FREE-BOUNDARY FLUID SYSTEMS IN A SEMIGROUP APPROACH AND OSCILLATORY BEHAVIOR

Authors
SCHWEIZER B
Citation
B. Schweizer, FREE-BOUNDARY FLUID SYSTEMS IN A SEMIGROUP APPROACH AND OSCILLATORY BEHAVIOR, SIAM journal on mathematical analysis, 28(5), 1997, pp. 1135-1157
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
5
Year of publication
1997
Pages
1135 - 1157
Database
ISI
SICI code
0036-1410(1997)28:5<1135:FFSIAS>2.0.ZU;2-Q
Abstract
We consider the free boundary problem of a liquid drop with viscosity and surface tension. We study the linearized equations with semigroup methods to get existence results for the nonlinear problem. The spectr um of the generator is computed. Large surface tension creates nonreal eigenvalues, and an exterior force results in a Hopf bifurcation. The methods are used to study wind-generated surface waves.