1. Large time dynamics of 2D semi-dissipative Boussinesq equations
- Author
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Kun Zhao, Bing Li, and Fang Wang
- Subjects
Applied Mathematics ,010102 general mathematics ,General Physics and Astronomy ,Statistical and Nonlinear Physics ,Thermal diffusivity ,01 natural sciences ,Domain (mathematical analysis) ,010101 applied mathematics ,Bounded function ,Time dynamics ,Dissipative system ,Applied mathematics ,Boundary value problem ,0101 mathematics ,Mathematical Physics ,Mathematics - Abstract
In this paper, we construct an alternative proof for the long-time behavior of large-data classical solutions to the 2D semi-dissipative Boussinesq equations without thermal diffusion on a bounded domain subject to the stress-free boundary conditions, which was previously studied in Doering et al (2018 Physica D 376/7 144–59). To demonstrate the effectiveness of the new approach, we study the long-time behavior of large-data classical solutions to the initial-boundary value problem of a related model with density variance and subject to the no-flow boundary condition, for which the analytic technique utilized in Doering et al (2018 Physica D 376/7 144–59) is not directly accessible.
- Published
- 2020
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