Weak and strong solutions of a nonlinear subsonic flow-structure interaction: semigroup approach

DOI10.1016/j.na.2011.01.028zbMath1230.35107OpenAlexW2062968188MaRDI QIDQ534455

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 May 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.01.028

zbMATH Keywords

well-posednessnonlinear plate equationflow-structure interactionvon Karman nonlinearity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) General aerodynamics and subsonic flows (76G25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (16)

Nonlinear elastic plate in a flow of gas: recent results and conjectures ⋮ Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid ⋮ Quasi-stability and exponential attractors for a non-gradient system -- applications to piston-theoretic plates with internal damping ⋮ Attractors for Delayed, Nonrotational von Karman Plates with Applications to Flow-Structure Interactions Without any Damping ⋮ Semigroup well-posedness of a linearized, compressible fluid with an elastic boundary ⋮ Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space ⋮ An inviscid free boundary fluid-wave model ⋮ Flow-plate interactions: well-posedness and long-time behavior ⋮ Interaction of an elastic plate with a linearized inviscid incompressible fluid ⋮ Eliminating flutter for clamped von Karman plates immersed in subsonic flows ⋮ Stabilization of a nonlinear flow-plate interaction via component-wise decomposition ⋮ Nonlinear plates interacting with a subsonic, inviscid flow via Kutta-Joukowski interface conditions ⋮ Feedback Stabilization of a Fluttering Panel in an Inviscid Subsonic Potential Flow ⋮ A thorough look at the (in)stability of piston-theoretic beams ⋮ A linearized viscous, compressible flow-plate interaction with non-dissipative coupling ⋮ Generation of bounded semigroups in nonlinear subsonic flow-structure interactions with boundary dissipation

Cites Work

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• Stabilization of von Kármán plate in the presence of thermal effects in a subsonic potential flow of gas
• Non homogeneous boundary value problems for second order hyperbolic operators
• Les equations de von Kármán
• Mixed problem for hyperbolic equation of second order
• Dynamics of a thermoelastic von Kármán plate in a subsonic gas flow
• Mathematical Control Theory of Coupled PDEs
• Long-time behavior of second order evolution equations with nonlinear damping
• Von Karman Evolution Equations
• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
• A modern course in aeroelasticity.
• Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions

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