PDE Models and Nonlinear Waves in Fluids and Plasmas

Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and the formation of large scale structures in the universe, etc. The question of global-in-time regularity versus finite-time singularity formation for the nonlinear PDE models, governed by the Euler or Navier-Stokes equations, has been one of the most challenging outstanding problems in the applied PDE. It is also important to understand the long time dynamics of the models, such as in the fluid turbulence and the pattern formation in many physical systems.

This workshop aims at bringing together researchers, scientists and graduate students from Mainland China, Hong Kong and abroad to exchange their research achievements in: singularity formation; stability and bifurcation; integrable systems; the modeling and analysis for the description of long time dynamics and the formation of coherent structures, among others.