A Lyapunov functional for a triangular reaction-diffusion system with nonlinearities of exponential growth

S. Abdelmalek; M. Kirane; A. Youkana

doi:10.1002/mma.2572

A Lyapunov functional for a triangular reaction-diffusion system with nonlinearities of exponential growth

S. Abdelmalek, M. Kirane, A. Youkana

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The aim of this work is to study the global existence of solutions to a triangular system of reaction-diffusion equations, which describes epidemiological or chemical situations. On the basis of the construction of a suitable Lyapunov functional, we show that for any initial data, classical global solutions exist even when the nonlinearities are of exponential growth.

Original language	British English
Pages (from-to)	80-85
Number of pages	6
Journal	Mathematical Methods in the Applied Sciences
Volume	36
Issue number	1
DOIs	https://doi.org/10.1002/mma.2572
State	Published - 15 Jan 2013

Keywords

global existence
Lyapunov functional
reaction-diffusion systems

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10.1002/mma.2572

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abstract = "The aim of this work is to study the global existence of solutions to a triangular system of reaction-diffusion equations, which describes epidemiological or chemical situations. On the basis of the construction of a suitable Lyapunov functional, we show that for any initial data, classical global solutions exist even when the nonlinearities are of exponential growth.",

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AU - Kirane, M.

AU - Youkana, A.

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AB - The aim of this work is to study the global existence of solutions to a triangular system of reaction-diffusion equations, which describes epidemiological or chemical situations. On the basis of the construction of a suitable Lyapunov functional, we show that for any initial data, classical global solutions exist even when the nonlinearities are of exponential growth.

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A Lyapunov functional for a triangular reaction-diffusion system with nonlinearities of exponential growth

Abstract

Keywords

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