GLOBAL EXISTENCE FOR THE STOCHASTIC BOUSSINESQ EQUATIONS WITH TRANSPORT NOISE AND SMALL ROUGH DATA
Affiliation
Department of Mathematics, University of ArizonaIssue Date
2024-01-09Keywords
pathwise solutionrough initial data
stochastic Boussinesq equations
transport noise
well-posedness
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Global Existence for the Stochastic Boussinesq Equations with Transport Noise and Small Rough Data Quyuan Lin, Rongchang Liu, and Weinan Wang SIAM Journal on Mathematical Analysis 2024 56:1, 501-528Rights
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This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
In this paper, we consider the stochastic Boussinesq equations on T3 with transport noise and rough initial data. We prove the existence and uniqueness of the local pathwise solution with initial data in Lp(Ω; Lp) for p > 5. By assuming additional smallness on the initial data and the noise, we establish the global existence of the pathwise solution. © 2024 Society for Industrial and Applied Mathematics.Note
Immediate accessISSN
0036-1410Version
Final Published Versionae974a485f413a2113503eed53cd6c53
10.1137/23M1559531