Global existence of solutions to the periodic initial value problems for two-dimensional Newton-Boussinesq equations

DOI10.1007/s10483-010-0401-9zbMath1209.35021OpenAlexW2030592627MaRDI QIDQ605104

Lingyu Jin, Bo-ling Guo, Shao-mei Fang

Publication date: 23 November 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-0401-9

zbMATH Keywords

iteration methodsmethod of a priori estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (3)

Non-autonomous 2D Newton-Boussinesq equation with oscillating external forces and its uniform attractor ⋮ Existence of global attractors for two-dimensional Newton-Boussinesq equation ⋮ Finite-dimensional Pullback Attractors for Non-autonomous Newton–Boussinesq Equations in Some Two-dimensional Unbounded Domains

Cites Work

• Asymptotic behavior of the Newton-Boussinesq equation in a two-dimensional channel
• Infinite-dimensional dynamical systems in mechanics and physics
• Spectral method for solving two-dimensional Newton-Boussinesq equations
• Nonlinear Galerkin methods for solving two dimensional Newton-Boussinesq equations

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