Wave interaction for a system in elastodynamics with initial data lying on the level set of one of the Riemann invariants

DOI10.1002/mma.9213MaRDI QIDQ6178224

Kayyunnapara Divya Joseph

Publication date: 18 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Riemann problempropagation of elastic waves

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) First-order nonlinear hyperbolic equations (35L60) Analyticity in context of PDEs (35A20) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations
• Exact solutions for some non-conservative hyperbolic systems
• Generalized solutions to a Cauchy problem for a nonconservative hyperbolic system
• Definition and weak stability of nonconservative products
• Riemann type initial boundary value problem for a system in elastodynamics
• Initial boundary value problem for a nonconservative system in elastodynamics
• Multiplications of distributions in elasticity and hydrodynamics
• Existence theory for nonlinear hyperbolic systems in nonconservative form
• Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form
• Solutions in the large for nonlinear hyperbolic systems of equations

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