Global Existence of Solutions for a System Modelling Electromigration of Ions Through Biological Cell Membranes with L1 Data

Authors

  • Noureddine Alaa Universite Cadi Ayyad Faculte des Sciences et Techniques de Marrakech Laboratoire de Mathematiques Appliquees et Informatique
  • Fatima Aqel Universite Cadi Ayyad Faculte des Sciences et Techniques de Marrakech Laboratoire de Mathematiques Appliquees et Informatique

Keywords:

Reaction diffusion, globale existence, L1 data, Truncated function, supersolution and subsolution

Abstract

The aim of this work is to show the existence of weak solutions and supersolutions for a nonlinear system modelling Ions migration through biological cells membranes with L1- Data. In the first step, we describe the mathematical model after that we define an approximating scheme.
Under simplifying assumptions on the model equation, we prove some L1 a priori estimates, then we prove that the solution of the truncated system converges to the solution of our main problem.

Downloads

Published

2017-02-03

Issue

Vol. 10 No. 2: (January 2017)

Section

Mathematical Analysis

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Global Existence of Solutions for a System Modelling Electromigration of Ions Through Biological Cell Membranes with L1 Data. (2017). European Journal of Pure and Applied Mathematics, 10(2), 272-294. https://www.ejpam.com/index.php/ejpam/article/view/2759