activity
20092025
most citedMoore-Gibson-Thompson equation with memory, part I: exponential decay of energy

121 citations · 223 across the 29 of their papers we have counts for

collaborators
Showing 2015Show all

5 papers · 1 filter

math.AP2015★ 1 cited

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…

math.AP2015★ 2 cited

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…

math.AP2015

Feedback stabilization of a fluttering panel in an inviscid subsonic potential flow

Irena Lasiecka, Justin T. Webster

Asymptotic-in-time feedback control of a panel interacting with an inviscid, subsonic flow is considered. The classical model [22] is given by a clamped nonlinear plate strongly co…

math.AP2015★ 8 cited

Moore-Gibson-Thompson equation with memory, part II: general decay of energy

Irena Lasiecka, Xiaojun Wang

We study a temporally third order (Moore-Gibson-Thompson) equation with a memory term. Previously it is known that, in non-critical regime, the global solutions exist and the energ…

math.AP2015★ 121 cited

Moore-Gibson-Thompson equation with memory, part I: exponential decay of energy

Irena Lasiecka, Xiaojun Wang

We are interested in the Moore-Gibson-Thompson(MGT) equation with memory \begin{equation}\nonumber τu_{ttt}+ αu_{tt}+c^2\A u+b\A u_t -\int_0^tg(t-s)\A w(s)ds=0. \end{equation} We f…