Analysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interaction

DOI10.1090/tran/8125zbMath1448.74031arXiv1911.09927OpenAlexW3006901164MaRDI QIDQ5125080

Boris Muha, Marija Galić, Sunčica Čanić

Publication date: 1 October 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09927

zbMATH Keywords

weak solutionexistenceNavier-Stokes equationstime discretizationKoiter composite shellLie operator splitting

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Shells (74K25) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

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