Global Existence of Weak Solutions to a Three-dimensional Fractional Model in Magneto-Elastic Interactions

被引：0

作者：

El Idrissi, Mohamed ^{[1
]}

Essoufi, El-Hassan ^{[2
]}

机构：

[1] Hassan First University of Settat, FST, MISI Lab, Settat, Morocco

[2] Hassan First University of Settat, FST, MISI Lab, Settat, Morocco

来源：

IAENG International Journal of Applied Mathematics | 2024年 / 54卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O24 [计算数学];

学科分类号：

070102 ;

摘要：

This paper delves into the global existence of weak solutions for a three-dimensional magnetoelastic interaction model. This model combines a fractional harmonic map heat flow with an evolution equation for displacement. By using the Faedo-Galerkin method, we successfully establish the global existence of weak solutions for this coupled system. © (2024), (International Association of Engineers). All Rights Reserved.

引用

页码：722 / 729

共 50 条

[31] Global existence of the three-dimensional viscous quantum magnetohydrodynamic model [J].

Yang, Jianwei ;

Ju, Qiangchang .

JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (08)

[32] GLOBAL EXISTENCE AND UNIQUENESS OF A THREE-DIMENSIONAL MODEL OF CELLULAR ELECTROPHYSIOLOGY [J].

Matano, Hiroshi ;

Mori, Yoichiro .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 29 (04) :1573-1636

[33] On the existence of globally defined weak solutions to three-dimensional compressible magneto-micropolar fluids with discontinuous initial data and vacuum [J].

Zhang, Mingyu .

JOURNAL OF MATHEMATICAL PHYSICS, 2025, 66 (01)

[34] Global existence of weak solutions to an angiogenesis model [J].

N. Aïssa ;

R. Alexandre .

Journal of Evolution Equations, 2016, 16 :877-894

[35] Global existence of weak solutions to an angiogenesis model [J].

Aissa, N. ;

Alexandre, R. .

JOURNAL OF EVOLUTION EQUATIONS, 2016, 16 (04) :877-894

[36] Existence of weak solutions to the three-dimensional steady compressible Navier-Stokes equations [J].

Jiang, Song ;

Zhou, Chunhui .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2011, 28 (04) :485-498

[37] Existence of weak solutions to the elastic string equations in three dimensions [J].

Reiff, AM .

QUARTERLY OF APPLIED MATHEMATICS, 2002, 60 (03) :401-424

[38] Global weak solutions of a three-dimensional flow model for a multi-species mixture in porous media [J].

Amirat, Y ;

Peng, YJ .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1998, 21 (11) :1035-1048

[39] Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations [J].

Zhaoyang Shang ;

Fuquan Tang .

Journal of Inequalities and Applications, 2020

[40] Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations [J].

Shang, Zhaoyang ;

Tang, Fuquan .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)

← 1 2 3 4 5 →