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- W1978704003 abstract "It is known that scalar hyperbolic conservation laws with source term and periodic initial value have a property of Poincaré–Bendixson type, namely the solutions converge either to a constant state or to a periodic traveling wave, which is necessarily discontinuous. In this paper we show that generically (with respect to the L 1 topology) the solutions exhibit a behaviour of the former type. We also show that, while the rate of convergence to a constant state is exponential, the convergence to a traveling wave can be arbitrarily slow." @default.
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- W1978704003 date "1997-03-01" @default.
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- W1978704003 title "Instability of Discontinuous Traveling Waves for Hyperbolic Balance Laws" @default.
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- W1978704003 doi "https://doi.org/10.1006/jdeq.1996.3223" @default.
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