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Smooth Attractors Of Finite Dimension For Von Karman Evolutions With Nonlinear Frictional Damping Localized In A Boundary Layer
(Academic Press Inc Elsevier Science, 2013)
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 types of nonlinear damping are well known, ...
Qualitative Results on the Dynamics of A Berger Plate with Nonlinear Boundary Damping
(Pergamon-Elsevier Science Ltd, 2016)
The dynamics of a (nonlinear) Berger plate in the absence of rotational inertia are considered with inhomogeneous boundary conditions. In our analysis, we consider boundary damping in two scenarios: (i) free plate boundary ...
Exponential Attractors For Abstract Equations With Memory And Applications To Viscoelasticity
(Amer Inst Mathematical Sciences-Aims, 2015)
We consider an abstract equation with memory of the form partial derivative(t)x(t) + integral(infinity)(0) k(s)Ax(t-s)ds + Bx(t) = 0 where A, B are operators acting on some Banach space, and the convolution kernel k is a ...
Semigroup Well-Posedness Of A Linearized, Compressible Fluid With An Elastic Boundary
(Amer Inst Mathematical Sciences-Aims, 2018)
We address semigroup well-posedness of the fluid-structure interaction of a linearized compressible, viscous fluid and an elastic plate (in the absence of rotational inertia). Unlike existing work in the literature, we ...