55 citations · 572 across the 31 of their papers we have counts for
4 papers · 1 filter
The influence of viscous dissipations on the nonlinear acoustic wave equation with second sound
Wenhui Chen, Yan Liu, Alessandro Palmieri +1
We study the effect of a viscous dissipation on the Cauchy problem for a Cattaneo-type model in nonlinear acoustics, established by applying the Lighthill approximation for the vis…
On a semilinear wave equation in anti-de Sitter spacetime: the critical case
Alessandro Palmieri, Hiroyuki Takamura
In the present paper we prove the blow-up in finite time for local solutions of a semilinear Cauchy problem associated with a wave equation in anti-de Sitter spacetime in the criti…
A note on blow-up results for semilinear wave equations in de Sitter and anti-de Sitter spacetimes
Alessandro Palmieri, Hiroyuki Takamura
In this work we derive some blow-up results for semilinear wave equations both in de Sitter and anti-de Sitter spacetimes. By requiring suitable conditions on a time-dependent fact…
A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type
Alessandro Palmieri, Hiroyuki Takamura
In this paper, we consider a weakly coupled system of a wave and damped Klein-Gordon equation with nonlinearities of derivative type. We prove a blow-up result for the Cauchy probl…