Pohozhaev and morawetz identities in elastostatics and elastodynamics

Yuri Bozhkov; Peter J. Olver

doi:10.3842/SIGMA.2011.055

Pohozhaev and morawetz identities in elastostatics and elastodynamics

Yuri Bozhkov
, Peter J. Olver

School of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English (US)
Article number	055
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	7
DOIs	https://doi.org/10.3842/SIGMA.2011.055
State	Published - 2011

Keywords

Navier's equations
Noether's theorem
Pohozhaev identity

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10.3842/SIGMA.2011.055

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title = "Pohozhaev and morawetz identities in elastostatics and elastodynamics",

abstract = "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.",

keywords = "Navier's equations, Noether's theorem, Pohozhaev identity",

author = "Yuri Bozhkov and Olver, \{Peter J.\}",

year = "2011",

doi = "10.3842/SIGMA.2011.055",

language = "English (US)",

volume = "7",

journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",

issn = "1815-0659",

publisher = "Institute of Mathematics",

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T1 - Pohozhaev and morawetz identities in elastostatics and elastodynamics

AU - Bozhkov, Yuri

AU - Olver, Peter J.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Navier's equations

KW - Noether's theorem

KW - Pohozhaev identity

UR - https://www.scopus.com/pages/publications/84855230089

UR - https://www.scopus.com/pages/publications/84855230089#tab=citedBy

U2 - 10.3842/SIGMA.2011.055

DO - 10.3842/SIGMA.2011.055

M3 - Article

AN - SCOPUS:84855230089

SN - 1815-0659

VL - 7

JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 055

ER -

Pohozhaev and morawetz identities in elastostatics and elastodynamics

Abstract

Keywords

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