Search

Your search keyword '"HAMCHI, ILHEM"' showing total 2 results
Start Over Author "HAMCHI, ILHEM" Search Limiters Full Text Topic wave equation
2 results on '"HAMCHI, ILHEM"'

1. Exponential Decay Rate of the Perturbed Energy of the Wave Equation with Zero Order Term

Author

Hamchi Ilhem

Subjects
Zero order, Compact space, Mathematical analysis, General Medicine, Uniqueness, Exponential decay, Wave equation, Energy (signal processing), Mathematics, Term (time)
Abstract

In this paper, we consider the wave equation with zero order term. We use the compactness uniqueness argument and some result of I. Lasiecka and D. Tataru in [4] to prove, directly, the exponential decay rate of the perturbed energy.

Published
2011

2. EXISTENCE AND BLOW UP IN A SYSTEM OF WAVE EQUATIONS WITH NONSTANDARD NONLINEARITIES.

Author

MESSAOUDI, SALIM A., BOUHOUFANI, OULIA, HAMCHI, ILHEM, and ALAHYANE, MOHAMED

Subjects
*WAVE equation, *NONLINEAR equations, *EXISTENCE theorems, *BLOWING up (Algebraic geometry), *NONLINEAR systems, *ENERGY consumption, *LYAPUNOV exponents
Abstract

In this article, we consider a coupled system of two nonlinear hyperbolic equations, where the exponents in the damping and source terms are variables. First, we prove a theorem of existence and uniqueness of weak solution, by using the Faedo Galerkin approximations and the Banach fixed point theorem. Then, using the energy method, we show that certain solutions with positive initial energy blow up in finite time. We also give some numerical applications to illustrate our theoretical results. [ABSTRACT FROM AUTHOR]

Published
2021

Catalog

Books, media, physical & digital resources
See catalog results