3 papers
math.AP2023
Abstract damped wave equations: The optimal decay rate
Filippo Dell'Oro, Lorenzo Liverani, Vittorino Pata
The exponential decay rate of the semigroup generated by the abstract damped wave equation is here addressed, where is…
math.AP2022
A hierarchy of heat conduction laws
Filippo Dell'Oro, Vittorino Pata
The purpose of this work is to produce a family of equations describing the evolution of the temperature in a rigid heat conductor. This is obtained by means of successive approxim…
math.AP2016
Steady states of elastically-coupled extensible double-beam systems
Filippo Dell'Oro, Claudio Giorgi, Vittorino Pata
Given and , we analyze an abstract version of the nonlinear stationary model in dimensionless form $$\begin{cases} u"" - \Big(β+ \varrho\int_0^1 |u'(s…