International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 61-64, Pages 3339-3356
doi:10.1155/S0161171204110442
Stagnation zones of ideal flows in long and narrow bands
V.M. Miklyukov1
, S.-S. Chow2
and V.P. Solovjov2
1Mathematics Department, Volgograd State University, Volgograd 400062, Russia
2Mathematics Department, Brigham Young University, Provo, UT 84602, USA
Abstract
We investigate stagnation zones of flows of ideal incompressible fluid in narrow and long bands. With the bandwidth being much less than its length, these flows are almost stationary over large subdomains, where their potential functions are almost constant. These subdomains are called s-zones. We estimate the size and the location of these s-zones.