Global well-posedness for the 2D fractional Boussinesq equations in the subcritical case
type: Item
instance of: scholarly article
title: Global well-posedness for the 2D fractional Boussinesq equations in the subcritical case
zbMATH Open document ID: 1456.35174
author: Daoguo Zhou
author: Zilai Li
author: Haifeng Shang
author: Jiahong Wu
author: Jiefeng Zhao
author: Baoquan Yuan
published in: Pacific Journal of Mathematics
publication date: 2019-02-11T00:00:00Z
review text: The paper deals with the global in time well-posedness problem for the 2D Boussinesq equations with fractional dissipation in the subcritical regime. Namely, in the velocity dissipation dominated case for the largest possible range of the exponent of \(-\Delta^{\frac{\alpha}{2}}\), \(\alpha\in(0,1)\), the existence of a unique regular global in time solution is proved.
reviewed by: G. Jaiani
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7020383
zbMATH Keywords: Boussinesq equations
zbMATH Keywords: fractional dissipation
zbMATH Keywords: global regularity
MaRDI profile type: Publication
full work available at URL: pjm.2019.298.233
OpenAlex ID: W2912682707
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Wikidata QID: Q128490816
DOI: 10.2140/PJM.2019.298.233
description: scientific article; zbMATH DE number 7020383