Simple waves and characteristic decompositions of quasilinear hyperbolic systems in two independent variables |
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| Authors: | Yanbo Hu Wancheng Sheng |
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| Affiliation: | 1. Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, China;2. Department of Mathematics, Shanghai University, Shanghai 200444, China |
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| Abstract: | This paper is concerned with the simple waves for the general quasilinear strictly hyperbolic systems in two independent variables. By using the method of characteristic decomposition, we first establish a more general sufficient condition for the existence of characteristic decompositions. These decompositions allow us to extend a well‐known result on reducible equations by Courant and Friedrichs to the non‐reducible equations. Then we construct a simple wave solution, in which the characteristics may be a set of non‐straight curves, around a given curve under the obtained sufficient condition. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | quasilinear hyperbolic system simple wave characteristic decomposition |
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