191 citations · 333 across the 19 of their papers we have counts for
26 papers
Remark on an elastic plate interacting with a gas in a semi-infinite tube: periodic solutions
Igor Chueshov
We consider a conservative system consisting of an elastic plate interacting with a gas filling a semi-infinite tube. The plate is placed on the bottom of the tube. The dynamics of…
Mathematical Aeroelasticity: A Survey
Igor Chueshov, Earl H. Dowell, Irena Lasiecka +1
A variety of models describing the interaction between flows and oscillating structures are discussed. The main aim is to analyze conditions under which structural instability (flu…
Synchronization in coupled second order in time infinite-dimensional models
Igor Chueshov
We study asymptotic synchronization at the level of global attractors in a class of coupled second order in time models which arises in dissipative wave and elastic structure dynam…
Von Karman plate in a gas flow: recent results and conjectures
Igor Chueshov, Earl H. Dowell, Irena Lasiecka +1
We give a survey of recent results on flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic…
Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay
Igor Chueshov, Alexander Rezounenko
We deal with a class of parabolic nonlinear evolution equations with state-dependent delay. This class covers several important PDE models arising in biology. We first prove well-p…
Flow-plate interactions: Well-posedness and long-time behavior
Igor Chueshov, Irena Lasiecka, Justin T. Webster
We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow veloci…