Consider the full primitive equations, i.e. the three dimensional primitive equations coupled to the equation for temperature and salinity, and subject to outer forces. It is shown that this set of equations is globally strongly well-posed for arbitrary large initial data lying in certain interpolation spaces, which are explicitly characterized as subspaces of H2/p,p, 1<p<∞, satisfying certain boundary conditions. In particular, global well-posedness of the full primitive equations is obtained for initial data having less differentiability properties than H1, hereby generalizing a result by Cao and Titi (2007)  to the case of non-smooth data. In addition, it is shown that the solutions are exponentially decaying provided the outer forces possess this property.
|Number of pages||32|
|Journal||Journal of Differential Equations|
|Publication status||Published - 2016 Dec 15|
- Global strong well-posedness
- Primitive equations
ASJC Scopus subject areas