We show that certain qualitative properties of classical solutions to the inviscid Proudman-Johnson equation are preserved as long as these solutions exist. This enables us to give a simple blow-up criterion.
Publié le : 2009-07-15
Classification:
Proudman-Johnson equation,
blow-up,
35Q35,
76B99
@article{1247849905,
author = {Constantin, Adrian and Wunsch, Marcus},
title = {On the inviscid Proudman-Johnson equation},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {85},
number = {2},
year = {2009},
pages = { 81-83},
language = {en},
url = {http://dml.mathdoc.fr/item/1247849905}
}
Constantin, Adrian; Wunsch, Marcus. On the inviscid Proudman-Johnson equation. Proc. Japan Acad. Ser. A Math. Sci., Tome 85 (2009) no. 2, pp. 81-83. http://gdmltest.u-ga.fr/item/1247849905/