Local existence of strong solutions of a fluid-structure interaction model

DOI10.1007/s00021-020-00520-8zbMath1452.35154arXiv1808.06716OpenAlexW3086078450MaRDI QIDQ2211725

Sourav Mitra

Publication date: 12 November 2020

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06716

zbMATH Keywords

local existencecompressible fluidfluid-structure interaction modelEuler-Bernoulli damped beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Moving boundary problems for PDEs (35R37) Strong solutions to PDEs (35D35)

Related Items (12)

On a fluid–structure interaction problem for plaque growth ⋮ Weak solution to the incompressible viscous fluid and a thermoelastic plate interaction problem in 3D ⋮ Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange ⋮ Navier-Stokes-Fourier fluids interacting with elastic shells ⋮ Short-time existence of a quasi-stationary fluid-structure interaction problem for plaque growth ⋮ Compressible fluids interacting with plates: regularity and weak-strong uniqueness ⋮ The existence of a weak solution for a compressible multicomponent fluid structure interaction problem ⋮ On the Interaction Problem between a Compressible Viscous Fluid and a Nonlinear Thermoelastic Plate ⋮ Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier-Stokes-Fourier fluid and a damped plate equation ⋮ Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation^* ⋮ Observability and unique continuation of the adjoint of a linearized simplified compressible fluid-structure model in a 2d channel ⋮ On a fluid-structure interaction problem for plaque growth: cylindrical domain

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