17 citations · 17 across the 5 of their papers we have counts for
5 papers
A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Post-flutter Regimes
Jason Howell, Daniel Toundykov, Justin T. Webster
We consider a cantilevered (clamped-free) beam in an axial potential flow. Certain flow velocities may bring about a bounded-response instability in the structure, termed {\em flut…
Stability analysis of degenerately-damped oscillations
Thomas Anderson, George Avalos, Elizabeth Galvin +4
Presented here is a study of well-posedness and asymptotic stability of a "degenerately damped" PDE modeling a vibrating elastic string. The coefficient of the damping may vanish a…
A nonlocal biharmonic operator and its connection with the classical analogue
Petronela Radu, Daniel Toundykov, Jeremy Trageser
We introduce here a nonlocal operator as a natural generalization to the biharmonic operator that appears in plate theory. This operator is built in the nonlocal calculus framework…
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping
Yanqiu Guo, Mohammad A. Rammaha, Sawanya Sakuntasathien +2
Presented here is a study of a viscoelastic wave equation with supercritical source and damping terms. We employ the theory of monotone operators and nonlinear semigroups, combined…
Finite dimensional attractor for a composite system of wave/plate equations with localised damping
Francesca Bucci, Daniel Toundykov
The long-term behaviour of solutions to a model for acoustic-structure interactions is addressed; the system is comprised of coupled semilinear wave (3D) and plate equations with n…