Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics

Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics

We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic elastic systems is established.

Bibliographic Details
Main Authors: Yuri Bozhkov, Peter J. Olver
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-06-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Pohozhaev identity
Navier's equations
Noether's theorem
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.055
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spelling doaj-04b88343f28f460794122e21dca0b6d82020-11-24T23:09:37ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-06-017055Pohozhaev and Morawetz Identities in Elastostatics and ElastodynamicsYuri BozhkovPeter J. OlverWe construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic elastic systems is established.http://dx.doi.org/10.3842/SIGMA.2011.055Pohozhaev identityNavier's equationsNoether's theorem
collection DOAJ
language English
format Article
sources DOAJ
author Yuri Bozhkov
Peter J. Olver
spellingShingle Yuri Bozhkov
Peter J. Olver
Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
Symmetry, Integrability and Geometry: Methods and Applications
Pohozhaev identity
Navier's equations
Noether's theorem
author_facet Yuri Bozhkov
Peter J. Olver
author_sort Yuri Bozhkov
title Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
title_short Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
title_full Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
title_fullStr Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
title_full_unstemmed Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
title_sort pohozhaev and morawetz identities in elastostatics and elastodynamics
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2011-06-01
description We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic elastic systems is established.
topic Pohozhaev identity
Navier's equations
Noether's theorem
url http://dx.doi.org/10.3842/SIGMA.2011.055
work_keys_str_mv AT yuribozhkov pohozhaevandmorawetzidentitiesinelastostaticsandelastodynamics
AT peterjolver pohozhaevandmorawetzidentitiesinelastostaticsandelastodynamics
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