Local existence and uniqueness of the dynamical equations of an incompressible membrane in two-dimensional space

DOI10.4310/CMS.2010.v8.n3.a9zbMath1206.35009OpenAlexW1977969572MaRDI QIDQ620039

Pingwen Zhang, Peng Song, Dan Hu

Publication date: 19 January 2011

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cms/1282747140

zbMATH Keywords

geometric nonlinearityelliptic-hyperbolic systembending elasticityfluid nonlinearitysurface incompressibility

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Membranes (74K15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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