Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
Yuri Bozhkov, Peter J. Olver
TL;DR
This paper develops Pohozhaev and Morawetz identities for elastostatics and elastodynamics using Noetherian methods, leading to new non-existence results for certain elastic systems.
Contribution
It introduces a novel application of Noetherian approach to derive identities in elastodynamics, providing new tools for analyzing elastic systems.
Findings
Established non-existence results for forced semi-linear elastic systems.
Constructed 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.
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