On the Euler equations with a singular external velocity field

Carlo Marchioro

Rendiconti del Seminario Matematico della Università di Padova (1990)

  • Volume: 84, page 61-69
  • ISSN: 0041-8994

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Marchioro, Carlo. "On the Euler equations with a singular external velocity field." Rendiconti del Seminario Matematico della Università di Padova 84 (1990): 61-69. <http://eudml.org/doc/108206>.

@article{Marchioro1990,
author = {Marchioro, Carlo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Euler equations; singular external velocity field; fixed point vortices; existence and the uniqueness of the solution},
language = {eng},
pages = {61-69},
publisher = {Seminario Matematico of the University of Padua},
title = {On the Euler equations with a singular external velocity field},
url = {http://eudml.org/doc/108206},
volume = {84},
year = {1990},
}

TY - JOUR
AU - Marchioro, Carlo
TI - On the Euler equations with a singular external velocity field
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1990
PB - Seminario Matematico of the University of Padua
VL - 84
SP - 61
EP - 69
LA - eng
KW - Euler equations; singular external velocity field; fixed point vortices; existence and the uniqueness of the solution
UR - http://eudml.org/doc/108206
ER -

References

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  1. [1] T. Kato, Arch. Rat. Mech. An., 25 (1967), p. 95. MR211057
  2. [2] C. Marchioro, Euler evolution for singular initial data and vortex theory : global solution, Commun. Math. Phys., 116 (1988), pp. 45-55. Zbl0654.76017MR937359
  3. [3] C. Marchioro, On the vanishing viscosity limit for two dimensional Navier-Stokes equations with singular initial data, Math. Meth. Appl. Sci. (in press). Zbl0703.76020MR1058150
  4. [4] C. Marchioro - E. PAGANI, Evolution of two concentrated vortices in a two-dimensional bounded domain, Math. Meth. Appl. Sci., 8 (1986), pp. 328-344. Zbl0609.76019MR859828
  5. [5] C. Marchioro - M. PULVIRENTI, Euler evolution for singular initial data and vortex theory, Commun. Math. Phys., 91 (1983), p. 563-572. Zbl0529.76023MR727203
  6. [6] C. Marchioro - M. Pulvirenti, Vortex methods in two-dimensional fluid mechanics, Lecture Notes in Physics, 203, Springer, Heidelberg (1984). Zbl0545.76027MR750980
  7. [7] C. Marchioro - M. Pulvirenti, Mechanics, Analysis and Geometry: 200 years after Lagrange, M. FRANCAVIGLIA & D. D. HOLM (eds.) North Holland (in preparation). Zbl0714.00021MR1098508
  8. [8] B. Turkington, On the evolution of a concentrated vortex in an ideal fluid, Arch. Rat. Mech. An., 97 (1987), pp. 75-87. Zbl0623.76013MR856310

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