4 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{dÏ…
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…