On the asymptotic stability analysis and the existence of time-periodic solutions of the primitive equations

DOI10.1512/iumj.2013.62.4902zbMath1286.35032OpenAlexW2040322249MaRDI QIDQ5404713

Chun-Hsiung Hsia, Ming-Cheng Shiue

Publication date: 28 March 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/92d8711fe567d87b5abc2030107d377e03b25568

zbMATH Keywords

asymptotic stabilitytime-periodic solutionsprimitive equationsthree-dimensional finite cylindrical domaintime-dependent forcing terms

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10)

Related Items (6)

Asymptotic stability and bifurcation of time-periodic solutions for the viscous Burgers' equation ⋮ Time-periodic solutions of the primitive equations of large-scale moist atmosphere: existence and stability ⋮ Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces ⋮ On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations ⋮ On the long-time stability of a temporal discretization scheme for the three dimensional viscous primitive equations ⋮ Primitive equations with horizontal viscosity: the initial value and the time-periodic problem for physical boundary conditions

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