Continuity Of The Blow-Up Time For A Nonlinear Convection In Reaction-Diffusion Equation

In this paper, we consider a nonlinear convection reaction diffusion equation. Under some assumptions, we show that the solution of the problem blows up in a finite time and we estimate its blow-up time. We also prove the continuity of the blow-up time with respect to the initial datum.

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Publication Details

Journal
Trends in Computational and Applied Mathematics
Published
2025-04-17
DOI
https://doi.org/10.5540/tcam.2025.026.e01776
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

Continuity Of The Blow-Up Time For A Nonlinear Convection In Reaction-Diffusion Equation

R. K. Kouakou, Firmin K. N’gohissé
Trends in Computational and Applied Mathematics
Differential Equations and Numerical Methods
article

Continuity Of The Blow-Up Time For A Nonlinear Convection In Reaction-Diffusion Equation

R. K. Kouakou, Firmin K. N’gohissé
article en

Abstract

In this paper, we consider a nonlinear convection reaction diffusion equation. Under some assumptions, we show that the solution of the problem blows up in a finite time and we estimate its blow-up time. We also prove the continuity of the blow-up time with respect to the initial datum.

Trends in Computational and Applied MathematicsVol. 26(1)
Université Nangui Abrogoua (CI), Université Pelefero Gon Coulibaly (CI)
Openalex Percentile: Top 86%
Differential Equations and Numerical Methods
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