Winter School: Shocks and Implosions in Fluids

January 6 - 9, 2026, The Fields Institute

Location: Fields Institute, Room 230

Description

The main topics of this winter school will be the formation of implosion singularities in compressible fluids from smooth initial data, as well as inviscid limits for hyperbolic conservation laws with shock singularities. In particular, we will cover the works of [Cao-Labora, Gómez-Serrano, Shi, Staffilani, 2023] and [Anderson, Chaturvedi, Graham, 2025].

Lecturers:

Jia Shi (MIT), Cole Graham (UW Madison).

Schedule

Tuesday, January 6th, 2026
10:00 to 12:00	Vanishing viscosity and shock formation in 1D conservation laws Cole Graham, University of Wisconsin–Madison
12:00 to 15:00	Lunch
15:00 to 17:00	Shocks, relaxation, and pattern formation in gas dynamics, shallow water flow, and biomorphology Kevin Zumbrun, Indiana University

Wednesday, January 7th, 2026
10:00 to 12:00	Vanishing viscosity and shock formation in 1D conservation laws Cole Graham, University of Wisconsin–Madison

Thursday, January 8th, 2026
10:00 to 12:00	Formation of implosion singularities in compressible fluids from smooth initial data Jia Shi, Indiana University Bloomington
12:00 to 15:00	Lunch
15:00 to 16:00	Shocks, relaxation, and pattern formation in gas dynamics, shallow water flow, and biomorphology Kevin Zumbrun, Indiana University

Friday, January 9th, 2026
10:00 to 12:00	Formation of implosion singularities in compressible fluids from smooth initial data Jia Shi, Indiana University Bloomington

Registered Participants

Name	Affiliation
Ahnaf Akter
Christopher Alexander	Rutgers University
Muhammad Arham Amin	The University of Alabama at Birmingham
Srivathsan Amruth
John Anderson	Stony Brook University
Xinliang An
Al-Tarazi Assaubay	Nazarbayev University
Hassan Babaei	University of Illinois at Chicago
Muhammad Baqir	University of Karachi
Maryam Basiri	Toronto Metropolitan University
Kutand Alkım Bayer	IZMIR INSTITUTE OF TECHNOLOGY
Akshita Bhardwaj	Indian Institute of Technology Roorkee
Manas Bhatnagar	University of Massachusetts Boston
Eleanor Byrnes	University of Washington, Seattle
Sanchit Chaturvedi	Courant Institute of Mathematical Sciences, New York University
Gui-Qiang G. Chen	Mathematical Institute - University of Oxford
Hangsheng Chen	University of Illinois - Chicago
Yonggeun Cho	Jeonbuk National University
Serban Cicortas	Princeton University
Anubhav Dash	National Institute of Technology Rourkela
Artorix de la Cruz	Dalhousie University
Dipak Dulal
Efi Eisenberg	Einstein Institute of Mathematics, The Hebrew University of Jerusalem
Emma Elley	University of Oxford
Benjamin Faktor	University of California, Los Angeles
Mikhail Feldman	University of Wisconsin–Madison
Pau Figueras	Queen Mary University of London
Sita Gakkhar	California Institute of Technology
William Gao	University of Toronto
Zachary Goddard
Niranjan Gopinath
Cole Graham	University of Wisconsin–Madison
Itamar Halevy
Kam Hazaveh	LAAB Fund
Siming He	University of South Carolina
Scott Holtshousen	University of Waterloo
Jiasheng Huang	Stony Brook University
Kennedy Idu	University of Toronto
Saima Ijaz
Ahmad Ismail	Federal University Dutse
Yiqing Jiang
Adilbek Kairzhan	Nazarbayev University
Abdul Samad Khan	Northwestern Polytechnical University
Suliman Khan	Nanjing University of Aeronautics and Astronautics
Mengni Li	Southeast University
Jiaqi Liu	University of Southern California
Shane Liu	Toronto Metropolitan University
Maryam Maleki	Isfahan University of Technology
Jordan Marajh	Queen Mary University of London
Alberto Maspero	Scuola Internazionale di Studi Superiori Avanzati (SISSA)
Giusy Mazzone	Queen's University
Will McDermott	Vanderbilt University
Yves Mulongo	University of Kinshasa School of Public Health
Neelam Neelam	National Institute of technology Warangal
Barry Ngo	University of Ottawa
Vyom Patel	University of Waterloo
Mingjie Pei	Northwestern University
Marco Poon	University of Toronto
Antonio Milosh Radakovic	SISSA
Mikale Reddy	University of Toronto
Sumaira Rehman	Fields CQAM
Alan Riquier	The Fields Institute
Maria Teresa Rotolo	SISSA Trieste
Shengyi Shen	Ningbo University
Jia Shi	Indiana University Bloomington
Sosina Desu Sisay	Addis Ababa University (space science and Geospatial Institute)
Yuefeng Song	Stanford University
Annalaura Stingo	Ecole Polytechnique
Ning Tang	University of California Berkeley
Jin Tan	The Chinese University of Hong Kong
Dr. Amit Tomar
Petia Vlahovska	Northwestern University
Mittu Walia
Bingheng Yang	Texas A&M University
Xiaotong (Dawson) Yang	University of Illinois Chicago
Yuchao Yi	University of California, San Diego
DIFAN YUAN	Beijing Normal University
Lei Yu	Tongji University
Davide Zaccaria	University of Toronto
Shayan Zahedi	École Polytechnique, France
Lan Zhang	Wuhan University of Technology
Xinyu Zhao	New Jersey Institute of Technology
Haoming Zhu	University of Illinois at Chicago
Kevin Zumbrun	Indiana University