On an existence theory for a fluid-beam problem encompassing possible contacts

DOI10.5802/jep.162zbMath1465.76027arXiv1912.06396OpenAlexW3151294471MaRDI QIDQ2028051

Céline Grandmont, Jean-Jérôme Casanova, Matthieu Hillairet

Publication date: 31 May 2021

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06396

zbMATH Keywords

weak solutionincompressible Navier-Stokes equationsfluid-structure interactionbeam-bottom contact

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Navier-Stokes equations for incompressible viscous fluids (76D05) Contact in solid mechanics (74M15) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30)

Related Items (9)

Contactless rebound of elastic bodies in a viscous incompressible fluid ⋮ Maximal regularity for the Stokes system coupled with a wave equation: application to the system of interaction between a viscous incompressible fluid and an elastic wall ⋮ Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation ⋮ Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange ⋮ On the Interaction Problem between a Compressible Viscous Fluid and a Nonlinear Thermoelastic Plate ⋮ An inviscid free boundary fluid-wave model ⋮ Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts ⋮ Unrestricted deformations of thin elastic structures interacting with fluids ⋮ An \(L^2\) approach to viscous flow in the half space with free elastic surface

Cites Work

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