Delta Shock Wave Formation in the Case of Triangular Hyperbolic System of Conservation Laws
نویسنده
چکیده
We describe δ shock wave arising from continuous initial data in the case of triangular conservation law system arising from ”generalized pressureless gas dynamics model” (e.g. [12]). We use the weak asymptotic method [8, 9]. In this paper we investigate formation of δ-shock wave in the case of triangular system of conservation laws: ut + (f(u))x = 0, (1) vt + (vg(u))x = 0, (2) with continuous initial data u|t=0 = û(x) =
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Delta Shock Wave Formation in the Case of Triangular Hyperbolic System of Conservation Laws
We describe δ-shock wave generation from continuous initial data in the case of triangular conservation law system arising from ”generalized pressureless gas dynamics model”. We use smooth approximations in the weak sense that are more general than small viscosity approximations. In this paper we investigate formation of δ-shock wave in the case of triangular system of conservation laws: ut + (...
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