Nonlinear inviscid incompressible dynamics

DOI10.1016/0167-2789(95)00102-AzbMath0899.76103OpenAlexW2065119602MaRDI QIDQ1896537

Peter Constantin

Publication date: 29 August 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00102-a

zbMATH Keywords

three-dimensional incompressible Euler equationstwo-dimensional active scalar models

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Incompressible inviscid fluids (76B99)

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Cites Work

• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Vorticity intensification and transition to turbulence in the three- dimensional Euler equations
• Development of singular solutions to the axisymmetric Euler equations
• Numerical evidence of smooth self-similar dynamics and possibility of subsequent collapse for three-dimensional ideal flows
• Evidence for a singularity of the three-dimensional, incompressible Euler equations
• Geometric Statistics in Turbulence
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Singular front formation in a model for quasigeostrophic flow