Effects of small viscosity and far field boundary conditions for hyperbolic systems


Journal Article

In this paper we study the effects of small viscosity term and the far-field boundary conditions for systems of convection-diffusion equations in the zero viscosity limit. The far-field boundary conditions are classified and the corresponding solution structures are analyzed. It is confirmed that the Neumann type of far-field boundary condition is preferred. On the other hand, we also identify a class of improperly coupled boundary conditions which lead to catastrophic reflection waves dominating the inlet in the zero viscosity limit. The analysis is performed on the linearized convection-diffusion model which well describes the behavior at the far field for many physical and engineering systems such as fluid dynamical equations and electro-magnetic equations. The results obtained here should provide some theoretical guidance for designing effective far field boundary conditions.

Duke Authors

Cited Authors

  • Lin, HE; Liu, JG; Xu, WQ

Published Date

  • June 1, 2004

Published In

Volume / Issue

  • 3 / 2

Start / End Page

  • 267 - 290

Electronic International Standard Serial Number (EISSN)

  • 1553-5258

International Standard Serial Number (ISSN)

  • 1534-0392

Citation Source

  • Scopus