744 citations · 6.7k across the 128 of their papers we have counts for
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Improved boundary regularity for a Stokes-Lamé system
Francesca Bucci
This paper recalls a partial differential equations system, which is the linearization of a recognized fluid-elasticity interaction three-dimensional model. A collection of regular…
The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation
Francesca Bucci, Matthias Eller
The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation is analyzed. With the focus on non-homogeneous boundary data, two approaches are offered: one is based on the th…
On the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memory
Francesca Bucci, Luciano Pandolfi
We undertake a regularity analysis of the solutions to initial/boundary value problems for the (third-order in time) Moore-Gibson-Thompson (MGT) equation. The key to the present in…
Exponential decay properties of a mathematical model for a certain fluid-structure interaction
George Avalos, Francesca Bucci
In this work, we derive a result of exponential stability for a coupled system of partial differential equations (PDEs) which governs a certain fluid-structure interaction. In part…
Spectral analysis and rational decay rates of strong solutions to a fluid-structure PDE system
George Avalos, Francesca Bucci
In this paper, we consider the problem of obtaining rational decay for a particular time-evolving fluid-structure model, the type of which has been considered in Chueshov and Ryzhk…
Regularity of boundary traces for a fluid-solid interaction model
Francesca Bucci, Irena Lasiecka
We consider a mathematical model for the interactions of an elastic body fully immersed in a viscous, incompressible fluid. The corresponding composite PDE system comprises a linea…