Some insides in homogenization of compressible Navier-Stokes equations

Abstract: We investigate the homogenization of the two- and three-dimensional unsteady compressible Navier-Stokes equations, and show (i) the convergence result for the 2D case, and (ii) a better lower bound for the adiabatic exponent occurring in the pressure law for the 3D case. The latter will be covered with two different proofs. Lastly, we briefly discuss the optimality of the achieved bounds for the adiabatic exponent in terms of the underlying space-time dimension. This is joint work with Šárka Nečasová (CAS) and Milan Pokorný (Charles University).

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)