Abstract
This paper examines the effect of non-strict hyperbolicity on singularity formation for a quasilinear 2$$\,\times \,$$×2 system. We will show that for appropriate data a singularity can form solely along a curve in the (x, t) plane where strict hyperbolicty is lost. Furthermore, this curve may bifurcate at some point. Numerous examples are considered for Riemann and smooth data.
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