$L_1$ stability for $2 \times 2$ systems of hyperbolic conservation laws
نویسندگان
چکیده
منابع مشابه
L1 Stability for 2× 2 Systems of Hyperbolic Conservation Laws
We assume that the system is strictly hyperbolic, i.e. the matrix ∂f(u) ∂u has real and distinct eigenvalues λ1(u) < λ2(u) for all u under consideration, with the corresponding right eigenvectors ri(u), i = 1, 2. Each characteristic field is assumed to be either linearly degenerate or genuinely nonlinear [11], i.e. ri(u) · 5λi(u) ≡ 0 or ri(u) · 5λi(u) 6= 0, i = 1, 2. The purpose of this paper i...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1999
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-99-00292-1