Unrestricted deformations of thin elastic structures interacting with fluids

DOI10.1016/j.matpur.2023.02.007OpenAlexW4322505714MaRDI QIDQ2698030

Malte Kampschulte, Sebastian Schwarzacher, Gianmarco Sperone

Publication date: 14 April 2023

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.08047

zbMATH Keywords

beamweak solutionexistenceincompressible Navier-Stokes equationsfluid-structure interactiontime-dependent domainBogovskij operator

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of global strong solutions to a beam-fluid interaction system
• A note on the trace theorem for domains which are locally subgraph of a Hölder continuous function
• Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
• The interaction between quasilinear elastodynamics and the Navier-Stokes equations
• Injectivity and self-contact in nonlinear elasticity
• Computational vascular fluid dynamics: problems, models and methods
• Compressible fluids interacting with a linear-elastic shell
• Motion of an elastic solid inside an incompressible viscous fluid
• On an existence theory for a fluid-beam problem encompassing possible contacts
• A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof
• Existence of local strong solutions to fluid-beam and fluid-rod interaction systems
• Weak solutions for an incompressible Newtonian fluid interacting with a Koiter type shell
• Fluid-structure interaction and biomedical applications
• Existence and regularity of weak solutions for a fluid interacting with a non-linear shell in three dimensions
• Weak Solutions for An Incompressible, Generalized Newtonian Fluid Interacting with a Linearly Elastic Koiter Type Shell
• A decomposition technique for John domains
• Existence of weak solutions for unsteady motions of generalized Newtonian fluids
• Injective weak solutions in second-gradient nonlinear elasticity
• On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
• Analysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interaction
• Moving boundary problems
• Weak solutions for a fluid-elastic structure interaction model
• Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy
• Variational methods for fluid-structure interaction and porous media
• Construction of a right inverse for the divergence in non-cylindrical time dependent domains

This page was built for publication: Unrestricted deformations of thin elastic structures interacting with fluids