The well‐posedness of the double‐diffusive convection system in a bounded domain | Zendy

Chen Fei | Zendy; Guo Boling | Zendy; Zeng Lan | Zendy

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The well‐posedness of the double‐diffusive convection system in a bounded domain

Author(s) -

Chen Fei,

Guo Boling,

Zeng Lan

Publication year - 2018

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4895

Subject(s) - mathematics , bounded function , domain (mathematical analysis) , initial value problem , mathematical analysis , norm (philosophy) , convection , convection–diffusion equation , double diffusive convection , boundary value problem , physics , natural convection , meteorology , rayleigh number , political science , law

In this paper, we consider the well‐posedness of the initial and boundary value problem for the double‐diffusive convection system in a bounded domain Ω ⊂R 3 . We first prove the local existence of the unique strong solution with large initial data inH 0 1 ( Ω ) and then extend it to a global one provided the L 2 norm of the initial data is small.

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