Formation of singularities in the Euler and Euler-Poisson equations

DOI10.1016/0167-2789(96)00087-5zbMath0885.35086OpenAlexW2056475970MaRDI QIDQ1814687

Shlomo Engelberg

Publication date: 30 October 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(96)00087-5

zbMATH Keywords

existenceEuler equationsEuler-Poisson equationsglobally smooth solutionLax's methodfinite-time loss of smoothness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Euler-Poisson-Darboux equations (35Q05)

Related Items (32)

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Cites Work

• Unnamed Item
• Formation of singularities in three-dimensional compressible fluids
• Sur l'existence des solutions locales de l'équation d'Euler-Poisson pour l'évolution d'étoiles gazeuses. (Local existence of solutions for Euler-Poisson's equation for the evolution of gazeous stars)
• Sur les solution à symétrie sphérique de l’equation d’Euler-Poisson pour l’evolution d’etoiles gazeuses
• Non-existence of global solutions to Euler-Poisson equations for repulsive forces

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