Thematic Session 4: Hyperbolic and mixed-type problems in fluid dynamics

Concentration of weak solutions in compressible flows

Xianpeng Hu
The Hong Kong Polytechnic University
Peoples Rep of China
Co-Author(s):    
Abstract:
We will discuss some recent progress in the concentration phenomenon of weak solutions for compressible flows. We will focus on two typical examples, compressible viscoelasticity and compressible Navier-Stokes equations. Some new observations, including the uniform bounds on localised fluid momentum and its Riesz potential in Orlicz spaces, will be discussed.