publication . Article . 2015

Exact solutions of a nonconservative system in elastodynamics

Kayyunnapara Thomas Joseph;
Open Access English
  • Published: 01 Oct 2015 Journal: Electronic Journal of Differential Equations (issn: 1072-6691, Copyright policy)
  • Publisher: Texas State University
Abstract
In this article we find an explicit formula for solutions of a nonconservative system when the initial data lies in the level set of one of the Riemann invariants. Also for nonconservative shock waves in the sense of Volpert we derive an explicit formula for the viscous shock profile.
Subjects
arXiv: Physics::Atomic PhysicsAstrophysics::High Energy Astrophysical PhenomenaPhysics::Classical Physics
free text keywords: Elastodynamics, viscous shocks, Mathematics, QA1-939
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