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- W2000675318 abstract "We consider the scalar conservation law with convex flux. When the antiderivative Φ of the initial data satisfies Φ(∞) > inf y∈ℝ Φ(y), Lax obtained that asymptotic shapes of shock curves at the far ends are [Formula: see text] with some constant C. In this paper, we consider the critical case when Φ(∞) = inf y∈ℝ Φ(y), and show that asymptotic shapes of shock curves are [Formula: see text] instead of [Formula: see text]. We give the formula for asymptotic curves, and provide examples showing rich phenomena of the critical case." @default.
- W2000675318 created "2016-06-24" @default.
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- W2000675318 date "2013-09-01" @default.
- W2000675318 modified "2023-09-27" @default.
- W2000675318 title "ASYMPTOTIC SHAPES OF SHOCK CURVES FOR SOME CRITICAL CASES" @default.
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- W2000675318 doi "https://doi.org/10.1142/s0219891613500148" @default.
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