Abstract
Sinqularities in fluid flow my be geometrically unstable. When this instability occurs in a regime governed by the scale invariant Euler equations, the phenomena is repeated on all length scales and leads to chaotic solutions. Turbulence, vortex roll up and fingering are discussed. The increased resolution provided by the method of tracking of discontinuities offers a computational tool for the study of this class of problems.
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Glimm, J. (1982). Singularities in fluid dynamics. In: Schrader, R., Seiler, R., Uhlenbrock, D.A. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11192-1_17
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DOI: https://doi.org/10.1007/3-540-11192-1_17
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