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

[41] EXISTENCE AND UNIQUENESS FOR NONLINEAR BOUNDARY VALUE PROBLEMS
SHAMPINE, LF
JOURNAL OF DIFFERENTIAL EQUATIONS, 1969, 5 (02) : 346 - +
[42] EXISTENCE AND UNIQUENESS FOR A NONLINEAR BOUNDARY-PROBLEM
ZHENG, SM
KEXUE TONGBAO, 1986, 31 (11): : 786 - 787
[43] On the Existence and Uniqueness of a Positive Solution to a Boundary Value Problem with Integral Boundary Conditions for a Second-Order Nonlinear Functional Differential Equation
G. E. Abduragimov
Russian Mathematics, 2024, 68 (12) : 33 - 39
[44] Existence of nonlinear boundary layer solution to the Boltzmann equation with physical boundary conditions
Tian, Qianzhu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (01) : 42 - 59
[45] The existence and uniqueness of positive solution for nonlinear singular fractional differential equations with integro-differential boundary value conditions
Wang, Wen
Zhang, Lingling
2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC), 2021, : 93 - 98
[46] THE EXISTENCE, UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTION FOR A CLASS OF NONLINEAR SYSTEM
方聪娜
王全义
Annals of Differential Equations, 2004, (04) : 349 - 354
[47] Existence and Uniqueness for Riemannian Cubics with Boundary Conditions
Camarinha, Margarida
Leite, Fatima Silva
Crouch, Peter
CONTROLO 2020, 2021, 695 : 322 - 331
[48] Entropy Solution for Doubly Nonlinear Elliptic Anisotropic Problems with Robin Boundary Conditions
Ibrango, I.
Ouaro, S.
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 2015
[49] Asymptotics and Uniqueness of Solutions of the Elasticity System with the Mixed Dirichlet-Robin Boundary Conditions
Matevossian, Hovik A.
MATHEMATICS, 2020, 8 (12) : 1 - 31
[50] On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation
M. V. Nikolaev
A. A. Nikitin
Doklady Mathematics, 2019, 100 : 485 - 487

← 1 2 3 4 5 →