On the primitive equations and the hydrostatic Stokes operator. (English) Zbl 1426.35001
Darmstadt: TU Darmstadt, Fachbereicht Mathematik (Diss.). 159 p. (2018).
This PhD thesis concerns well-posedness of initial-boundary value problems for the primitive equations for large classes of initial data. The author works in \(L^p\)-spaces as well as in \(L^\infty\)-spaces.
Reviewer: Lutz Recke (Berlin)
MSC:
| 35-02 | Research exposition (monographs, survey articles) pertaining to partial differential equations |
| 35Q35 | PDEs in connection with fluid mechanics |
| 35G61 | Initial-boundary value problems for systems of nonlinear higher-order PDEs |
| 86A05 | Hydrology, hydrography, oceanography |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 47D06 | One-parameter semigroups and linear evolution equations |
