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Topological Methods in Nonlinear Analysis

Global existence for reaction-diffusion systems modeling ions electro-migration through biological membranes with mass control and critical growth with respect to the gradient
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Global existence for reaction-diffusion systems modeling ions electro-migration through biological membranes with mass control and critical growth with respect to the gradient

Authors

  • Bassam Al-hamzah
  • Naji Yebari

Keywords

Global solutions, nonlinear parabolic, reaction-diffusion systems, Schauders fixed point

Abstract

This paper studies the existence of global weak solutions for reaction-diffusion systems depending on two main assumptions: the non-negative of solutions and the total mass of components are preserved with time, the non-linearities have critical growth with respect to the gradient. This work is a generalization of the work developed by Alaa and Lefraich \cite{1} without the presence of the gradient in the kinetic reaction terms.

References

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Published

2019-02-16

How to Cite

1.
AL-HAMZAH, Bassam and YEBARI, Naji. Global existence for reaction-diffusion systems modeling ions electro-migration through biological membranes with mass control and critical growth with respect to the gradient. Topological Methods in Nonlinear Analysis. Online. 16 February 2019. Vol. 53, no. 1, pp. 225 - 256. [Accessed 5 July 2025].
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