Singular solutions to the 3D axisymmetric incompressible Euler equations

DOI10.1016/0167-2789(92)90167-LzbMath0786.76021OpenAlexW2053786992MaRDI QIDQ1312534

Alain Pumir, Eric D. Siggia

Publication date: 27 April 1994

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

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90167-l

zbMATH Keywords

Boussinesq convectioncentripetal accelerationhot bubblesingularity of the vorticity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Free convection (76R10)

Cites Work

• Focusing and multi-focusing solutions of the nonlinear Schrödinger equation
• High Resolution Schemes and the Entropy Condition
• Collapsing solutions to the 3-D Euler equations
• Small-scale structure of the Taylor–Green vortex
• Vortex dynamics and the existence of solutions to the Navier–Stokes equations
• The stability of a large gas bubble rising through liquid
• Development of singular solutions to the axisymmetric Euler equations
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle

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