Global smooth solution of a two-dimensional nonlinear singular system of differential equations arising from geostrophics

DOI10.1016/j.jde.2016.12.005zbMath1358.35116OpenAlexW2563523261MaRDI QIDQ505678

Linghai Zhang, Daiwen Huang, Bo-ling Guo, Dong-fen Bian, Yong Qian Han

Publication date: 26 January 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.12.005

zbMATH Keywords

existence and uniquenessCauchy problemsglobal smooth solutionuniform energy estimatessystems of differential equationsLeray-Schauder's fixed point principlespecial structures

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Existence and decay estimates of solution for a fourth order quasi-geostrophic equation

Cites Work

• Unnamed Item
• Existence and uniqueness of global solution of the Hasegawa–Mima equation
• Decay of solutions to magnetohydrodynamics equations in two space dimensions
• On the stability of large-amplitude geostrophic flows in a two-layer fluid: the case of ‘strong’ beta-effect
• Existence and decay of solutions to the two-dimensional fractional quasigeostrophic equation

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