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On the Regularity of the Oberbeck-Boussinesq Equations

  • Universidade Federal do Delta do Parnaíba
  • Universidad de La Serena

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This paper deals with a study on the Oberbeck-Boussinesq approximation describing the motion of an incompressible, heat-conducting fluid occupying a flat torus. The main objective is to show that the global-in-time weak solution of the Oberbeck-Boussinesq system has global regularity with some condition only on the speed field, i.e., without imposing any restrictions on the temperature.

Original languageEnglish
Title of host publicationTrends in Mathematics
PublisherSpringer Nature
Pages135-143
Number of pages9
DOIs
StatePublished - 2026

Publication series

NameTrends in Mathematics
Volume15
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Keywords

  • Oberbeck-Boussinesq equations
  • Weak solutions

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