ON THE STRONG SOLVABILITY OF PRIMITIVE EQUATIONS FOR THE COUPLED ATMOSPHERE AND OCEAN MODEL
Аннотация
This communication concerns the free boundary problem of primitive equations for the coupled atmosphere and ocean in three-dimensional strip with surface tension. By using the so-called p-coordinates and another coordinate transformation fixing the time-dependent domain, the temporally local existence of the unique strong solution to the transformed problem is proved in Sobolev–Slobodetski˘ı spaces.
Об авторах
H. Honda
Department of Mathematics
Япония
Япония
Hirotada Honda
Department of Mathematics, Keio University, 3–14–1 Hiyoshi, Yokohama 223–8522, Japan
A. Tani
Department of Mathematics
Россия
Россия
Atusi Tani
Department of Mathematics, Keio University, 3–14–1 Hiyoshi, Yokohama 223–8522, Japan
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Рецензия
Для цитирования:
Honda H., Tani A. ON THE STRONG SOLVABILITY OF PRIMITIVE EQUATIONS FOR THE COUPLED ATMOSPHERE AND OCEAN MODEL. Математические заметки СВФУ. 2014;21(4):47-60.
For citation:
Honda H., Tani A. ON THE STRONG SOLVABILITY OF PRIMITIVE EQUATIONS FOR THE COUPLED ATMOSPHERE AND OCEAN MODEL. Mathematical notes of NEFU. 2014;21(4):47-60.
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