Global weak solutions to the generalized Proudman-Johnson equation

DOI10.3934/cpaa.2012.11.1387zbMath1270.35188OpenAlexW2334547543MaRDI QIDQ1947925

Chien-Hong Cho, Marcus Wunsch

Publication date: 29 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.1387

zbMATH Keywords

global weak solutionsgeneralized Proudman-Johnson equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Weak solutions to PDEs (35D30) Integro-partial differential equations (35R09)

Related Items (4)

Blow-up of solutions to the generalized inviscid Proudman-Johnson equation ⋮ Global estimates and blow-up criteria for the generalized Hunter-Saxton system ⋮ The role of initial curvature in solutions to the generalized inviscid Proudman-Johnson equation ⋮ On the global well-posedness of the inviscid generalized Proudman-Johnson equation using flow map arguments

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