Home /  Singularities & PDEs Representing Natural Phenomena

AxIOM

Singularities & PDEs Representing Natural Phenomena May 03, 2027 to May 28, 2027
Organizers LEAD Ugur Abdulla (Okinawa Institute of Science and Technology), Suncica Canic (University of California, Berkeley), Gui-Qiang Chen (University of Oxford), Donatella Danielli (Arizona State University), Zoran Grujic (University of Alabama at Birmingham), Gigliola Staffilani (Massachusetts Institute of Technology)
Description
Image002
Unlock the mysteries of singularities with the mathematical tools that study shock waves, fluid flows, quantum systems, and beyond. This research program brings together world-leading experts to advance breakthrough theories in Analysis and PDEs, from Wiener-type criteria and free boundary problems to nonlinear wave dynamics and machine-learning-guided discovery. Bridging pure mathematics, probability, fluid mechanics, numerical analysis, and biomedical engineering, the program will ignite new collaborations and advance how we understand the mathematics behind natural phenomena.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords

  • partial differential equations

  • elliptic PDEs

  • parabolic PDEs

  • potential theory

  • Free Boundary problems

  • obstacle problems

  • singularity theory

  • probability theory

  • Markov processes

  • Brownian motion

  • nonlinear Schrödinger equations

  • Nonlinear Hyperbolic Systems of Conservation Laws

  • Shock Waves

  • Nonlinear PDE Systems in Fluid Mechanics

  • Euler equations

  • Navier-Stokes system

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Logistics AxIOM Logistics can be viewed by Members. If you are a AxIOM member then Login Here.
AxIOM Workshops Workshop dates have not yet been selected