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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics