121 citations · 223 across the 29 of their papers we have counts for
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Maximal regularity and global existence of solutions to a quasilinear thermoelastic plate system
Irena Lasiecka, Mathias Wilke
We consider a quasilinear PDE system which models nonlinear vibrations of a thermoelastic plate defined on a bounded domain in R^n. Well-posedness of solutions reconstructing maxim…
Attractors for Delayed, Non-Rotational von Karman Plates with Applications to Flow-Structure Interactions Without any Damping
Igor Chueshov, Irena Lasiecka, Justin T. Webster
This paper is devoted to a long time behavior analysis associated with flow structure interactions at subsonic and supersonic velocities. It turns out that an ntrinsic component of…
Evolution Semigroups in Supersonic Flow-Plate Interactions
Igor Chueshov, Irena Lasiecka, Justin T. Webster
We consider the well-posedness of a model for a flow-structure interaction. This model describes the dynamics of an elastic flexible plate with clamped boundary conditions immersed…
Well-posedness and long time behavior in nonlinear dissipative hyperbolic-like evolutions with critical exponents
Igor Chueshov, Irena Lasiecka
These lectures present the analysis of stability and control of long time behavior of PDE models described by nonlinear evolutions of hyperbolic type. Specific examples of the mode…
A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control
Paolo Acquistapace, Francesca Bucci, Irena Lasiecka
We study the infinite horizon Linear-Quadratic problem and the associated algebraic Riccati equations for systems with unbounded control actions. The operator-theoretic context is…
Smooth attractors of finite dimension for von Karman evolutions with nonlinear frictional damping localized in a boundary layer
Pelin G. Geredeli, Irena Lasiecka, Justin T. Webster
In this paper dynamic von Karman equations with localized interior damping supported in a boundary collar are considered. Hadamard well-posedness for von Karman plates with various…