Uniqueness criteria and strong solutions of the Boussinesq equations in completely general domains

DOI10.4171/ZAA/1533zbMath1320.35282MaRDI QIDQ2344901

Christian Komo

Publication date: 19 May 2015

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

strong solutionsweak solutionsSerrin's classinstationary Boussenisq equationsuniqueness critiria

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

Related Items (1)

On uniqueness of mild solutions for Boussinesq equations in Morrey-type spaces

Cites Work

• Regularity of weak solutions to the Navier-Stokes equations in exterior domains
• On the existence of local strong solutions for the Navier-Stokes equations in completely general domains
• On optimal initial value conditions for local strong solutions of the Navier-Stokes equations
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• Extensions of Serrin's uniqueness and regularity conditions for the Navier-Stokes equations
• Energy-based regularity criteria for the Navier-Stokes equations
• Large time decay and growth for solutions of a viscous Boussinesq system
• Local in time regularity properties of the Navier-Stokes equations
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