Existence of global weak solutions for the high frequency and small displacement oscillation fluid–structure interaction systems

DOI10.1002/MMA.6936zbMath1475.35242OpenAlexW3095611658MaRDI QIDQ5004103

Lin Shen, Yue-Hong Feng, Shu Wang

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6936

zbMATH Keywords

compactness methodNavier-Stokes equationsglobal weak solutionsFSIcoupled PDEs

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Higher-order hyperbolic equations (35L25)

Related Items (4)

Boundary stabilization of an elastic body surrounding a viscous incompressible fluid ⋮ Note on the global wellposedness of two-dimensional incompressible Navier-Stokes fluid structure interaction model ⋮ Well-posedness and exponential stability of a coupled fluid-thermoelastic plate interaction model with second sound ⋮ Well-posedness for incompressible fluid-solid interaction with vorticity

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