Nonlinear plates interacting with a subsonic, inviscid flow via Kutta-Joukowski interface conditions

DOI10.1016/j.nonrwa.2013.11.004zbMath1302.35318arXiv1311.1245OpenAlexW2963763596MaRDI QIDQ2510872

Justin T. Webster, Irena Lasiecka

Publication date: 4 August 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1245

zbMATH Keywords

singular integral operatormixed boundary conditionshyperbolic equation in the half-spaceKutta-Joukowski boundary conditionsNeumann-flow mapwell-posedness of the fluid-structure interactionZaremba type elliptic problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) General aerodynamics and subsonic flows (76G25) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (3)

Nonlinear elastic plate in a flow of gas: recent results and conjectures ⋮ Eight(y) mathematical questions on fluids and structures ⋮ Static stability analysis of a thin plate with a fixed trailing edge in axial subsonic flow: Possio integral equation approach

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