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math.AP2020
On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations -- rigorous justification
Hongjun Gao, Sarka Necasova, Tong Tang
In this work, we obtain the hydrostatic approximation by taking the small aspect ratio limit to the Navier-Stokes equations. The aspect ratio (the ratio of the depth to horizontal…
math.AP2020
Measure-valued solutions and weak-strong uniqueness for the incompressible inviscid fluid-rigid body interaction
Matteo Caggio, Ondřej Kreml, Šárka Nečasová +2
We consider a coupled system of partial and ordinary differential equations describing the interaction between an isentropic inviscid fluid and a rigid body moving freely inside th…
math.AP2020
Low Mach and thin domain limit for the compressible Euler system
Matteo Caggio, Bernard Ducomet, Sarka Necasova +1
We consider the compressible Euler system describing the motion of an ideal fluid confined to a straight layer . In the framework of dissipati…