This paper deals with the global existence, uniqueness and boundedness of the weak solution for the chemotaxis system (P) defined as The system (P) is under homogeneous Dirichlet boundary conditions in a convex smooth bounded domain with smooth boundary Based on method, Lax -Milgran’s and maximum principle, a prove of the existence and uniqueness of a global solution for the system (P) is determined. Moreover we show that the unique solution is positive.

How to Cite
MESSIKH, A. GUESMIA, S. SAADI MESSIKHC, C.. Global Existence and Uniqueness of the Weak Solution in Keller Segel Model. Global Journal of Science Frontier Research, [S.l.], june 2014. ISSN 2249-4626. Available at: <https://journalofscience.org/index.php/GJSFR/article/view/1232>. Date accessed: 23 may 2022.