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.
Original language | English (US) |
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Pages (from-to) | 119-132 |
Number of pages | 14 |
Journal | Communications on Pure and Applied Mathematics |
Volume | 63 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2010 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics