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- W2040455224 abstract "In [2] the author proposed the entropy condition (E) and solved the Riemann problem for general $2 times 2$ conservation laws ${u_t} + f{(u,v)_x} = 0,{v_t} + g{(u,v)_x} = 0$, under the assumptions that the system is hyperbolic, and ${f_u} geqslant 0$ and ${g_v} leqslant 0$. The purpose of this paper is to extend the above results to a much wider class of $2 times 2$ conservation laws. Instead of assuming that ${f_u} geqslant 0$ and ${g_v} leqslant 0$, we assume that the characteristic speed is not equal to the shock speed of different family. This assumption is motivated by the works of Lax [1] and Smoller [4]." @default.
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- W2040455224 date "1975-01-01" @default.
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- W2040455224 title "Existence and uniqueness theorems for Riemann problems" @default.
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- W2040455224 doi "https://doi.org/10.1090/s0002-9947-1975-0380135-2" @default.
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