English

Nonstationary flow for the Navier-Stokes equations in a cylindrical pipe

Analysis of PDEs 2015-05-27 v1 Mathematical Physics math.MP

Abstract

In cylindrical domain, we consider the nonstationary flow with prescribed inflow and outflow, modelled with Navier-Stokes equations under the slip boundary conditions. Using smallness of some derivatives of inflow function, external force and initial velocity of the flow, but with no smallness restrictions on the inflow, initial velocity neither force, we prove existence of solutions in W22,1.W^{2,1}_2.

Keywords

Cite

@article{arxiv.1103.4058,
  title  = {Nonstationary flow for the Navier-Stokes equations in a cylindrical pipe},
  author = {Joanna Renclawowicz and Wojciech M. Zajaczkowski},
  journal= {arXiv preprint arXiv:1103.4058},
  year   = {2015}
}