English

Non-uniqueness of Oberbeck-Boussinesq System with Gravitational Field

Analysis of PDEs 2024-11-28 v1

Abstract

We consider the Oberbeck-Boussinesq system with gravitational force on the whole space. We prove the non-uniqueness of the system applying the unstable profile of Navier-Stokes equation.

Keywords

Cite

@article{arxiv.2411.17929,
  title  = {Non-uniqueness of Oberbeck-Boussinesq System with Gravitational Field},
  author = {Xiaoran Liu},
  journal= {arXiv preprint arXiv:2411.17929},
  year   = {2024}
}

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10 pages