
Emeric Bouin
Université Paris-Dauphine, France
Marc Brachet
Laboratoire de Physique de l'École Normale Supérieure, France

The formation of compact objects at finite temperatures in a self-gravitating bosonic system

(PDF) (Video)

Yongyong Cai
Beijing Computational Science Research Center, China

A stable scheme for a 2D dynamic Q-tensor model of nematic liquid crystals


Ground states of spinor Bose-Einstein condensates

(PDF)


Tutorial on mathematical model, theory and simulation for Bose-Einstein condensation


Ground states of Bose-Einstein condensates with higher order interaction

Zhenning Cai
National University of Singapore, Singapore

Regularized 13-moment equations for inverse power law models


On hyperbolicity and convergence of Grad's moment method

(PDF)

Marco Caliari
Università Degli Studi di Verona, Italy

A free boundary approach to Gross-Pitaevski equations

(PDF)

Junying Cao
Guizhou Minzu University, China
Rémi Carles
Centre National de la Recherche Scientifique, France
Ricardo Carretero
San Diego State University, USA

Reduction dynamics for soliton stripes, vortices, and vortex rings in quantum superfluids

(PDF) (Video)

José Antonio Carrillo
Imperial College London, UK

Tutorial:

Cell-cell adhesion micro-and macroscopic models via aggregation-diffusion systems

(Video 1, Video 2)


Swarming models with local alignment effects: phase transitions & hydrodynamics

Elena Celledoni
Norwegian University of Science and Technology, Norway
Huajie Chen
Beijing Normal University, China
Jingrun Chen
Soochow University, China
Li Chen
Universität Mannheim, Germany

Analysis on the model hierarchy for mean field interacting particle system via non Lipschitz and velocity dependent force

Albert Chern
Technische Universität Berlin, Germany

Incompressible Schrödinger and Ginzburg—Landau systems in computer graphics

I-Liang Chern
National Taiwan University, Taiwan
Hyoung Joon Choi
Yonsei University, Korea
Young-Pil Choi
Yonsei University, Korea

A hydrodynamic model for synchronization phenomena

Meiyin Chou
Academia Sinica, Taiwan
David Cohen
Umeå University, Sweden
Nicolas Crouseilles
INRIA Rennes Bretagne Atlantique , France
Tao Cui
Chinese Academy of Sciences, China
Xiaoying Dai
Chinese Academy of Sciences, China
Ionut Danaila
University of Rouen Normandy, France

Finite-element tools for the 2D/3D simulation of phase-change materials

(PDF)


Tutorial:

Solving PDEs with finite elements: an introduction to free software FreeFem++

(PDF 1, PDF 2) (Video 1, Video 2)

Luminita Danaila
COmplexe de Recherche Interprofessionnel en Aérothermochimie, France

A tractable theory of Turbulence to account for initial and boundary conditions of realistic flows

Matthew Davis
The University of Queensland, Australia
Pierre Degond
Imperial College London, UK
Yinbin Deng
Central China Normal University, China

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

Giacomo Dimarco
University of Ferrara, Italy

The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations

Shijin Ding
China Normal University, China

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

Marie Doumic
Institute for Research in Computer Science and Automation, Inria, France
Qin Duan
Shenzhen University, China

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

Bertram Düring
University of Sussex, UK

On a kinetic Elo rating model for players with dynamical strength

(PDF)

Martin Eckstein
Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

Nonequilibrium dynamical mean-field theory and hidden phases of quantum matter

Lukas Einkemmer
Universität Innsbruck, Austria
Gissell Estrada-Rodriguez
Laboratoire Jacques-Louis Lions - Sorbonne Université, France
Simon Tobias Etter
National University of Singapore, Singapore

Polynomial and rational approximation for electronic structure theory

(PDF)

Yuan Ping Feng
National University of Singapore, Singapore
Yue Feng
National University of Singapore, Singapore

Error estimates for the long time dynamics of thenonlinear Klein-Gordon equation

(PDF)

Gadi Fibich
Tel Aviv University, Israel

Diffusion of new products in social networks

Francis Filbet
Institut de Mathématiques de Toulouse, France
Reika Fukuizumi
Tohoku University, Japan

Gibbs equilibrium for Gross-Pitaevskii equation

(PDF)

Xingri Geng
National University of Singapore, Singapore
Diogo Gomes
King Abdullah University of Science and Technology, Saudi Arabia

Symbolic computations in PDE

Jiangbin Gong
National University of Singapore, Singapore

On-demand topological matter by periodic driving

Xinggao Gong
Fudan University, China
Carsten Gräser
Freie Universität Berlin, Germany
Maurizio Grasselli
Politecnico di Milano, Italy
Yichen Guo
National University of Singapore, Singapore

Uniform error estimate of a nested Picard integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator

(PDF)

Zhenhua Guo
Northwest University, China

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

Seung-Yeal Ha
Seoul National University, Korea

Emergent behaviors of Lohe tensor flocks

Jan Haskovec
King Abdullah University of Science and Technology, Saudi Arabia

Rigorous continuum limit for the discrete network formation problem

Michael Herty
RWTH Aachen University, Germany

Models for data propagation in large-scale computer systems

Walter Hofstetter
Goethe University Frankfurt AM Main, Germany

Correlated topological states with interfaces and disorder

Guanghui Hu
University of Macau, China
Jiang Hu
Peking University, China
Wei Hua
Shenyang Normal University, China
Bing Huang
Beijing Computational Science Research Center, China
Can Huang
Xiamen University, China
Chengming Huang
Huazhong University of Science and Technology, China
Qiongao Huang
South China Normal University, China
Weijie Huang
National University of Singapore, Singapore
Ahmad A. Hujeirat
Universität Heidelberg, Germany

Glitching pulsars: probing the interaction of incompressible quantum superfluids with compressible dissipative nuclear fluids under strong gravitational fields

Arieh Iserles
University of Cambridge, UK
Tobias Jahnke
Karlsruhe Institute of Technology, Germany
Dieter Jaksch
University of Oxford, UK

Variational quantum algorithms for nonlinear problems

(PDF) (Video)


Tutorial:

Tensor networks for strongly correlated quantum systems

(PDF 1, PDF 2, PDF 3, PDF 4) (Video 1, Video 2)

Robert Jerrard
University of Toronto, Canada
Huai-Yu Jian
Tsinghua University, China

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

Kai Jiang
Xiangtan University, China
Wei Jiang
Wuhan University, China

Phase field approach for simulating solid-state dewetting problems

Shi Jin
Shanghai Jiao Tong University, China

Random batch methods for interacting particle systems and its applications in consensus-based high dimensional global optimization in machine learning

(Video)

Yuanfeng Jin
Yanbian University, China
Henrik Jönsson
University of Cambridge, UK
Ansgar Juengel
TU Wien, Austria
Ansgar Jüngel
TU Wien, Austria
Victor Kalt
Université de Technologie de Troyes, France
Dohyun Kim
National Institute for Mathematical Sciences, Korea

Emergent behaviors of the Schrödinger-Lohe model for quantum synchronization

Yong-Jung Kim
Korea Advanced Institute of Science and Technology, Korea
Huihui Kong
University of Science and Technology Beijing, China
Mikito Koshino
Osaka University, Japan
Karolina Kropielnicka
University of Gdańsk, Poland
Choy Heng Lai
National University of Singapore, Singapore
Ying Tong Lai
National University of Singapore, Singapore
Ying Sheng Lam
Singapore University of Technology & Design, Singapore
King-Yeung Lam, Adrian
Ohio State University, USA
Zhen Lei
Fudan University, China
Mohammed Lemou
Université de Rennes 1, France

Highly-oscillatory evolution equations with time-varying vanishing frequency: asymptotics and numerics

Mathieu Lewin
Université Paris-Dauphine, France
Buyang Li
The Hong Kong Polytechnic University, Hong Kong
Hailiang Li
Capital Normal University, China

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

Jing Li
Nanchang University and Academia Sinica, China

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

Jinkai Li
South China Normal University, China

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

Jiyong Li
Hebei Normal University, China
Qianxiao Li
National University of Singapore, Singapore

A dynamical systems approach to deep learning: optimization, approximation and beyond

Shuwang Li
Illinois Institute of Technology, USA
Tiejun Li
Peking University, China
Wan-Tong Li
Lanzhou University, China
Xiang-Gui Li
Beijing Information Science and Technology University, China
Xiaofan Li
Illinois Institute of Technology, USA
Xiaoli Li
Xiamen University, China
Yang Li
National University of Singapore, Singapore
Yifei Li
National University of Singapore, Singapore
Matthew Liew
Universität Mannheim, Germany
Bo Lin
National University of Singapore, Singapore

Computing committor functions for the study of rare events using deep learning


An efficient and accurate parallel simulator for streamer discharges in three

(PDF)

Guo Lin
Lanzhou University, China
Hai-Qing Lin
Beijing Computational Science Research Center, China

Deriving order parameter from the reduced density matrix

(PDF) (Video)

Chun Liu
Illinois Institute of Technology, USA
Chundi Liu
Beijing University of Technology, China
Hongyan Liu
Nanyang Technological University, Singapore
Hongyan Liu
Nanyang Technological University, Singapore
Lei Liu
Beijing Computational Science Research Center, China
Liu Liu
The University of Texas at Austin, USA

A bi-fidelity method for multiscale kinetic equations with random parameters: computation and error analysis

Richard Liu
Michigan State University, USA
Shixing Liu
Liaoning University, China
Tiegang Liu
Beihang University, China
Wei Liu
Hunan Normal University, China
Xi Liu
National University of Singapore, Singapore
Xin Liu
Chinese Academy of Sciences, China
Zhaoqiang Liu
National University of Singapore, Singapore
Tommaso Lorenzi
University of St Andrews, UK
Emmanuel Lorin
Carleton University, Canada

Analysis of convergence of Schwarz waveform relaxation methods for the Schroedinger equation

(PDF) (Video)

Christian Lubich
Universität Tübingen, Germany
Francky Luddens
University of Rouen Normandy, France

Quantum turbulence exploration using the Gross-Pitaevskii equation

(PDF)

Mitchell Luskin
University of Minnesota, USA
Ying Ma
Beijing Computational Science Research Center, China
Boris Malomed
Tel Aviv University, Israel

Nonlinear dissipative photonics with spin-orbit coupling


Tutorial on Multidimensional solitons in optics, ultracold gases, and beyond: Predictions, creation, and expectations

(PDF) (Video)

Anna Marciniak-Czochra
Heidelberg University, Germany
Peter A. Markowich
King Abdullah University of Science and Technology, Saudi Arabia

Continuum models of transportation networks with differential equations

(PDF) (Video)


Tutorial:

On WKB Asymptotics, Wigner and Bohmian measures and Schrödinger equations with relaxation-generation.

Nicola Marzari
École polytechnique fédérale de Lausanne, Switzerland
Florian Méhats
Université de Rennes 1, France

Averaging for Vlasov and Vlasov-Poisson equations

(PDF) (Video)

Borui Miao
Peking University, China
Ping-bing Ming
Chinese Academy of Sciences, China
Christian Miniatura
National University of Singapore, Singapore

Matter waves in disordered potentials: from localization to thermalization and condensation

(PDF)

Bora Moon
Seoul National University, Korea
Antonio Helio Castro Neto
National University of Singapore, Singapore
Qing Nie
University of California, Irvine, USA

Data-driven multiscale modeling of cell fate dynamics

Yasumasa Nishiura
Tohoku University, Japan
Dongjuan Niu
Capital Normal University, China

Some recent results on incompressible flows with helical symmetry

Alexander Ostermann
University of Innsbruck, Austria
Yaobin Ou
Renmin University of China, China

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

Shuxia Pan
Lanzhou University of Technology, China
Lorenzo Pareschi
University of Ferrara, Italy

Multifidelity Monte Carlo methods for kinetic equations with uncertainties


Tutorial:

Uncertainty quantification for kinetic equations and related problems

Benoit Perthame
Sorbonne-Université, France
Diane Peurichard
Inria de Paris, France
Paola Pietra
Institute for Applied Mathematics and Information Technologies (IMATI), Italy
Dario Poletti
Singapore University of Technology and Design, Singapore

Relaxation dynamics of many-body open quantum systems

Bartosz Protas
McMaster University, Canada

Extreme vortex states and the hydrodynamic blow-up problem

(PDF)

Nick Proukakis
Newcastle University, UK

Dynamical modelling of phase transitions

Han Pu
Rice University, USA

Generating synthetic spin-orbit coupling in cold atoms using periodic driving

(PDF) (Video)

Changzheng Qu
Ningbo University, China

Stability of non-smooth solitons to integrable systems

Su Ying Quek
National University of Singapore, Singapore
Gaël Raoul
Ecole Polytechnique, France
Weiqing Ren
National University of Singapore, Singapore
Aleksandr Rodin
Yale-NUS College and CA2DM, Singapore
Xinran Ruan
Sorbonne Université, France
Ulrich Rüde
Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
Jesús María Sanz-Serna
Universidad Carlos III de Madrid, Spain
Mirza Satriawan
Universitas Gadjah Mada, Indonesia

Dark matters from particles with unusual statistics

(PDF) (Video)

Jean-Claude Saut
Université Paris-Sud, France
Markus Schmidtchen
Laboratoire Jacques-Louis Lions (UPMC), France
Katharina Schratz
Karlsruher Institut für Technologie (KIT), Germany
Youngsoo Seol
Dong-A University, South Korea
Sihong Shao
Peking University, China

Computational quantum mechanics in phase space

(PDF)

Jinye Shen
Southeast University, China
Cheung Tao Sheng
Nanyang Technological University, Singaproe
Woojoo Shim
Seoul National University, Korea
Qingzhou Shu
Sichuan University, China
Ruiwen Shu
University of Maryland, USA
Jesus Sierra
University of Vienna, Austria

On a dissipative Gross-Pitaevskii-type model for exciton-polariton condensates

(PDF)

Pranav Singh
University of Oxford, UK
Didier Smets
Sorbonne Université, France
Chunmei Su
Technical University of Munich, Germany
Yoshie Sugiyama
Osaka University, Japan
Kangtai Sun
National University of Singapore, Singapore
Yajuan Sun
Chinese Academy of Sciences, China
Zhigang Sun
Chinese Academy of Sciences, China

Recent development of state-to-state quantum reactive scattering theory

(PDF)


Tutorial:

Numerical methods for solving Schrodinger equation about chemical reaction

(Video 1, Video 2)

Eitan Tadmor
University of Maryland, USA

Tutorial:

Collective dynamics, kinetics and social hydrodynamics: the emergence of patterns


Distinguished Visitor Lecture Series:

Emergent behavior in collective dynamics

Changhui Tan
University of South Carolina, USA

Eulerian dynamics in multi-dimensions with radial symmetry

Min Tang
Shanghai Jiao Tong University, China
Qinglin Tang
Sichuan University, China

Computing ground states of spin 2 Bose-Einstein condensates by the normalized gradient flow

(PDF)

Kristian Sommer Thygesen
Technical University of Denmark, Denmark
Minh-Binh Tran
Southern Methodist University, USA
Ariane Trescases
Université Toulouse III - Paul Sabatier, France
Athanasios Tzavaras
King Abdullah University of Science and Technology, Saudi Arabia

High friction limits from Euler flows to gradient flows

(PDF)


Tutorial on analytical techniques for multi-scale problems in materials

Nicolas Vauchelet
Université Paris 13, France
Umesh V. Waghmare
J Nehru Centre for Advanced Scientific Research, India
Boyi Wang
Southern University of Science and Technology, China
Chunpeng Wang
Jilin University, China

Smooth transonic flows in de Laval nozzles

Dengshan Wang
Beijing Information Science and Technology University, China

Evolution of initial discontinuity for the defocusing complex modified KdV equation

Hao Wang
Sichuan University, China
Jian-Sheng Wang
National University of Singapore, Singapore

Angular momentum radiation by a benzene molecule

(PDF) (Video)

Keyan Wang
Shanghai University of Finance and Economics, China
Li-Lian Wang
Nanyang Technological University , Singapore
Pengde Wang
Henan University of Economics and Laws, China
Tingchun Wang
Nanjing University of Information Science and Technology, China
Wei-Cheng Wang
National Tsing Hua University, Taiwan
Xiaolin Wang
University of Wollongong, Australia
Xiaoming Wang
Southern University of Science and Technology, China

TBA

Xiaoping Wang
Hong Kong University of Science and Technology, Hong Kong

Topology optimization, theory, numerical methods and applications

Xuefeng Wang
The Chinese University of Hong Kong, Shenzhen, China
Yan Wang
Central China Normal University, China
Yun Wang
Soochow University, China

Some progress in Leray's problem

Zhisong Wang
National University of Singapore, Singapore
Ziqiang Wang
Guizhou Minzu University, China
Su-Huai Wei
Beijing Computational Science Research Center, China
Justin Song Chien Wen
Nanyang Technological University, Singapore
Michael Winkler
Universität Paderborn, Germany
Marie-Therese Wolfram
University of Warwick, UK

Boltzmann and Fokker-Planck equations modelling the Elo rating system with learning effects

Haijun Wu
Nanjing University, China
Hao Wu
Tsinghua University, China
Yaping Wu
Capital Normal University, China
Yinhua Xia
University of Science and Technology of China, China

Invariant preserving discontinuous Galerkin methods for nonlinear wave equations

Chunjing Xie
Shanghai Jiao Tong University, China

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

Feng Xie
Shanghai Jiaotong University, China

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

Hehu Xie
Chinese Academy of Sciences, China
Shusen Xie
Ocean University of China, China
Xiaoping Xie
Sichuan University, China
Zhouping Xin
The Chinese University of Hong Kong, Hong Kong

Subsonic and sonic jet flows

Tao Xiong
Xiamen University, China
Jie Xu
Chinese Academy of Sciences, China
Wenqing Xu
California State University, Long Beach, USA

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

Xianmin Xu
Chinese Academy of Sciences, China
Yan Xu
University of Science and Technology of China, China
Zhenli Xu
Shanghai Jiao Tong University, China
Zhiguo Xu
Jilin University, China
Jie Yan
National University of Singapore, Singapore
Jingye Yan
National University of Singapore, Singapore
Zhengya Yan
Chinese Academy of Sciences, China
Bo Yang
Nanyang Technological University , Singapore
Chao Yang
Berkeley Lab Computing Sciences, University of California, USA

Algorithms for computing eigenvalues of quantum spin chains

Haizhao Yang
Purdue University , USA

Fast algorithms for deep learning based PDE solvers

(PDF)

Li Yang
Washington University in St. Louis, USA
Shengyuan Yang
Singapore University of Technology and Design, Singapore
Tong Yang
City University of Hong Kong, Hong Kong

A well-posedness theory for the Vlasov-Nordstrom-Fokker-Planck system

Xiaoping Yang
Nanjing University, China

On the growth and nodal sets of solutions to some elliptic equations

Xiu Yang
Nanyang Technological University, Singapore
Xiu Yang
Nanyang Technological University, Singapore
Zhijian Yang
Wuhan University, China
Yao Yao
Georgia Institute of Technology, USA

Uniqueness and non-uniqueness of steady states of aggregation-diffusion equation

Su Yi
Chinese Academy of Sciences, China

Trapped Bose-Einstein condensates with attractive s-wave interaction

Jia Yin
National University of Singapore, Singapore

Multiscale methods and analysis for the Dirac/nonlinear Dirac equation

(PDF)

Wenjun Ying
Shanghai Jiao Tong University , China
Hai-jun Yu
Chinese Academy of Sciences, China
Mattia Zanella
University of Pavia, Italy

Uncertainty quantification and control for collective phenomena

Fanhai Zeng
National University of Singapore, Singapore
Gengen Zhang
South China Normal University, China
Lei Zhang
Peking University, China
Liqun Zhang
Chinese Academy of Sciences, China

Continuous weak solutions of Boussinesq equations

Pingwen Zhang
Peking University, China
Rongpei Zhang
Shenyang normal university , China
Shikun Zhang
National University of Singaproe, Singapore
Teng Zhang
National University of Singapore, Singapore

Numerical simulations of vortex interactions in the nonlinear Schrödinger equation with periodic boundary conditions

Xizheng Zhang
National University of Singapore, Singapore
Yanzhi Zhang
Missouri University of Science and Technology, USA
Yong Zhang
Tianjin University, China

Fast convolution-type nonlocal potential solvers in nonlinear Schrödinger equation and lightning simulation

Yongmei Zhang
National University of Singapore, Singapore
Zhifei Zhang
Peking University, China
Zhiwen Zhang
The University of Hong Kong, Hong Kong
Zu-Quan Zhang
National University of Singapore, Singaproe
Alex Zhao
Wuhan University, China
Huijiang Zhao
Wuhan University, China

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

Quan Zhao
National University of Singapore, Singapore
Weiying Zheng
Chinese Academy of Sciences, China
Aihui Zhou
Chinese Academy of Sciences, China
Bingzhen Zhou
Nanyang Technological University, Singapore
Douglas Zhou
Shanghai Jiao Tong University, China
Tao Zhou
Chinese Academy of Sciences, China
Xuanxuan Zhou
Beijing Computational Science Research Center, China
Zhennan Zhou
Peking University, China
Tao Zhu
National University of Singapore, Singapore
Yongxing Zhu
Tsinghua University, China
Jorge Zubelli
Instituto de Matemática Pura e Aplicada, Brazil