20thAnniversaryLogo

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

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

(PDF)

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

Large scale asymptotics of velocity-jump processes and non-local Hamilton-Jacobi equations

(Video)

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)

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)

Shuai Cao
National University of Singapore, Singapore
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)


Consensus based models and applications to global optimization

(Video)

Li Chen
Universität Mannheim, Germany

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

(PDF) (Video)

Albert Chern
Technische Universität Berlin, Germany

Incompressible Schrödinger and Ginzburg—Landau systems in computer graphics

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

A hydrodynamic model for synchronization phenomena

David Cohen
Umeå University, Sweden

Time integration of randomly perturbed Schrödinger-type equations

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

Ricardo Antonio Delgadillo
National University of Singapore, Singapore
Yinbin Deng
Central China Normal University, China

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

(PDF)

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

(PDF)

Xu'an Dou
Peking University, China
Marie Doumic
Institute for Research in Computer Science and Automation, Inria, France

Estimating the division in unicellular organisms: the incremental model

Qin Duan
Shenzhen University, China

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

(PDF)

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

Macroscopic description of nonlocal movement of biological systems in R^n and in networks

(Video)

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

(Video)

Francis Filbet
Institut de Mathématiques de Toulouse, France

Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system

(Video)

Reika Fukuizumi
Tohoku University, Japan

Gibbs equilibrium for Gross-Pitaevskii equation

(PDF)

Xiangxi Gao
Emory University, USA
Zhibin Gao
National University of Singapore, Singapore
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

Carsten Gräser
Freie Universität Berlin, Germany

Multiscale modelling of particles in membranes

(Video)

Maurizio Grasselli
Politecnico di Milano, Italy

Mathematical models of phase separation in binary liquids

(Video)

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

(PDF)

Seung-Yeal Ha
Seoul National University, Korea

Emergent behaviors of Lohe tensor flocks

(Video)

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

Rigorous continuum limit for the discrete network formation problem

(PDF) (Video)

Michael Herty
RWTH Aachen University, Germany

Models for data propagation in large-scale computer systems

(PDF)

Walter Hofstetter
Goethe University Frankfurt AM Main, Germany

Correlated topological states with interfaces and disorder

Jiang Hu
Peking University, China
Wei Hua
Shenyang 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

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)

Huai-Yu Jian
Tsinghua University, China

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

(PDF)

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)

Henrik Jönsson
University of Cambridge, UK

Modeling morphogenesis in plant stem cell niches

(Video)


Tutorial:

Modelling growth and cell division

(Link) (Video 1, Video 2)

Ansgar Jüngel
TU Wien, Austria

Diffusion in multicomponent systems: from Maxwell-Stefan to compressible fluid models

(PDF) (Video)

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

Sun-Chul Kim
Chung-Ang University, Korea (South)
Yong-Jung Kim
Korea Advanced Institute of Science and Technology, Korea

Revertible velocity jump process and heterogeneous diffusion

Huihui Kong
University of Science and Technology Beijing, China
Choy Heng Lai
National University of Singapore, Singapore
Ying Sheng Lam
Singapore University of Technology & Design, Singapore
King-Yeung Lam, Adrian
Ohio State University, USA

On the problem of spreading in Lotka-Volterra competition models

Zhen Lei
Fudan University, China

Liouville properties of the Navier-Stokes

(PDF)

Mohammed Lemou
Université de Rennes 1, France

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

Hailiang Li
Capital Normal University, China

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

(PDF)

Jing Li
Nanchang University and Academia Sinica, China

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

(PDF)

Jinkai Li
South China Normal University, China

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

(PDF) (Video)

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

Modeling and nonlinear simulation of solid tumor growth with chemotaxis

Tiejun Li
Peking University, China

scRNA-seq data analysis: issues and some recent results

Wan-Tong Li
Lanzhou University, China
Xiang-Gui Li
Beijing Information Science and Technology 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)

Chundi Liu
Beijing University of Technology, China
Hongyan Liu
Nanyang Technological University, Singapore
Hongyan Liu
Nanyang Technological University, Singapore
Liu Liu
The University of Texas at Austin, USA

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

Wei Liu
Hunan Normal University, China
Xi Liu
National University of Singapore, Singapore
Tommaso Lorenzi
University of St Andrews, UK

A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels

(PDF)

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)

Yong Lyu
Nanjing University, China
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

Mathematical modeling and analysis to compare different mechanisms of developmental pattern formation

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.

Florian Méhats
Université de Rennes 1, France

Averaging for Vlasov and Vlasov-Poisson equations

(PDF) (Video)

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

Spontaneous recovery of loop structure in multi-state network systems

(Video)

Dongjuan Niu
Capital Normal University, China

Some recent results on incompressible flows with helical symmetry

(PDF)

Yong Zheng Ong
National University of Singapore, Singapore
Yaobin Ou
Renmin University of China, China

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

(PDF)

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

Multifidelity Monte Carlo methods for kinetic equations with uncertainties

(Video)


Tutorial:

Uncertainty quantification for kinetic equations and related problems

(Video 1, Video 2)

Benoit Perthame
Sorbonne-Université, France

Tutorial:

Mathematical analysis of models for living tissues and tumor growth

(Video 1, Video 2)


Distinguished Visitor Lecture Series:

PDEs for neural assemblies; models, analysis and behavior

(Video)


Public Lecture:

Some Equations from Mathematical Biology

Diane Peurichard
Inria de Paris, France

A new model for the emergence of vascular networks

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

(PDF)

Su Ying Quek
National University of Singapore, Singapore
Gaël Raoul
Ecole Polytechnique, France

A structured population model for sexual populations

Weiqing Ren
National University of Singapore, Singapore
Aleksandr Rodin
Yale-NUS College and CA2DM, Singapore
Xinran Ruan
Sorbonne Université, France

An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics


Numerical methods for computing ground states of Bose-Einstein condensates with higher order interaction

Mirza Satriawan
Universitas Gadjah Mada, Indonesia

Dark matters from particles with unusual statistics

(PDF) (Video)

Markus Schmidtchen
Laboratoire Jacques-Louis Lions (UPMC), France
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
Jian Shi
National University of Singapore, Singapore
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)

David Srolovitz
City University of Hong Kong, Hong Kong
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

(Video 1, Video 2)


Distinguished Visitor Lecture Series:

Emergent behavior in collective dynamics

(Video)

Changhui Tan
University of South Carolina, USA

Eulerian dynamics in multi-dimensions with radial symmetry

(PDF)

Min Tang
Shanghai Jiao Tong University, China

Mathematical modeling and analysis of fractional diffusion induced by intracellular noise

Qinglin Tang
Sichuan University, China

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

(PDF)

Xin Tong
National University of Singapore, Singapore

Exploiting sparse conditional structure in high dimensional uncertainty quantification

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

Mathematical modeling of propagation of Wolbachia to control dengue spread

(Video)

Chunpeng Wang
Jilin University, China

Smooth transonic flows in de Laval nozzles

(PDF)

Dengshan Wang
Beijing Information Science and Technology University, China

Evolution of initial discontinuity for the defocusing complex modified KdV equation

(PDF) (Video)

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
Tingchun Wang
Nanjing University of Information Science and Technology, China
Xiaoming Wang
Southern University of Science and Technology, China

Convection in a coupled free-flow porous media flow system

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

Topology optimization, theory, numerical methods and applications

(PDF) (Video)

Xuefeng Wang
The Chinese University of Hong Kong, Shenzhen, China

Bulk-surface coupling: derivation of two models

(Video)

Yan Wang
Central China Normal University, China

A low-regularity method for the nonlinear Dirac equation

Yun Wang
Soochow University, China

Some progress in Leray's problem

(PDF)

Zhisong Wang
National University of Singapore, Singapore

A unified and exactly solvable model for dimeric nanomotors

(Video)

Justin Song Chien Wen
Nanyang Technological University, Singapore
Michael Winkler
Universität Paderborn, Germany

Can primitive chemotaxis generate spatial structures?

Marie-Therese Wolfram
University of Warwick, UK

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

Yaping Wu
Capital Normal University, China

Existence and stability of nontrivial steady states for the SKT competition model with cross-diffusion

Yinhua Xia
University of Science and Technology of China, China

Invariant preserving discontinuous Galerkin methods for nonlinear wave equations

(PDF)

Chunjing Xie
Shanghai Jiao Tong University, China

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

(PDF) (Video)

Feng Xie
Shanghai Jiaotong University, China

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

Zhouping Xin
The Chinese University of Hong Kong, Hong Kong

Subsonic and sonic jet flows

(PDF) (Video)

Wenqing Xu
California State University, Long Beach, USA

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

Zhiguo Xu
Jilin University, China
Jie Yan
National University of Singapore, Singapore

The responses of protein structures and protein-protein complexes to mechanical perturbations

Jingye Yan
National University of Singapore, Singapore
Zhenya 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)

Shengyuan Yang
Singapore University of Technology and Design, Singapore
Tong Yang
City University of Hong Kong, Hong Kong

The Vlasov-Nordström-Fokker-Planck system

(PDF) (Video)

Xiaoping Yang
Nanjing University, China

The growth and nodal sets of solutions to some elliptic equations

(PDF)

Xiu Yang
Nanyang Technological University, Singapore
Xiu Yang
Nanyang Technological University, Singapore
Jin Yao
National University of Singapore, Singapore
Yao Yao
Georgia Institute of Technology, USA

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

(PDF)

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)


Super-resolution of time-splitting methods for the Dirac/nonlinear Dirac equation

Mattia Zanella
University of Pavia, Italy

Uncertainty quantification and control for collective phenomena

Fanhai Zeng
National University of Singapore, Singapore
Lei Zhang
Peking University, China

Network design principle for dual function of adaptation and noise attenuation

Liqun Zhang
Chinese Academy of Sciences, China

Continuous weak solutions of Boussinesq equations

(PDF) (Video)

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
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
Zu-Quan Zhang
National University of Singapore, Singaproe
Alex, Xiaofei Zhao
Wuhan University, China

Uniformly accurate method for highly oscillatory Klein-Gordon equation and related models

Huijiang Zhao
Wuhan University, China

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

Quan Zhao
National University of Singapore, Singapore

An energy stable finite element method for moving contact lines in two-phase flow

Bingzhen Zhou
Nanyang Technological University, Singapore
Douglas Zhou
Shanghai Jiao Tong University, China

A brain-spired spiking neural model for artificial intelligence

Zhennan Zhou
Peking University, China

Fokker-Planck equations of neuron networks: rigorous justification and numerical simulation

(PDF)

Tao Zhu
National University of Singapore, Singapore