Simple waves do not avoid eigenvalue crossings

L. Chumakova; E.G. Tabak

doi:10.1002/cpa.20288

Simple waves do not avoid eigenvalue crossings

L. Chumakova, E.G. Tabak

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

General one-parameter families of matrices avoid eigenvalue crossings. It is shown that the matrices associated with the simple waves of nonlinear systems of conservation laws do not obey this rule: a subset of simple waves with nonzero measure has crossing eigenvalues.

Original language	English
Pages (from-to)	119-132
Number of pages	14
Journal	Communications on Pure and Applied Mathematics
Volume	63
Issue number	1
DOIs	https://doi.org/10.1002/cpa.20288
Publication status	Published - 1 Jan 2010

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10.1002/cpa.20288

http://onlinelibrary.wiley.com/doi/10.1002/cpa.20288/abstract

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abstract = "General one-parameter families of matrices avoid eigenvalue crossings. It is shown that the matrices associated with the simple waves of nonlinear systems of conservation laws do not obey this rule: a subset of simple waves with nonzero measure has crossing eigenvalues.",

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Simple waves do not avoid eigenvalue crossings

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