Malaysian Journal of Mathematical Sciences, September 2024, Vol. 18, No. 3
Strong Solutions of Brusselator System
Khitam, A. H. A. and Al-Juaifri, G. A.
Corresponding Email: [email protected]
Received date: 16 March 2024
Accepted date: 20 May 2024
Abstract:
The study involves a mathematical analysis of the Brusselator system on a convex
bounded three-dimensional open domain, considering Neumann boundary conditions.
We establish the global existence and uniqueness of the strong solution for this system.
Achieving high regularity for the strong solution requires stringent conditions on the
initial data. The study demonstrates the continuous dependence of the solution on the
initial conditions.
Keywords: Brusselator system; existence; Faedo-Galerkin; Neumann boundary conditions; strong solution
