Well-posedness of the equations governing the motions of a one-dimensional hybrid thermo-elastic structure

被引：1

作者：

Dalsen, MGV ^{[1
]}

机构：

[1] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2005年 / 28卷 / 04期

关键词：

thermo-elastic beam; hybrid structure; non-linear; Faedo-Galerkin; existence and uniqueness;

D O I：

10.1002/mma.576

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a model for the vibrations of a one-dimensional hybrid thermo-elastic structure consisting of an extensible thermo-elastic beam which is hinged at one end, with a rigid body attached to its free end, is studied with a view to establishing the existence of a unique solution in a weak sense. The model takes account of the effect of stretching on bending and rotational inertia. By treating eigenvalue problems with the spectral parameter also in the boundary conditions, we are able to employ the method of Faedo-Galerkin approximations. Copyright (C) 2004 John Wiley Sons, Ltd.

引用

页码：443 / 455

页数：13

共 50 条

[31] LOW REGULARITY WELL-POSEDNESS FOR THE ONE-DIMENSIONAL DIRAC-KLEIN-GORDON SYSTEM
Pecher, Hartmut
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[32] Global well-posedness for the three dimensional compressible micropolar equations
Liang, Tao
Li, Yongsheng
Zhai, Xiaoping
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, 81
[33] Global well-posedness of the Cauchy problem for the equations of a one-dimensional viscous heat-conducting gas with Lebesgue initial data
Jiang, S
Zlotnik, A
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2004, 134 : 939 - 960
[34] On the well-posedness of dispersive-dissipative one dimensional equations with non decaying initial data
Abdallah, May
MONATSHEFTE FUR MATHEMATIK, 2024, 203 (02): : 267 - 311
[35] WELL-POSEDNESS FOR ONE-DIMENSIONAL ANISOTROPIC CAHN-HILLIARD AND ALLEN-CAHN SYSTEMS
Makki, Ahmad
Miranville, Alain
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[36] Modified low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system
Pecher, Hartmut
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2008, 15 (03): : 279 - 294
[37] Modified low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system
Hartmut Pecher
Nonlinear Differential Equations and Applications NoDEA, 2008, 15 : 279 - 294
[38] Global well-posedness of the one-dimensional cubic nonlinear Schrodinger equation in almost critical spaces
Oh, Tadahiro
Wang, Yuzhao
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (01) : 612 - 640
[39] Finite element method to a generalized one-dimensional thermo-elastic coupled problem subject to a thermal shock
He, Tian-Hu
Guan, Ming-Zhi
Gongcheng Lixue/Engineering Mechanics, 2010, 27 (06): : 35 - 39
[40] Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamic equations
Liu, Hui
Lin, Lin
Sun, Chengfeng
APPLICABLE ANALYSIS, 2023, 102 (14) : 3971 - 3985

← 1 2 3 4 5 →