Oscillations of von Karman's plate in a potential flow of gas

DOI10.1070/im1999v063n02ABEH000237zbMath0948.74017OpenAlexW2043769389MaRDI QIDQ4719673

Louis Boutet de Monvel, Igor D. Chueshov

Publication date: 9 January 2000

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1999v063n02abeh000237

zbMATH Keywords

rotatory inertiauniquenessnonlinear oscillationsweak solutionsglobal existencesupersonic flowssubsonic flowsclamped plateaerodynamic pressurevon Kármán's equationslinearized theory of potential flowsretarded nonlinear partial differential equation

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) General aerodynamics and subsonic flows (76G25) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (10)

Nonlinear elastic plate in a flow of gas: recent results and conjectures ⋮ Attractors for Delayed, Nonrotational von Karman Plates with Applications to Flow-Structure Interactions Without any Damping ⋮ Stabilization of von Kármán plate in the presence of thermal effects in a subsonic potential flow of gas ⋮ Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space ⋮ Flow-plate interactions: well-posedness and long-time behavior ⋮ 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 ⋮ Global solutions to a structure acoustic interaction model with nonlinear sources

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