Energy decay and global solutions for a damped free boundary fluid–elastic structure interface model with variable coefficients in elasticity

DOI10.1080/00036811.2018.1551996zbMath1456.49020arXiv1802.00585OpenAlexW2963188029MaRDI QIDQ5147297

Yizhao Qin, Peng-Fei Yao

Publication date: 3 February 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00585

zbMATH Keywords

Navier-Stokes equationsfluid-structure interactionenergy decayboundary dissipationgeometric multiplier methodvariable coefficient wave equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (3)

Minimizing drag in a moving boundary fluid-elasticity interaction ⋮ Well-posedness and exponential stability of a coupled fluid-thermoelastic plate interaction model with second sound ⋮ Energy decay and global smooth solutions for a free boundary fluid-nonlinear elastic structure interface model with boundary dissipation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solutions to a fluid-structure interaction free boundary problem
• The interaction between quasilinear elastodynamics and the Navier-Stokes equations
• Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
• Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot
• Motion of an elastic solid inside an incompressible viscous fluid
• Global smooth solutions for the quasilinear wave equation with boundary dissipation
• Solutions to a Free Boundary Problem of Fluid-Structure Interaction
• On well-posedness for a free boundary fluid-structure model
• Small data global existence for a fluid-structure model
• On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
• On well-posedness and small data global existence for an interface damped free boundary fluid–structure model
• Riemannian geometry

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