Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

On the Existence and Uniqueness of the Solution of Pollutants Transport Problem in a River

Download PDF (508.4 KB) PP. 35 - 39 Pub. Date: January 2, 2020

DOI: 10.22606/jaam.2020.51005

Author(s)

  • L. Patricia Mouamba*
    Department of Mathematics and Computer Science, Marien N’Gouabi University, Congo
  • C. S. Ngamouyih Moussata
    Department of Mathematics and Computer Science, Marien N’Gouabi University, Congo
  • Benjamin Mampassi
    Department of Mathematics and Computer Science, Marien N’Gouabi University, Congo
  • H. Nkounkou
    Department of Mathematics and Computer Science, Marien N’Gouabi University, Congo

Abstract

In this paper, we examine a problem of pollutant transport described by a nonlinear parabolic Partial differential equation (PDE) on a planar domain with obstacles.We then establish an existence and uniqueness result for this corresponding problem with Neumann.boundary conditions.

Keywords

Nonlinear parabolic partial differential equation, pollutant transport, planar domain

References

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[2] Temga D., and Mampassi B, "On a mathematical investigation of a sedimentation model of lakes", Int. J. Appl. Math. 28, no. 4, 455–466 (2015).

[3] Wu J., "Theory and Applications of Partial Differential Equations", Springer Verlag, New York(1996).

[4] Lawrence C.Evans , "Partial Differential Equations", Gratuate studies in Mathematics Volume 19 , American society , Rhode. Island(1998).

[5] Lihe Wang , Shulin Zhou , "Existence and Uniqueness of Weak Solutions for A Nonlinear Parabolic Equation Related to Image Analysis", J.partial differential equation 19 (2006) , no 2 , 97-112.