On the topological classification of rarefaction curves in systems of three conservation laws

DOI10.1007/s00574-010-0007-yzbMath1201.34011OpenAlexW1983834447MaRDI QIDQ968029

Regina Radicchi, Cesar S. Eschenazi, Mario Jorge Dias Carneiro

Publication date: 3 May 2010

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-010-0007-y

zbMATH Keywords

singular pointsrarefaction curvessystems of implicit differential equationssystems of three conservation laws

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Hyperbolic conservation laws (35L65) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Differential line geometry (53A25)

Cites Work

• Unnamed Item
• Normal form of a differential equation, not solvable for the derivative, in a neighborhood of a singular point
• Germs of diffeomorphisms in the plane
• Hyperbolicity singularities in rarefaction waves
• A network model for two‐fluid, two‐phase flow
• Singularites generiques des equations differentielles multiformes
• Duality and implicit differential equations
• ON MATRICES DEPENDING ON PARAMETERS