Browsing by Author "Mesbahi Salim"

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    Mathematical analysis of a generic reaction diffusion model applied in medical imaging
    (University Of Eloued جامعة الوادي, 2020-02-23) Kadem Houssem Eddine.; Mesbahi Salim
    This paper provides the existence of a global solution to a generic reaction di¤usion system. We show the existence of a global weak solution to the considered system in the case of quasi- positivity and a triangular structure condition on the nonlinear- ities. Application examples of our results are presented on new models of biology.
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    Modeling and mathematical analysis of a reaction diffusion model applied in engineering
    (University Of Eloued جامعة الوادي, 2020-02-23) Redjouh Mounir; Mesbahi Salim
    In this paper, we show the existence of continuous positive so- lutions of a class of nonlinear parabolic reaction di¤usion systems with initial conditions using techniques of functional analysis and potential analysis.
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    On the existence of positive solutions of a degenerate reaction diffusion model applied in ecology
    (University Of Eloued جامعة الوادي, 2020-02-23) Saffidine Khaoula Imane; Mesbahi Salim
    The aim of this paper is to show the existence, uniqueness, and asymptotic behavior of time-dependent solutions. Also in- vestigated is the existence of positive maximal and minimal so- lutions of the corresponding quasilinear elliptic system. The el- liptic operators in both systems are allowed to be degenerate in the sense that the density-dependent di¤usion coe¢ cients Di (ui) may have the property Di (0) = 0 for some or all i = 1; ...N, and the boundary condition is ......... Using the method of up- per and lower solutions, we show that a unique global classical time-dependent solution exists and converges to the maximal so- lution for one class of initial functions and it converges to the minimal solution for another class of initial functions; and if the maximal and minimal solutions coincide then the steady-state solution is unique and the time-dependent solution converges to the unique solution.