Singular ordinary differential equations homogeneous of degree $0$ near a codimension $2$ set

DOI10.1090/S0002-9939-2011-11044-XzbMath1286.37072OpenAlexW2007602407MaRDI QIDQ5390221

Emmanuel Grenier, Benoît Desjardins, Bresch, Didier

Publication date: 27 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11044-x

zbMATH Keywords

low Mach number limitglobal existence and uniquenesssingular ODEscodimension 2 singularity

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Euler-Poisson-Darboux equations (35Q05)

Related Items (1)

A new contraction condition and its application to weakly singular Volterra integral equations of the second kind

Cites Work

• Unnamed Item
• Invariant manifolds for a singular ordinary differential equation
• Fast singular limits of hyperbolic PDEs
• Averaging theorems for conservative systems and the weakly compressible Euler equations
• Low Mach Number Limit of Viscous Polytropic Flows: Formal Asymptotics in the Periodic Case

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