Regularity results in 2D fluid-structure interaction

DOI10.1007/s00208-022-02548-9arXiv2207.14159MaRDI QIDQ6191274

Dominic Breit

Publication date: 9 February 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14159

zbMATH Keywords

incompressible fluiddisplacement of the structureelastic moving boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Shells (74K25) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Nonlinear constitutive equations for materials with memory (74D10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Moving boundary problems for PDEs (35R37) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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