The weak sigma-attractor for the semi-dissipative 2D Boussinesq system

The weak sigma-attractor for the semi-dissipative 2D Boussinesq system

In this paper, we obtain the attraction properties for the velocity variable of the 2D Boussinesq equations with viscosity and without heat diffusion in the sense of the strong topology of VV and prove that the weak sigma-attractor has a pancake-like structure, which answer partly some questions ari...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2020-03, Vol.148 (3), p.1219-1231
Hauptverfasser: He, Jinfang, Sun, Chunyou
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we obtain the attraction properties for the velocity variable of the 2D Boussinesq equations with viscosity and without heat diffusion in the sense of the strong topology of VV and prove that the weak sigma-attractor has a pancake-like structure, which answer partly some questions arising in Biswas et al. [Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), pp. 381–405] and enrich the structure of the weak sigma-attractor.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/14807