191 citations · 333 across the 19 of their papers we have counts for
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math.AP2013
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…
math.AP2013★ 29 cited
Dynamics of second order in time evolution equations with state-dependent delay
Igor Chueshov, Alexander Rezounenko
We deal with a class of second order in time nonlinear evolution equations with state-dependent delay. This class covers several important PDE models arising in the theory ofnonlin…
math.DS2013★ 6 cited
Discrete data assimilation via Ladyzhenskaya squeezing property in the 3D viscous primitive equations
Igor Chueshov
We discuss the discrete data assimilation problem for the 3D viscous primitive equations arising in the modeling of large scale phenomena in oceanic dynamics. Our main result state…