Hyperbolic limit of the Jin-Xin relaxation model
نویسندگان
چکیده
منابع مشابه
Hyperbolic Limit of the Jin-xin Relaxation Model
We consider the special Jin-Xin relaxation model (0.1) ut + A(u)ux = 2(uxx − utt), We assume that the initial data (u0, 2u0,t) are sufficiently smooth and close to (ū, 0) in L∞ and have small total variation. Then we prove that there exists a solution (u2(t), 2ut(t)) with uniformly small total variation for all t ≥ 0, and this solution depends Lipschitz continuously in the L1 norm w.r.t. the in...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2006
ISSN: 0010-3640,1097-0312
DOI: 10.1002/cpa.20114