Nonlinear elastic plate in a flow of gas: recent results and conjectures
From MaRDI portal
Publication:301538
DOI10.1007/s00245-016-9349-1zbMath1354.35148arXiv1509.00808OpenAlexW2328263031WikidataQ123196811 ScholiaQ123196811MaRDI QIDQ301538
Irena Lasiecka, Justin T. Webster, Earl. H. Dowell, Igor D. Chueshov
Publication date: 30 June 2016
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.00808
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear elasticity (74B20) Plates (74K20) General aerodynamics and subsonic flows (76G25) Mixture effects in solid mechanics (74F20) Supersonic flows (76J20) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Improved boundary regularity for a Stokes-Lamé system, Theory of solutions for an inextensible cantilever, Remark on an elastic plate interacting with a gas in a semi-infinite tube: periodic solutions, Quasi-stability and exponential attractors for a non-gradient system -- applications to piston-theoretic plates with internal damping, Long-time dynamics of vectorial von Karman system with nonlinear thermal effects and free boundary conditions, Long-time dynamics of a von Karman equation with time delay, Asymptotic distribution of the eigenvalues of the bending‐torsion vibration model with fully nondissipative boundary feedback, Well-posedness for incompressible fluid-solid interaction with vorticity, Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space, Long-time dynamics of a hinged-free plate driven by a nonconservative force, Boundary feedback stabilization of a flexible wing model under unsteady aerodynamic loads, Global smooth attractors for dynamics of thermal shallow shells without vertical dissipation, A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes, A thorough look at the (in)stability of piston-theoretic beams, Large deflections of inextensible cantilevers: modeling, theory, and simulation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Flow-plate interactions: well-posedness and long-time behavior
- Eliminating flutter for clamped von Karman plates immersed in subsonic flows
- Dynamics of second order in time evolution equations with state-dependent delay
- Dynamics of quasi-stable dissipative systems
- Weak and strong solutions of a nonlinear subsonic flow-structure interaction: semigroup approach
- Stabilization of von Kármán plate in the presence of thermal effects in a subsonic potential flow of gas
- The analysis of linear partial differential operators. IV: Fourier integral operators
- Les equations de von Kármán
- On a certain system of equations with delay, occurring in aeroelasticity
- Infinite-dimensional dynamical systems in mechanics and physics
- Attractors for non-dissipative irrotational von Karman plates with boundary damping
- Attractors for second-order evolution equations with a nonlinear damping
- Asymptotic behavior of the solutions of a problem on the aeroelastic oscillations of a shell in hypersonic limit
- Theory and applications of partial functional differential equations
- Mixed problem for hyperbolic equation of second order
- Delay equations. Functional-, complex-, and nonlinear analysis
- Evolution semigroups in supersonic flow-plate interactions
- Solvability of reduced Possio integral equation in theoretical aeroelasticity
- Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay
- Dynamics of a thermoelastic von Kármán plate in a subsonic gas flow
- Nonlinear plates interacting with a subsonic, inviscid flow via Kutta-Joukowski interface conditions
- Mixed problems for hyperbolic equations. I: Energy inequalities
- Mathematical Control Theory of Coupled PDEs
- Feedback Stabilization of a Fluttering Panel in an Inviscid Subsonic Potential Flow
- Aeroelasticity
- Attractors for Delayed, Nonrotational von Karman Plates with Applications to Flow-Structure Interactions Without any Damping
- Asymptotic behaviour of the aeroelastic modes for an aircraft wing model in a subsonic air flow
- Spectral analysis of coupled Euler-Bernoulli and Timoshenko beam model
- Introduction to Hydrodynamic Stability
- Long-time behavior of second order evolution equations with nonlinear damping
- Von Karman Evolution Equations
- Singular Integral Equations In L p
- On Finite Hilbert Transforms
- Regularity and perturbation results for mixed second order elliptic problems
- Long—time behaviour of strong solutions of retarded nonlinear P.D.E.s
- Asymptotic and spectral properties of operator-valued functions generated by aircraft wing model
- Oscillations of von Karman's plate in a potential flow of gas
- A modern course in aeroelasticity.
