Some remarks on planar Boussinesq equations

DOI10.1007/s10255-012-0167-1zbMath1255.35004OpenAlexW2006917169MaRDI QIDQ692678

Ying Liu, Quan-sen Jiu, Xian-Jin Li, Chun-yan Xue, Xiao-jing Cai

Publication date: 6 December 2012

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: http://dspace.imech.ac.cn/handle/311007/46644

zbMATH Keywords

Schauder fixed-point theoremCauchy problemwell-posednessclassical solutionsstream function form

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Classical solutions to PDEs (35A09)

Cites Work

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• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Weak solutions of Navier-Stokes equations
• On weak solutions of nonstationary Boussinesq equations
• Global solutions of two-dimensional Navier-Stokes and Euler equations
• A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
• Nonstationary plane flow of viscous and ideal fluids
• Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations

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