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

• Pohozhaev identity
• Navier's equations
• Noether's theorem