The Lax-Wendroff Theorem of Entropy Dissipation Method for Scalar Conservation Laws in One Space Dimension
نویسندگان
چکیده
منابع مشابه
On the Structure of L∞-entropy Solutions to Scalar Conservation Laws in One-space Dimension
We prove that if u is the entropy solution to a scalar conservation law in one space dimension, then the entropy dissipation is a measure concentrated on countably many Lipschitz curves. This result is a consequence of a detailed analysis of the structure of the characteristics. In particular the characteristic curves are segments outside a countably 1-rectifiable set and the left and right tra...
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ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2009
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v1n1p98