The Large Deformation of Nonlinearly Elastic Tubes in Two-Dimensional Flows

DOI10.1137/0522078zbMath0743.47042OpenAlexW1996333076MaRDI QIDQ3982738

Stuart S. Antman, Massimo Lanza de Cristoforis

Publication date: 26 June 1992

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0522078

zbMATH Keywords

conformal mappingsglobal implicit function theorempressure fieldfixed point equation for the shape, involving a compact operatormaterial Lagrangian descriptionnonlinear boundary value problem incompressible inviscid fluidsspatial Eulerian description

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Fixed-point theorems (47H10) Incompressible inviscid fluids (76B99)

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