Authors: Schweizer, Ben
Title: Free Boundary Fluid Systems in a Semigroup Approach and Oscillatory Behavior
Language (ISO): en
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 spectrum 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.
Subject Headings: Hopf bifurcation
viscous fluid
free boundary
URI: http://hdl.handle.net/2003/25100
http://dx.doi.org/10.17877/DE290R-15784
Issue Date: 1997
Rights: ©1997 Society for Industrial and Applied Mathematics
Publisher: Society for Industrial and Applied Mathematics
URL: http://link.aip.org/link/?SJM/28/1135/1
Citation: Free Boundary Fluid Systems in a Semigroup Approach and Oscillatory Behavior, Ben Schweizer, SIAM J. Math. Anal. 28, 1135 (1997), DOI:10.1137/S0036141096299892
Appears in Collections:Schweizer, Ben Prof. Dr.

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