Weak* Solutions II: The Vacuum in Lagrangian Gas Dynamics

DOI10.1137/16M1094968zbMath1370.35205arXiv1608.07746OpenAlexW3099701318MaRDI QIDQ5737805

Alexey Miroshnikov, Robin L. Young

Publication date: 30 May 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07746

zbMATH Keywords

fractureGelfand integralone-dimensional dynamic elasticity

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Euler equations (35Q31)

Related Items (1)

New δ-shock waves in the p-system: a distributional product approach

Cites Work

• Nonuniqueness for a hyperbolic system: cavitation in nonlinear elastodynamics
• Weak* solutions. I: A new perspective on solutions to systems of conservation laws
• On the construction and properties of weak solutions describing dynamic cavitation
• Singular limiting induced from continuum solutions and the problem of dynamic cavitation
• Dynamic cavitation with shocks in nonlinear elasticity
• On Almost Uniform Convergence of Families of Functions
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