caa a22 4500 475805216 CHVBK 20180406123745.0 cr unu---uuuuu 170329e20000201xx s 000 0 eng 10.1007/s003329910002 doi (NATIONALLICENCE)springer-10.1007/s003329910002 On the Evolution of an Angle in a Vortex Patch [Elektronische Daten] [J.A. Carrillo, S. Soler] Summary. : The inviscid incompressible two-dimensional motion of some initially convex singular vortex patches is examined. The angles evolution of a tangent-slope discontinuity on a singular contour is studied from a numerical and theoretical point of view. Different numerical examples show that the angle shrinks for initial angle less than 90o, and the angle widens when the initial angle is greater than 90o or is "approximately” preserved for initial angle 90o for small time evolution. An asymptotic expansion of the initial velocity field near a singularity for a class of singular vortex patches is performed to reinforce this result analytically. Some initially nonconvex singular patches in which the evolution does not follow this rule are shown. Springer-Verlag New York Inc., 2000 Carrillo J.A. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain, Spain aut Soler S. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain, Spain aut Journal of Nonlinear Science Springer-Verlag 10/1(2000-02-01), 23-47 0938-8974 10:1<23 2000 10 332 https://doi.org/10.1007/s003329910002 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003329910002 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Carrillo J.A. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain, Spain aut NATIONALLICENCE 700 1- Soler S. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain, Spain aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 10/1(2000-02-01), 23-47 0938-8974 10:1<23 2000 10 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer