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2 results on '"Benramdane, Amina"'

1. Blow-Up of Solution of Lamé Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms.

Author

Benramdane, Amina, Mezouar, Nadia, Bensaber, Fatna, Boulaaras, Salah, and Jan, Rashid

Subjects
INITIAL value problems, BOUNDARY value problems, PARTIAL differential equations, BLOWING up (Algebraic geometry), NONLINEAR wave equations, WAVE equation
Abstract

In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. In addition to this, we establish a blow-up result for the solution under the condition of non-positive initial energy. [ABSTRACT FROM AUTHOR]

Published
2023
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2. Blow-Up for a Stochastic Viscoelastic Lamé Equation with Logarithmic Nonlinearity.

Author

Benramdane, Amina, Mezouar, Nadia, Alqawba, Mohammed Sulaiman, Boulaaras, Salah Mahmoud, and Cherif, Bahri Belkacem

Subjects
BOUNDARY value problems, INITIAL value problems, EQUATIONS, NONLINEAR wave equations
Abstract

In this paper, we consider an initial boundary value problem of stochastic viscoelastic wave equation with nonlinear damping and logarithmic nonlinear source terms. We proved a blow-up result for the solution with decreasing kernel. [ABSTRACT FROM AUTHOR]

Published
2021
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