International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Global Existence and Uniqueness of the Weak Solution in Thixotropic Model

  • Amira Rahai
  • Amar Guesmia1*
  1. University of 20 AUGST 1955 SKIKDA . DEPARTMENT OF MATHEMATICS .

* Corresponding author

Abstract

In this paper, we study global existence, uniqueness and boundedness of the weak solution for the system (P) which is formulated by two subsystems (P1) and (P2), the first describes the thixotropic problem and the second describes the diffusion degradation of c, using Galerkin's method, Lax-Milgran's and maximum principle. Moreover we show that the unique solution is positive.

How to Cite

A. Rahai, A. Guesmia, Global Existence and Uniqueness of the Weak Solution in Thixotropic Model, Int. J. Anal. Appl. 19 (2021), 193–204. https://doi.org/10.28924/2291-8639-19-2021-193

BibTeX
@article{Rahai2021,
  author  = {Rahai, Amira and Guesmia, Amar},
  title   = {Global Existence and Uniqueness of the Weak Solution in Thixotropic Model},
  journal = {Int. J. Anal. Appl.},
  volume  = {19},
  year    = {2021},
  pages   = {193--204},
  doi     = {10.28924/2291-8639-19-2021-193}
}

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