On a Model of an Elastic Body Fully Immersed in a Viscous Incompressible Fluid with Small Data
DOI10.1137/22m151947xarXiv2208.14859OpenAlexW4390790969WikidataQ130152273 ScholiaQ130152273MaRDI QIDQ6150508
Igor Kukavica, Wojciech S. Ożański
Publication date: 8 February 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.14859
Navier-Stokes equationsglobal solutionsfluid-structure interactionlong time behaviordamped wave equation
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) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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