2023 Wilmington NC USA

(In)Stability and the long time behaviour of fluid flows

 Organizer(s):
Name:
Affiliation:
Country:
Miroslav Bulíček
Charles University, Prague
Czech Rep
Vit Prusa
Charles University, Prague
Czech Rep
 Abstract:  
  We focus on the dynamical systems driven by systems of nonlinear partial differential equations describing flows of fluids with complicated rheology (heat conducting viscoelastic fluids etc.). Recently several methods have been developed for studying the (non)uniqueness and/or the (in)stability of the solution. The main purpose of the special session is to present and discuss new results in the field, to give/propose an optimal criteria for uniqueness and stability or for non-uniqueness and instability of the solution and to present new optimal regularity results. The emphasis will be on the complicated models going much beyond the standard Navier-Stokes equations.

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