一类新弹性体一维响应的不稳定性、不存在性和空间行为

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED IMA Journal of Applied Mathematics Pub Date : 2021-04-01 DOI:10.1093/imamat/hxab014

R Quintanilla;K R Rajagopal

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引用次数: 0

摘要

在这篇笔记中，我们考虑一类新的弹性体背景下的一维问题。在适当的条件下，我们证明了本构方程解的不稳定性和不存在性与线性化理论解的不存在性相似。最后一节致力于描述解的空间行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the instability, nonexistence and spatial behaviour of the one-dimensional response of a new class of elastic bodies

In this note we consider 1D problems within the context of a new class of elastic bodies. Under suitable conditions on the constitutive equations we prove instability and nonexistence of solutions similar to those in place for the linearized theory. The last section is devoted to describing the spatial behavior of the solutions.

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来源期刊

IMA Journal of Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

24 months

期刊介绍： The IMA Journal of Applied Mathematics is a direct successor of the Journal of the Institute of Mathematics and its Applications which was started in 1965. It is an interdisciplinary journal that publishes research on mathematics arising in the physical sciences and engineering as well as suitable articles in the life sciences, social sciences, and finance. Submissions should address interesting and challenging mathematical problems arising in applications. A good balance between the development of the application(s) and the analysis is expected. Papers that either use established methods to address solved problems or that present analysis in the absence of applications will not be considered. The journal welcomes submissions in many research areas. Examples are: continuum mechanics materials science and elasticity, including boundary layer theory, combustion, complex flows and soft matter, electrohydrodynamics and magnetohydrodynamics, geophysical flows, granular flows, interfacial and free surface flows, vortex dynamics; elasticity theory; linear and nonlinear wave propagation, nonlinear optics and photonics; inverse problems; applied dynamical systems and nonlinear systems; mathematical physics; stochastic differential equations and stochastic dynamics; network science; industrial applications.