Blow-up and lifespan estimates for a damped wave equation in the Einstein–de Sitter spacetime with nonlinearity of derivative type

M Hamouda, MA Hamza, A Palmieri - Nonlinear Differential Equations and …, 2022 - Springer
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. More …

A blow-up result for the wave equation with localized initial data: the scale-invariant damping and mass term with combined nonlinearities

M Hamouda, MA Hamza - arXiv preprint arXiv:2010.05455, 2020 - arxiv.org
We are interested in this article in studying the damped wave equation with localized initial
data, in the\textit {scale-invariant case} with mass term and two combined nonlinearities …

Nonexistence of global solutions for a Euler–Poisson–Darboux–Tricomi equation with combined nonlinearity

Y Li, T He, Y Qiao - Applicable Analysis, 2024 - Taylor & Francis
We investigate the nonexistence of nontrivial solutions to a semilinear Euler–Poisson–
Darboux–Tricomi equation with combined nonlinearity and provide the lifespan estimate …

Blow-up result for a weakly coupled system of wave equations with a scale-invariant damping, mass term and time derivative nonlinearity

MFB Hassen, M Hamouda, MA Hamza - arXiv preprint arXiv:2306.14768, 2023 - arxiv.org
We study in this article the blow-up of solutions to a coupled semilinear wave equations
which are characterized by linear damping terms in the\textit {scale-invariant regime}, time …

The Blow-Up of Solutions to the Cauchy Problem of Semilinear Tricomi Equations with Damping and Mass Terms

M Sen, X Fan, X Wu - Mathematics, 2024 - search.proquest.com
This paper is related to the blow-up results of solutions to the Cauchy problem of semilinear
generalized Tricomi equations, which contain a scale-invariant damping term and a mass …

Global existence for wave equations with scale-invariant time-dependent damping and time derivative nonlinearity

AZ Fino, MA Hamza - arXiv preprint arXiv:2409.13353, 2024 - arxiv.org
This paper addresses the Cauchy problem for wave equations with scale-invariant time-
dependent damping and nonlinear time-derivative terms, modeled as $$\partial_ {t}^ 2u …

Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation

Y Li, F Guo - arXiv preprint arXiv:2502.02084, 2025 - arxiv.org
In this paper, we begin by establishing local well-posedness for the semilinear regular Euler-
Poisson-Darboux-Tricomi equation. Subsequently, we derive a lifespan estimate with the …

[PDF][PDF] Blow-up of solutions for coupled wave equations with damping terms and derivative nonlinearities

S Ming, X Wang, X Fan, X Wu - AIMS Mathematics, 2024 - aimspress.com
This work was concerned with the weakly coupled system of semi-linear wave equations
with time dependent speeds of propagation, damping terms, and derivative nonlinear terms …

Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗

J Yang, S Ming, W Han, J Du - Discrete Dynamics in Nature and …, 2022 - Wiley Online Library
The main purpose of this paper is to study the formation of singularity for a coupled system of
wave equations with damping terms, negative mass terms, and divergence form …

On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity

A Palmieri - arXiv preprint arXiv:2105.09879, 2021 - arxiv.org
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 …