Weekly Seminar
Dissipative solutions and K-convergence of numerical scheme
Eduard Feireisl (Academy of Sciences of the Czech Republic)
Wed, 19 Jun 2019 • 14:30-15:30h • Templergraben 55, Room 114


We introduce the concept of dissipative solutions to the compressible Euler system and discuss its basic properties: Weak-weak uniqueness, stability, maximal energy dissipation - entropy production. Then we show that dissipative solutions form a perfect target object for energy dissipating numerical schemes. Introducing the concept of K-convergence (Komlós convergence) we show that Cesàro averages of numerical solutions approach strongly (a.e. pointwise) to a dissipative solution of the Euler system.