On Kolmogorov Entropy Compactness Estimates for Scalar Conservation Laws Without Uniform Convexity
نویسندگان
چکیده
منابع مشابه
Lower compactness estimates for scalar balance laws
We study the compactness in Lloc of the semigroup (St)t≥0 of entropy weak solutions to strictly convex scalar conservation laws in one space dimension. The compactness of St for each t > 0 was established by P. D. Lax [1]. Upper estimates for the Kolmogorov’s ε-entropy of the image through St of bounded sets C in L ∩ L∞ which is denoted by Hε(St(C) | L(R)) := log2 Nε(St(C)). where Nε(St(C)) is ...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2019
ISSN: 0036-1410,1095-7154
DOI: 10.1137/18m1198090