Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces

Giovanni P. Galdi, Matthias Georg Hieber, Takahito Kashiwabara

Research output: Contribution to journalArticle

4 Citations (Scopus)


We show that the three-dimensional primitive equations admit a strong time-periodic solution of period T > 0, provided the forcing term f ϵ L2(0, T ; L2(Ω)) is a time-periodic function of the same period. No restriction on the magnitude of f is assumed. As a corollary, if, in. particular, f is time-independent, the corresponding solution is steady-state.

Original languageEnglish
Pages (from-to)3979-3992
Number of pages14
Issue number10
Publication statusPublished - 2017 Sep 18
Externally publishedYes



  • primitive equations
  • stationary solutions
  • strong periodic solutions
  • weak-strong uniqueness

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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