Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy

Autor: Loay Alkhalifa, Hanni Dridi, Khaled Zennir

Publikováno v: Journal of Function Spaces, Vol 2021 (2021)

This paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: utt−MNutΔp·u+gut=fu. This work generalizes the blow-up result of solutions with negative initial energy.

Externí odkaz: https://doaj.org/article/3473e91b392244da82b6475897bf6313

Stabilization of a Quantum Equation under Boundary Connections with an Elastic Wave Equation

Autor: Hanni Dridi

Publikováno v: Operator Theory-Recent Advances, New Perspectives and Applications
Operator Theory-Recent Advances, New Perspectives and Applications ISBN: 9781838809928

The stability of coupled PDE systems is one of the most important topic because it covers realistic modeling of the most important physical phenomena. In fact, the stabilization of the energy of partial differential equations has been the main goal i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7db51da5efd71dcc1ab8f9dc8ce169a5
https://mts.intechopen.com/articles/show/title/stabilization-of-a-quantum-equation-under-boundary-connections-with-an-elastic-wave-equation

Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy

Autor: Khaled Zennir, Hanni Dridi, Loay Alkhalifa

Publikováno v: Journal of Function Spaces, Vol 2021 (2021)

This paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: u t t − M N u t Δ p · u + g u t = f u . This work generalizes the blow-up result of solutions with negative ini

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8a79a9d231a40bfbd1e807a18a581b5
https://doi.org/10.1155/2021/5592918

Timoshenko system with fractional operator in the memory and spatial fractional thermal effect

Autor: Abdelhak Djebabla, Hanni Dridi

Publikováno v: Rendiconti del Circolo Matematico di Palermo Series 2. 70:593-621

We consider the differential system $$\begin{aligned}&\rho _{1}\varphi _{tt}-\kappa (\varphi _{xx}+\psi _{x})=0,\\&\rho _{2}\psi _{tt}-b\psi _{xx}+\kappa (\varphi _{x}+\psi )-\int _{0}^{\infty }h(s)A^{\sigma }\psi (t-s)ds +\delta \theta _{x}=0,\\&\rh

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::862f69153879946092b568f72c33bb4c
https://doi.org/10.1007/s12215-020-00513-6

Decay rate estimates for a new class of multidimensional nonlinear Bresse systems with time-dependent dissipations

Autor: Hanni Dridi

Publikováno v: Ricerche di Matematica.

This paper studies the existence of weak solutions and their asymptotic behaviour to the initial boundary value problem for a multidimensional nonlinear Bresse system. The existence of the solutions of the problem is obtained by appliying Galerkin me

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2139ed68d50c7801bf6e3edd382e0d1b
https://doi.org/10.1007/s11587-020-00554-0