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math.AP2019★ 2 cited
The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings
Šárka Nečasová, Xavier Blanc, Raphaël Danchin +2
We consider the Cauchy problem for the barotropic Euler system coupled to Helmholtz or Poisson equations, in the whole space. We assume that the initial density is small enough, an…
math.AP2019★ 12 cited
On weak solutions to the problem of a rigid body with a cavity filled with a compressible fluid, and their asymptotic behavior
Giovanni Paolo Galdi, Václav Mácha, Šárka Nečasová
We prove the existence of a weak solution to the equations describing the inertial motions of a coupled system constituted by a rigid body containing a viscous compressible fluid.…