The propagation of weak discontinuities in quasi-linear hyperbolic systems with discontinuous coefficients part I - fundamental theory†
- 1 January 1973
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 3 (1) , 79-100
- https://doi.org/10.1080/00036817308839058
Abstract
Part I of this paper reviews and extends the theory for the propagation of wavefronts defined by weak discontinuities. It is concerned with first order conservation type quasi-linear hyperbolic systems with discontinuous coefficient matrices. Transport equations are derived which take account of a strong discontinuity in the solution and the time of breakdown of the solution is obtainedKeywords
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