TY - JOUR
T1 - On KS-type equations describing the evolution and rupture of a liquid interface
AU - Hocherman, Tal
AU - Rosenau, Philip
N1 - Funding Information:
This work is based in part on the M.Sc thesis of T.H. The work of P.R. was supported in part under the DARPA-AFOSR Contract F49620-89-c-0087, and in part under the AFOSR grant F49620-92-j-0054 at the University of Arizona. The authors express their gratitude to Dr. A. Oron for his interest and help with the numerical affairs.
PY - 1993/8/15
Y1 - 1993/8/15
N2 - Study of core annular flow of two liquids of different viscosity generates two new amplitude equations of the Kuramoto-Sivashinsky (KS) type. In the first an integral operator of dispersive nature appends the KS. It modifies the bifurcation structure of the KS and delays parametrically the appearances of a specific pattern. The second modification, specific to cylindrical geometry, is due to a sensitive part in the curvature dispensed within a conventional expansion. When retained, it may cause a linearly unstable interface to rupture and to form, experimentally observed, bubbles.
AB - Study of core annular flow of two liquids of different viscosity generates two new amplitude equations of the Kuramoto-Sivashinsky (KS) type. In the first an integral operator of dispersive nature appends the KS. It modifies the bifurcation structure of the KS and delays parametrically the appearances of a specific pattern. The second modification, specific to cylindrical geometry, is due to a sensitive part in the curvature dispensed within a conventional expansion. When retained, it may cause a linearly unstable interface to rupture and to form, experimentally observed, bubbles.
UR - http://www.scopus.com/inward/record.url?scp=26544454798&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(93)90200-K
DO - 10.1016/0167-2789(93)90200-K
M3 - מאמר
AN - SCOPUS:26544454798
VL - 67
SP - 113
EP - 125
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 1-3
ER -