Homogenization of Navier--Stokes--Fourier system in domains with tiny holes

Abstract: We consider the compressible Navier--Stokes--Fourier system in a domain with large number of holes. Under the assumption that the holes are sufficiently small, together with certain standard assumptions on the adiabatic exponent and the behaviour of the heat conductivity, we show that if passing simultaneously with the number of holes to infinity and their size to zero, in the limit we obtain again solution to the compressible Navier--Stokes--Fourier system in the domain without holes. The result holds both for the steady and evolutionary problem. It is a joint work with Yong Lu (Nanjing University) and Emil Skříšovský (Charles University, Prague).

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor).