A Semi-Analytic Approach to Euler Singularities
Caflisch, Russel E. ; Siegel, Michael
Methods Appl. Anal., Tome 11 (2004) no. 1, p. 423-430 / Harvested from Project Euclid
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This paper reviews the efforts to construct (or prove the impossibility of) singular solutions of the Euler equations for three dimensional incompressible flow. A semi-analytic approach to this problem is formulated based on numerical computation of complex traveling wave solutions, followed by perturbation construction of a real solution, for axisymmetric flow with swirl. The perturbation analysis depends on small amplitude of the singularity in the traveling wave solution, for small swirl in the underlying background flow.
Publié le : 2004-09-14
Classification:  
@article{1147353064,
     author = {Caflisch, Russel E. and Siegel, Michael},
     title = {A Semi-Analytic Approach to Euler Singularities},
     journal = {Methods Appl. Anal.},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 423-430},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1147353064}
}

Caflisch, Russel E.; Siegel, Michael. A Semi-Analytic Approach to Euler Singularities. Methods Appl. Anal., Tome 11 (2004) no. 1, pp.  423-430. http://gdmltest.u-ga.fr/item/1147353064/