On the localization of the vortices

Carlo Marchioro

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 3, page 571-584
  • ISSN: 0392-4041

How to cite

top

Marchioro, Carlo. "On the localization of the vortices." Bollettino dell'Unione Matematica Italiana 1-B.3 (1998): 571-584. <http://eudml.org/doc/194957>.

@article{Marchioro1998,
author = {Marchioro, Carlo},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {point vortex methods; two-dimensional flows; weak formulation of Euler equations; weak convergence; time evolution; blobs of vorticity; vorticity distribution},
language = {eng},
month = {10},
number = {3},
pages = {571-584},
publisher = {Unione Matematica Italiana},
title = {On the localization of the vortices},
url = {http://eudml.org/doc/194957},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Marchioro, Carlo
TI - On the localization of the vortices
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/10//
PB - Unione Matematica Italiana
VL - 1-B
IS - 3
SP - 571
EP - 584
LA - eng
KW - point vortex methods; two-dimensional flows; weak formulation of Euler equations; weak convergence; time evolution; blobs of vorticity; vorticity distribution
UR - http://eudml.org/doc/194957
ER -

References

top
  1. HELMHOLTZ, H., On the integrals of the hydrodynamical equations which express vortex motion, Phil. Mag., 33 485 (1867) 485. 
  2. KELVIN, J., Mathematical and Physical Papers, Cambridge, Cambridge University Press (1910). 
  3. KIRCHHOFF, G., Vorlesungen Uber Math. Phys., Leipzig, Teuber (1876). 
  4. LOPES FILHO, M.- NUSSENZVEIG LOPES, H. J., An Extension of the Marchioro's Bound on the Growth of a Vortex Patch to Flows with Lp Vorticity, SIAM J. Math. Anal. (1998) (to appear). Zbl0912.35134
  5. MARCHIORO, C.- PULVIRENTI, M., Euler evolution for singular data and vortex theory, Commun. Math. Phys., 91 (1983) 563. Zbl0529.76023MR727203
  6. MARCHIORO, C.- PULVIRENTI, M., Vortex Methods in Two-dimensional Fluid Mechanics, Lecture Notes in Physics, Vol. 203, Berlin, Heidelberg, New YorkSpringer Verlag (1984). Zbl0545.76027MR750980
  7. MARCHIORO, C.- PAGANI, E., Evolution of two concentrated vortices in a two-dimensional bounded domain, Math. Meth. Appl. Sci., 8 (1986) 328. Zbl0609.76019MR859828
  8. MARCHIORO, C.- PULVIRENTI, M., Vortices and localization in Euler flows, Commun. Math. Phys., 154 (1993) 49. Zbl0774.35058MR1220946
  9. MARCHIORO, C.- PULVIRENTI, M., Mathematical theory of incompressible non-viscous fluids, Applied Mathematical Sciences, 96Berlin, Heidelberg, New YorkSpringer Verlag (1994). Zbl0789.76002MR1245492
  10. MARCHIORO, C., Euler evolution for singular initial data and vortex theory: A global solution, Commun. Math. Phys., 116 (1988) 45-55. Zbl0654.76017MR937359
  11. MARCHIORO, C., Bounds on the growth of the support of a vortex patch, Commun. Math. Phys., 164 (1994) 507-524. Zbl0839.76010MR1291243
  12. POINCARÉ, H., Théories des Tourbillons, George Carré (1893). 
  13. TURKINGTON, B., On the evolution of a concentrated vortex in an ideal fluid, Arch. Rat. Mech. An., 97 (1987) 75. Zbl0623.76013MR856310

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.