The Global Existence and Averaging Theorem for the Strong Solution of the Stochastic Boussinesq Equations with the Low Froude Number

The Global Existence and Averaging Theorem for the Strong Solution of the Stochastic Boussinesq Equations with the Low Froude Number

Considering the stochastic Boussinesq equations with additive noise, we prove the global existence for the strong solution in the case of strong stable stratification. The averaging theorem is also established.

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Veröffentlicht in:Journal of mathematical fluid mechanics 2022-05, Vol.24 (2), Article 32
Hauptverfasser: Du, Lihuai, Zhang, Ting
Format: Artikel
Sprache:eng
Schlagworte:
Boussinesq equations
Classical and Continuum Physics
Existence theorems
Fluid mechanics
Fluid- and Aerodynamics
Froude number
Mathematical analysis
Mathematical Methods in Physics
Physics
Physics and Astronomy
Theoretical mathematics
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Zusammenfassung:Considering the stochastic Boussinesq equations with additive noise, we prove the global existence for the strong solution in the case of strong stable stratification. The averaging theorem is also established.
ISSN:1422-6928
1422-6952
DOI:10.1007/s00021-022-00674-7