Special Session 96: Recent Trends in Navier-Stokes Equations, Euler Equations, and Related Problems

The primitive equations and conjecture of Onsager
Sarka Necasova
Czech Academy of Sciences
Czech Rep
Co-Author(s):    M.A. Rodriqez-Bellido, T. Tang, , E. Wiedeman, L. Zhu
Abstract:
In the talk, we will focus on the problem of the conservation of energy for the weak solutions to the compressible primitive equations system with degenerate viscosity. This part of the talk is based on collaboration with M.A. Bellido and T. Tang. Moreover, we will consider the Osanger conjecture for the incompressible primitive system in a bounded domain. This part of the talk is based on the collaborations with E. Wiedemann, T. Tang, and L. Zhu.