Dispersion relations for supersonic multiple virtual jets

Joshua Du; Liancheng Wang

doi:10.3934/proc.2011.2011.381

Article Contents

2011, Volume 2011: 381-390. Doi: 10.3934/proc.2011.2011.381 open access

This issue Previous Article About maximum principles for one of the components of solution vector and stability for systems of linear delay differential equations Next Article Bifurcation and bursting in Morris-Lecar model for class I and class II excitability

Dispersion relations for supersonic multiple virtual jets

Joshua Du^1, and
Liancheng Wang^2,

1.
Department of Mathematics, Kennesaw State University, 1000 Chastain Rd, P.O. Box 1204, Kennesaw, GA 30144
2.
Department of Mathematics & Statistics, Kennesaw State University, Kennesaw, GA 30144

Received: June 30, 2010

Revised: March 31, 2011

Published: August 2017

Abstract Related Papers Cited by

Abstract

In this paper, a special type of circulant matrices, circulant trinity matrices, are first introduced and some properties of these matrices are investigated. Then, in studying a supersonic circular N-jet vortex sheet model, circulant trinity matrices are used to classify the general solutions of the $N$-jet model into 2$N$ families. Finally, the dispersion relations of $N$-jets for each family are derived by using Graf’s Addition Theorem.

Keywords:

Mathematics Subject Classification: 76J20, 76E99.

Citation:

Article Metrics

HTML views() PDF downloads(93) Cited by(0)

Dispersion relations for supersonic multiple virtual jets

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Dispersion relations for supersonic multiple virtual jets

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content