## Abstract One often believes that there is no shock formation for the Cauchy problem of quasilinear hyperbolic systems (of conservation laws) with linearly degenerate characteristic fields. It has been a conjecture for a long time (see __Arch. Rational Mech. Anal.__ 2004; **172**:65โ91; __Compres
ODE singularity for blocked linearly degenerate quasilinear hyperbolic systems
โ Scribed by Peng Qu
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 138 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1413
No coin nor oath required. For personal study only.
โฆ Synopsis
Communicated by By T. Li
The mechanism of singularity formation is discussed for a kind of blocked quasilinear hyperbolic system with linearly degenerate characteristics, so that the ODE singularity can be shown for some kinds of complete reducible systems and, in particular, all the results in Li et al. (Math. Meth. Appl. Sci. 2008; 31:193-227) can be proved without the original assumption on the part richness.
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