2023 Wilmington NC USA

Recent Trends in Navier-Stokes Equations, Euler Equations, and Related Problems

 Organizer(s):
Name:
Affiliation:
Country:
Sarka Necasova
Mathematical Institute ASCR
Czech Rep
Reimund Rautmann
University of Paderborn
Germany
Werner Varnhorn
University of Kassel
Germany
 Abstract:  
  For many decades the basic equations of fluid dynamics have been in the focus of great interest and active research worldwide. Recently developed approaches and analytical tools helped to establish new criteria of uniqueness, stability, and regularity of weak and mild solutions, depending on different conditions of the data, and on results concerning multi-component flows. The same applies to the reaction between fluids and immersed bodies such as boundary control of self-propelled objects. Moreover, we dispose of new results concerning the asymptotic behaviour of suitable unsteady weak solutions with increasing time or with vanishing viscosity, and also concerning the general question whether or not the unsteady Navier-Stokes equations admit global attractors. Therefore, our Special Session aims at bringing together researchers from all over the world working in all of these or related fields in order to initiate fruitful discussions and cooperations.

List of approved abstract