Archive for Rational Mechanics and Analysis

, Volume 196, Issue 2, pp 575–597 | Cite as

Viscous Standing Asymptotic States of Isentropic Compressible Flows Through a Nozzle

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Abstract

In this work we consider a viscous regularization of a well-known one-dimensional model for isentropic viscous compressible flows through a nozzle. For the existence and multiplicity of standing asymptotic states for a certain type of ducts, a complete analysis in a framework of dynamical systems is provided. As an application of the geometric singular perturbation theory, we show that all standing asymptotic states admit viscous profiles.

Keywords

Standing Wave Asymptotic State Level Curve Heteroclinic Orbit Slow Manifold 
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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of MathematicsNational Central UniversityChung-LiTaiwan
  2. 2.Department of MathematicsUniversity of KansasLawrenceUSA

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