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

共 50 条

[1] Analysis of a nonlinear reaction-diffusion system of the Fitzhugh-Nagumo type with Robin boundary conditions
Al-Juaifri, Ghassan A.
Harfash, Akil J.
RICERCHE DI MATEMATICA, 2023, 72 (01) : 335 - 357
[2] Analysis of a nonlinear reaction-diffusion system of the Fitzhugh-Nagumo type with Robin boundary conditions
Ghassan A. Al-Juaifri
Akil J. Harfash
Ricerche di Matematica, 2023, 72 : 335 - 357
[3] EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEM
Zhang Xiuyun Kou Chunhai (Dept. of Applied Math.
Annals of Applied Mathematics, 2006, (03) : 467 - 472
[4] Existence, boundedness and uniqueness of weak solution for the thermistor problem with mixed boundary conditions
Ping, G
ACTA MATHEMATICA SCIENTIA, 1998, 18 (03) : 326 - 332
[5] THE EXISTENCE, UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTION FOR A CLASS OF NONLINEAR SYSTEM
方聪娜
王全义
Annals of Applied Mathematics, 2004, (04) : 349 - 354
[6] CONDITIONS FOR THE EXISTENCE AND UNIQUENESS OF THE SOLUTION OF NONLINEAR SINGULAR INTEGRAL EQUATION
赵达夫
四川师范大学学报(自然科学版), 1991, (01) : 97 - 98
[7] UNIQUENESS OF POSITIVE SOLUTIONS FOR A CLASS OF NONLINEAR ELLIPTIC EQUATIONS WITH ROBIN BOUNDARY CONDITIONS
Hai, D. D.
Shivaji, Ratnasingham
Wang, Xiao
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2025, 24 (02) : 255 - 263
[8] EXISTENCE AND UNIQUENESS RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Derbazi, Choukri
Hammouche, Hadda
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 13 (03): : 341 - 361
[9] EXISTENCE AND UNIQUENESS RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Derbazi, Choukri
Hammouche, Hadda
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 14 (01): : 141 - 162
[10] Local existence result in time for a drift-diffusion system with Robin boundary conditions
Heibig, Arnaud
Petrov, Adrien
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (06):

← 1 2 3 4 5 →