Global strong Lp well-posedness of the 3D primitive equations with heat and salinity diffusion

Matthias Hieber, Amru Hussein, Takahito Kashiwabara

研究成果: Article

5 引用 (Scopus)

抄録

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) [5] 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.

元の言語English
ページ(範囲)6950-6981
ページ数32
ジャーナルJournal of Differential Equations
261
発行部数12
DOI
出版物ステータスPublished - 2016 12 15
外部発表Yes

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Primitive Equations
Salinity
Well-posedness
Interpolation
Heat
Boundary conditions
Interpolation Spaces
Global Well-posedness
Differentiability
Temperature
Subspace
Three-dimensional
Arbitrary
Hot Temperature

ASJC Scopus subject areas

  • Analysis

これを引用

Global strong Lp well-posedness of the 3D primitive equations with heat and salinity diffusion. / Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito.

:: Journal of Differential Equations, 巻 261, 番号 12, 15.12.2016, p. 6950-6981.

研究成果: Article

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