*mercoledì 9 gennaio 2019*

ore 11:00

*Scuola Normale Superiore*

Pisa

Aula Mancini

*Eduard Feireisl*

*(Institute of Mathematics of the Czech Academy of Sciences)*

Terrà un seminario dal titolo:

*“**Semiflow selection for the compressible Euler system**” *

*Abstract:*

*Using the methods of the theory of Markov semigroups, we show the existence of a Borel measurable solution semiflow for the isentropic Euler system in the multidimensional setting. Solutions are understood as time dependent trajectories of the basic state variables - the mass density, the linear momentum, and the energy - in a suitable phase space. The underlying system of PDE's is satisfied in a generalized sense. The solution semiflow enjoys the standard semigroup properties and the solutions coincide with the strong solutionsof the isentropic Euler system as long as the latter exists. Moreover, *

*they minimize the energy (maximize the energy dissipation) among all generalized solutions. **(joint work with D.Breit and M.Hofmanova)*

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