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

Huey Er Lin, Jian Guo Liu, Wen Qing Xu

研究成果: 雜誌貢獻文章同行評審

摘要

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.

原文英語
頁(從 - 到)267-290
頁數24
期刊Communications on Pure and Applied Analysis
3
發行號2
DOIs
出版狀態已發佈 - 2004 六月

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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