BV Solutions to 1D isentropic Euler equations in the zero mach number limit

DOI10.1142/S0219891616500181zbMath1359.35139arXiv1509.01717OpenAlexW2963386821MaRDI QIDQ2960447

Rinaldo M. Colombo, Graziano Guerra

Publication date: 9 February 2017

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01717

zbMATH Keywords

hyperbolic conservation lawscompressible Euler equationszero Mach number limitincompressible limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Compressible fluids and gas dynamics (76N99) Euler equations (35Q31)

Related Items (6)

Characterization of the solutions to ODE-PDE systems ⋮ Hard-congestion limit of the p-system in the BV setting ⋮ Uniqueness of the 1D compressible to incompressible limit ⋮ BV solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel ⋮ One dimensional piston problem for compressible Euler equations of generalized Chaplygin gas ⋮ A coupling between a non-linear 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case

Cites Work

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• A coupling between a non-linear 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case
• A coupling between a 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case
• Functional analysis, Sobolev spaces and partial differential equations
• On the interactions between a solid body and a compressible inviscid fluid
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Hyperbolic Conservation Laws in Continuum Physics
• The compressible to incompressible limit of one dimensional Euler equations: the non smooth case

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