Periodic solutions in unbounded domains for the Boussinesq system
نویسندگان
چکیده
منابع مشابه
Analyticity of Periodic Solutions of the 2D Boussinesq System
The Cauchy problem for the 2D Boussinesq system with periodic boundary conditions is studied. The global existence and uniqueness of a solution with initial data (u(0), θ(0)) ∈ Φ(α) is established, where Φ(α) is the space of functions the kth Fourier coefficients of which decay at infinity as 1 |k|α , α > 2. It is proved that the solution becomes analytic at any positive time. Bibliography: 10 ...
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ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2010
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-010-7360-z