Amplitude Blowup in Radial Isentropic Euler Flow

DOI10.1137/20M1340241zbMath1456.35046OpenAlexW3107688970MaRDI QIDQ5139101

Helge Kristian Jenssen, Charis Tsikkou

Publication date: 7 December 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1340241

zbMATH Keywords

similarity solutionsunbounded solutionsradial symmetrycompressible fluid flowwave focusingmulti-d isentropic Euler system

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items

Singularity Formation for Radially Symmetric Expanding Wave of Compressible Euler Equations ⋮ Global solutions to the compressible Euler equations with heat transport by convection around Dyson's isothermal affine solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• Vanishing viscosity approach to the compressible Euler equations for transonic nozzle and spherically symmetric flows
• Global entropy solutions in \(L^\infty\) to the Euler equations and Euler-Poisson equations for isothermal fluids with spherical symmetry
• Multi-d isothermal Euler flow: existence of unbounded radial similarity solutions
• Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data
• Self-Similar Solutions for Converging Shocks and Collapsing Cavities
• On similarity flows for the compressible Euler system
• Spherically symmetric solutions of the multidimensional, compressible, isentropic Euler equations
• Hyperbolic Conservation Laws in Continuum Physics