Strong Time-Periodic Solutions to the 3D Primitive Equations subject to Arbitrary Large Forces

Abstract

We show that the three-dimensional primitive equations admit a strong time-periodic solution of period $T>0$, provided the forcing term $f\in L^2(0,\mathcal{T};L^2(\Omega ))$ 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.

11 pages

References in corpus (1)

• Global Strong Well-posedness of the Three Dimensional Primitive equations in $L^p$-spaces

Cited by in corpus (2)

• Global Strong $L^p$ Well-Posedness of the 3D Primitive Equations with Heat and Salinity Diffusion
• Primitive Equations with Linearly Growing Initial Data