24 citations · 40 across the 10 of their papers we have counts for
14 papers
Continuous dependence results for quasilinear evolution equations
Francesco Cellarosi, Anirban Dutta, Giusy Mazzone
We study continuous dependence of solutions to quasilinear evolution equations of parabolic-type in the framework of maximal -regularity. For equations of the form \[ \frac{dϕ…
Trace regularity of solutions to the Navier equations
Jerin Tasnim Farin, Giusy Mazzone
We present results on the trace regularity of the stress vector on the boundary of an elastic solid satisfying the time-dependent, displacement-traction problem for the Navier equa…
Local well-posedness of the equations governing the motion of a fluid-filled elastic solid
Giusy Mazzone
We consider the fluid-structure interaction problem of a viscous incompressible fluid contained in an elastic solid whose motion is not prescribed. The equations governing the moti…
Asymptotic stability of solutions to semilinear evolution equations in Banach spaces
Francesco Cellarosi, Anirban Dutta, Giusy Mazzone
We prove a new linearization principle for the nonlinear stability of solutions to semilinear evolution equations of parabolic type. We assume that the set of equilibria forms a fi…
On periodic motions of a harmonic oscillator interacting with incompressible fluids
Giusy Mazzone, Mahdi Mohebbi
We consider a mass-spring system immersed in an incompressible fluid flow governed by the Navier-Stokes equations subject to a prescribed time-periodic flow rate (and possibly exte…
Stability and long-time behaviour of a rigid body containing a damper
Evan Arsenault, Giusy Mazzone
This paper provides a comprehensive analysis of stability and long-time behaviour of a coupled system constituted by two rigid bodies separated by a thin layer of lubricant. We sho…
On the free rotations of rigid bodies with a liquid-filled gap
Giusy Mazzone
We consider the system constituted by a hollow rigid body whose cavity contains a homogeneous rigid ball, and let the gap between the solids be entirely filled by a viscous incompr…
Nonlinear Stability Analysis of a Spinning Top with an Interior Liquid-Filled Cavity
Giovanni P. Galdi, Giusy Mazzone
Consider the motion of the the coupled system, , constituted by a (non-necessarily symmetric) top, , with an interior cavity, , completely fille…
Rough sound waves in compressible Euler flow with vorticity
Marcelo M. Disconzi, Chenyun Luo, Giusy Mazzone +1
We prove a series of results tied to the regularity and geometry of solutions to the compressible Euler equations with vorticity and entropy. Our framework exploits and reveal…
On the motion of a fluid-filled rigid body with Navier Boundary conditions
Giusy Mazzone, Jan Pruess, Gieri Simonett
We consider the inertial motion of a system constituted by a rigid body with an interior cavity entirely filled with a viscous incompressible fluid. Navier boundary conditions are…
A maximal regularity approach to the study of motion of a rigid body with a fluid-filled cavity
Giusy Mazzone, Jan Pruess, Gieri Simonett
We consider the inertial motion of a rigid body with an interior cavity that is completely filled with a viscous incompressible fluid. The equilibria of the system are characterize…
Stability and Long-Time Behavior of a Pendulum with an Interior Cavity Filled with a Viscous Liquid
Giovanni P. Galdi, Giusy Mazzone
We show asymptotic, exponential stability of the equilibrium configuration, $\smallL$, of a hollow physical pendulum with its inner part entirely filled with a viscous liquid, corr…
Inertial Motions of a Rigid Body with a cavity filled with a viscous liquid
Giovanni P. Galdi, Giusy Mazzone, Paolo Zunino
We study inertial motions of the coupled system, S, constituted by a rigid body containing a cavity that is completely filled with a viscous liquid. We show that for data of arbitr…
Behavior of bivariate interpolation operators at points of discontinuity of the first kind
Michele Campiti, Giusy Mazzone, Cristian Tacelli
We introduce an index of convergence for double sequences of real numbers. This index is used to describe the behaviour of some bivariate interpolation sequences at points of disco…