Existence and uniqueness of global solutions to a model for the flow of an incompressible, barotropic fluid with capillary effects

We study the initial-value problem for a system of nonlinear equations that models the flow of an inviscid, incompressible, barotropic fluid with capillary stress effects. We prove the global-in-time existence of a unique, classical solution to this system of equations, with a small initial velocity...

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Bibliographic Details
Main Author: Diane L. Denny
Format: Article
Language:English
Published: Texas State University 2007-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/39/abstr.html