Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices
نویسندگان
چکیده
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15 صفحه اولConvergence of the Godunov scheme for straight line systems
Here A(u) is a map from a domain U ⊂ Rn into Rn×n, and (x, t) ∈ R×R+. We assume strict hyperbolicity, i. e. the the matrix A(u) has n real and strictly different eigenvalues for each u ∈ U . In the conservative case when A(u) = Df(u) for some map f : U → Rn, Glimm [12] proved global existence of weak entropy solutions of (1) when the data has small total variation and each characteristic field ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1993
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02098016