论文信息 - Far-field perturbations of vortex patches - 字舞流文

Far-field perturbations of vortex patches

In this paper I investigate the dynamics of vortex patches in the Yudovitch phase space. I derive an approximation for the evolution of the vorticity in the case of nested vortex patches with distant boundaries, and study its long-time behaviour.

Peter Constantin | P. Constantin

[1] Andrew J. Majda,et al. Vorticity and the mathematical theory of incompressible fluid flow , 1986 .

[2] V. I. Yudovich,et al. Non-stationary flow of an ideal incompressible liquid , 1963 .

[3] The dynamics of a columnar vortex in an imposed strain , 1984 .

[4] Edriss S. Titi,et al. On the evolution of nearly circular vortex patches , 1988 .

[5] Andrew J. Majda,et al. A simple one-dimensional model for the three-dimensional vorticity equation , 1985 .

[6] Daniel Spirn,et al. Dynamics Near an Unstable Kirchhoff Ellipse , 2004 .

[7] Andrea L. Bertozzi,et al. Global regularity for vortex patches , 1993 .

[8] J. Chemin,et al. Persistance de structures géométriques dans les fluides incompressibles bidimensionnels , 1993 .

[9] Norman J. Zabusky,et al. Contour Dynamics for the Euler Equations in Two Dimensions , 1997 .