Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation

DOI10.1137/21M1443509zbMath1503.35182arXiv2003.04049OpenAlexW3009391413MaRDI QIDQ5092886

Matthias Sroczinski, Sebastian Schwarzacher

Publication date: 26 July 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04049

zbMATH Keywords

Navier-Stokes equationsvariable domainsfluid-structure interactionelastic platesweak-strong uniquenessstability estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Classical linear elasticity (74B05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Moving boundary problems for PDEs (35R37) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Navier-Stokes-Fourier fluids interacting with elastic shells ⋮ Compressible fluids interacting with plates: regularity and weak-strong uniqueness ⋮ Construction of a right inverse for the divergence in non-cylindrical time dependent domains ⋮ On the Interaction Problem between a Compressible Viscous Fluid and a Nonlinear Thermoelastic Plate ⋮ Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts ⋮ Existence and regularity of weak solutions for a fluid interacting with a non-linear shell in three dimensions

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