Analyticity of Periodic Solutions of the 2D Boussinesq System

DOI10.1007/978-0-387-75217-4_2zbMath1141.76017OpenAlexW46026677MaRDI QIDQ3514578

Maxim Arnold

Publication date: 21 July 2008

Published in: Instability in Models Connected with Fluid Flows I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-75217-4_2

zbMATH Keywords

uniquenessglobal existenceFourier coefficientsdecay at infinity

Mathematics Subject Classification ID

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

Cites Work

• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\)
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Regularity of solutions to vorticity Navier-Stokes system on \(\mathbb R^{2}\)
• Global regularity for the viscous Boussinesq equations
• AN ELEMENTARY PROOF OF THE EXISTENCE AND UNIQUENESS THEOREM FOR THE NAVIER–STOKES EQUATIONS
• Small-scale structures in Boussinesq convection
• On Local and Global Existence and Uniqueness of Solutions of the 3D Navier—Stokes System on ℝ3
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