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.

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Published

2017-02-03

Issue

Section

Mathematical Analysis

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://ejpam.com/index.php/ejpam/article/view/2759

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