English

Compressible fluid inside a linear oscillator

Analysis of PDEs 2021-03-02 v1

Abstract

We use Feireisl-Lions theory to deduce the existence of weak solutions to a system describing the dynamics of a linear oscillator containing a Newtonian compressible fluid. The appropriate Navier-Stokes equation is considered on a domain whose movement has one degree of freedom. The equation is paired with the Newton law and we assume a no-slip boundary condition.

Keywords

Cite

@article{arxiv.2103.00322,
  title  = {Compressible fluid inside a linear oscillator},
  author = {Vaclav Macha},
  journal= {arXiv preprint arXiv:2103.00322},
  year   = {2021}
}
R2 v1 2026-06-23T23:34:28.493Z