Existence and uniqueness of solution for the nonlinear Brusselator system with Robin boundary conditions

被引：1

作者：

Al-Juaifri, Ghassan A. ^{[1
,2
]}

Harfash, Akil J. ^{[1
]}

机构：

[1] Univ Basrah, Coll Sci, Dept Math, Basrah, Iraq

[2] Univ Kufa, Fac Comp Sci & Math, Dept Math Sci, Kufa, Iraq

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2024年 / 31卷 / 03期

关键词：

Existence; uniqueness; Faedo-Galerkin; Robin boundary conditions; Brusselator system; weak solution; strong solution; MULTIPLE SOLUTIONS; ELLIPTIC PROBLEMS;

D O I：

10.1515/gmj-2023-2091

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The system of Brusselator-type reaction-diffusion equations (RDs) on open bounded convex domains D subset of R-d (d <= 3) with Robin boundary conditions (Rbcs) has been mathematically analyzed. The Faedo-Galerkin approach is used to demonstrate the global existence and uniqueness of a weak solution to the system. The weak solution's higher regularity findings are constructed under more regular conditions on the initial data. In addition, continuous dependence on the initial conditions has been proved.

引用

页码：355 / 368

页数：14

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