On a certain system of equations with delay, occurring in aeroelasticity

DOI10.1007/BF01097291zbMath0783.73046MaRDI QIDQ1179936

Igor D. Chueshov

Publication date: 27 June 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak solutionexistenceuniquenessasymptotic behaviourelastic shallow shellquasi-linear system of partial differential equationssupersonic potential stream

Mathematics Subject Classification ID

Related Items (16)

Inertial manifolds for retarded semilinear parabolic equations ⋮ Nonlinear elastic plate in a flow of gas: recent results and conjectures ⋮ Partial differential equations with discrete and distributed state-dependent delays ⋮ Stabilization of von Kármán plate in the presence of thermal effects in a subsonic potential flow of gas ⋮ Long term dynamics of second order-in-time stochastic evolution equations with state-dependent delay ⋮ Non-local PDEs with a state-dependent delay term presented by Stieltjes integral ⋮ Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space ⋮ A condition on delay for differential equations with discrete state-dependent delay ⋮ Flow-plate interactions: well-posedness and long-time behavior ⋮ Eliminating flutter for clamped von Karman plates immersed in subsonic flows ⋮ Long—time behaviour of strong solutions of retarded nonlinear P.D.E.s ⋮ On boundary value problem for a class of retarded nonlinear partial differential equations ⋮ Investigations of retarded PDEs of second order in time using the method of inertial manifolds with delay. ⋮ Non-linear partial differential equations with discrete state-dependent delays in a metric space ⋮ Differential equations with discrete state-dependent delay: Uniqueness and well-posedness in the space of continuous functions ⋮ Inertial manifolds for retarded second order in time evolution equations

Cites Work

• Unnamed Item
• Theory of functional differential equations. 2nd ed
• Unstable invariant sets of semigroups of non-linear operators and their perturbations
• On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations

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