55 citations · 572 across the 31 of their papers we have counts for
31 papers
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…
On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity
Alessandro Palmieri
In this note, we derive a blow-up result for a semilinear generalized Tricomi equation with damping and mass terms having time-dependent coefficients. We consider these coefficient…
Asymptotic behaviors for Blackstock's model of thermoviscous flow
Wenhui Chen, Ryo Ikehata, Alessandro Palmieri
We study a fundamental model in nonlinear acoustics, precisely, the general Blackstock's model (that is, without Becker's assumption) in the whole space . This model…
Blow-up and lifespan estimates for a damped wave equation in the Einstein-de Sitter spacetime with nonlinearity of derivative type
Makram Hamouda, Mohamed Ali Hamza, Alessandro Palmieri
In this article, we investigate the blow-up for local solutions to a semilinear wave equation in the generalized Einstein - de Sitter spacetime with nonlinearity of derivative type…
A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime
Makram Hamouda, Mohamed Ali Hamza, Alessandro Palmieri
In this paper, we establish blow-up results for the semilinear wave equation in generalized Einstein-de Sitter spacetime with nonlinearity of derivative type. Our approach is based…
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity
Wenhui Chen, Sandra Lucente, Alessandro Palmieri
In the present paper, we investigate the blow-up dynamics for local solutions to the semilinear generalized Tricomi equation with combined nonlinearity. As a result, we enlarge the…
Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime
Alessandro Palmieri
We prove by using an iteration argument some blow-up results for a semilinear damped wave equation in generalized Einstein-de Sitter spacetime with a time-dependent coefficient for…
Lifespan estimates for local solutions to the semilinear wave equation in Einstein-de Sitter spacetime
Alessandro Palmieri
In this paper, we prove some blow-up results for the semilinear wave equation in generalized Einstein-de Sitter spacetime by using an iteration argument and we derive upper bound e…
A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type
Sandra Lucente, Alessandro Palmieri
In this note, we prove a blow-up result for a semilinear generalized Tricomi equation with nonlinear term of derivative type, i.e., for the equation $\mathscr{T}_{\!\!\ell} u = |\p…
On the blow-up of solutions to semilinear damped wave equations with power nonlinearity in compact Lie groups
Alessandro Palmieri
In this note, we prove a blow-up result for the semilinear damped wave equation in a compact Lie group with power nonlinearity for any , under suitable integral sign a…
A global existence result for a semilinear wave equation with lower order terms on compact Lie groups
Alessandro Palmieri
In this paper, we study the semilinear wave equation with lower order terms (damping and mass) and with power type nonlinearity on compact Lie groups. We will prove the glo…
Semilinear wave equation on compact Lie groups
Alessandro Palmieri
In this note, we study the semilinear wave equation with power nonlinearity on compact Lie groups. First, we prove a local in time existence result in the energy space via…
A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case
Wenhui Chen, Alessandro Palmieri
In this paper, we study the blow-up of solutions to the semilinear Moore-Gibson-Thompson (MGT) equation with nonlinearity of derivative type in the conservative case. We…
Nonexistence of global solutions for the semilinear Moore-Gibson-Thompson equation in the conservative case
Wenhui Chen, Alessandro Palmieri
In this work, the Cauchy problem for the semilinear Moore-Gibson-Thompson (MGT) equation with power nonlinearity on the right-hand side is studied. Applying estim…
Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity
Vladimir Georgiev, Alessandro Palmieri
In this paper, we consider the Cauchy problem for the semilinear damped wave equation on the Heisenberg group with power nonlinearity. We prove that the critical exponent is the Fu…
Decay estimates for the linear damped wave equation on the Heisenberg group
Alessandro Palmieri
This paper is devoted to the derivation of - decay estimates for the solution of the homogeneous linear damped wave equation on the Heisenberg group , for…
Lifespan estimates for local in time solutions to the semilinear heat equation on the Heisenberg group
Vladimir Georgiev, Alessandro Palmieri
In this paper we consider the semilinear Cauchy problem for the heat equation with power nonlinearity in the Heisenberg group . The heat operator is given in this cas…
Integral representation formulae for the solution of a wave equation with time-dependent damping and mass in the scale-invariant case
Alessandro Palmieri
This paper is devoted to derive integral representation formulae for the solution of an inhomogeneous linear wave equation with time-dependent damping and mass terms, that are scal…
A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type
Alessandro Palmieri, Ziheng Tu
In this note, we prove blow-up results for semilinear wave models with damping and mass in the scale-invariant case and with nonlinear terms of derivative type. We consider the sin…
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms
Alessandro Palmieri, Hiroyuki Takamura
In this paper we consider the blow-up of solutions to a weakly coupled system of semilinear damped wave equations in the scattering case with nonlinearities of mixed type, namely,…
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case
Alessandro Palmieri, Hiroyuki Takamura
In this paper we consider the blow-up for solutions to a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case. After introducing suit…