On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation

On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation

Assuming that the initial value v0(x) belongs to the space H1(R), we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C([0,∞)×R)⋂‍L∞([0,∞);H1(R)). The limit of the viscous approximation for the equation is used to establish the existen...

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Bibliographic Details
Main Authors: Haibo Yan, Ls Yong, Yu Yang, Yang Wang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/264162
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spelling doaj-f33c6cb2443b40f5b268ef02bc243a5e2020-11-24T21:47:08ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/264162264162On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave EquationHaibo Yan0Ls Yong1Yu Yang2Yang Wang3Department of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaDepartment of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaDepartment of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaDepartment of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaAssuming that the initial value v0(x) belongs to the space H1(R), we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C([0,∞)×R)⋂‍L∞([0,∞);H1(R)). The limit of the viscous approximation for the equation is used to establish the existence.http://dx.doi.org/10.1155/2014/264162
collection DOAJ
language English
format Article
sources DOAJ
author Haibo Yan
Ls Yong
Yu Yang
Yang Wang
spellingShingle Haibo Yan
Ls Yong
Yu Yang
Yang Wang
On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation
Journal of Applied Mathematics
author_facet Haibo Yan
Ls Yong
Yu Yang
Yang Wang
author_sort Haibo Yan
title On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation
title_short On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation
title_full On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation
title_fullStr On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation
title_full_unstemmed On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation
title_sort on the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description Assuming that the initial value v0(x) belongs to the space H1(R), we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C([0,∞)×R)⋂‍L∞([0,∞);H1(R)). The limit of the viscous approximation for the equation is used to establish the existence.
url http://dx.doi.org/10.1155/2014/264162
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AT yuyang ontheexistenceofglobalweaksolutionsforaweaklydissipativehyperelasticrodwaveequation
AT yangwang ontheexistenceofglobalweaksolutionsforaweaklydissipativehyperelasticrodwaveequation
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