The Oberbeck-Boussinesq system with non-local boundary conditions

Anna Abbatiello; Eduard Feireisl

The Oberbeck-Boussinesq system with non-local boundary conditions

Analysis of PDEs 2022-07-01 v1

Authors: Anna Abbatiello , Eduard Feireisl

Abstract

We consider the Oberbeck--Boussinesq system with non--local boundary conditions arising as a singular limit of the full Navier--Stokes--Fourier system in the regime of low Mach and low Froude number. The existence of strong solutions is shown on a maximal time interval $[0, T_{\rm max})$ . Moreover, $T_{\rm max} = \infty$ in the two dimensional setting.

Keywords

oberbeck-boussinesq system non-local boundary conditions navier-stokes-fourier system strong solutions low mach number low froude number two-dimensional setting

Cite

@article{arxiv.2206.15130,
  title  = {The Oberbeck-Boussinesq system with non-local boundary conditions},
  author = {Anna Abbatiello and Eduard Feireisl},
  journal= {arXiv preprint arXiv:2206.15130},
  year   = {2022}
}

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