On The Continuous Periodic Weak Slution of Boussinesq Equations

2015/11/11 by Tao, Tao, Zhang, Liqun
#35Q30 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.03448

Abstract

The Boussingesq equations was introduced in understanding the coupling nature of the thermodynamics and the fluid dynamics. We show the existence of continuous periodic weak solutions of the Boussinesq equations which satisfies the prescribed kinetic energy or some other prescribed property. Our results represent the conversions between internal energy and mechanical energy.

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