A note on global well-posedness of solutions to boussinesq equations with fractional dissipation. Issue 1 (January 2015)

• Record Type: Journal Article
• Authors: Ye, Zhuan
• Is Part Of: Acta mathematica scientia. Volume 35:Issue 1(2015)
• Page Start: 112
• Page End: 120
• Publication Date: 2015-01
• Subjects: Mathematical physics -- Periodicals; 530.15
• DOI: 10.1016/S0252-9602(14)60144-2
• Languages: English
• ISSNs: 0252-9602

Abstract

<abstract abstract-type="author" id="ceab10"> <title id="cestitle10">Abstract</title> <sec> <p id="spara10">The goal of this paper is to consider the global well-posedness to <italic>n</italic>-dimensional (<italic>n</italic> ≥ 3) Boussinesq equations with fractional dissipation. More precisely, it is proved that there exists a unique global regular solution to the Boussinesq equations provided the real parameter α satisfies <inline-formula><alternatives><inline-graphic xlink:href="ark:/27927/pgh3028twmq" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math altimg="si1.gif" overflow="scroll" id="d13e69" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>α</mml:mi><mml:mi> </mml:mi><mml:mo>≥</mml:mo><mml:mi> </mml:mi><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo>+</mml:mo><mml:mfrac><mml:mi>n</mml:mi><mml:mn>4</mml:mn></mml:mfrac></mml:mrow></mml:math></alternatives></inline-formula></p> </sec> </abstract>