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 |
Provenance: | 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. |
Files in This Item:
File | Description | Size | Format | |
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FreeBoundaryFluidSystems.pdf | 376.69 kB | Adobe PDF | View/Open |
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