Publication: A quantitative compactness estimate for scalar conservation laws
A quantitative compactness estimate for scalar conservation laws
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De Lellis, C., & Golse, F. (2005). A quantitative compactness estimate for scalar conservation laws. Communications on Pure and Applied Mathematics, 58(7), 989–998. https://doi.org/10.1002/cpa.20082
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In the case of a scalar conservation law with convex flux in space dimension one, P. D. Lax proved [Comm. Pure and Appl. Math. 7 (1954)] that the semigroup defining the entropy solution is compact in L for each positive time. The present note gives an estimate of the -entropy in L of the set of entropy solutions at time t > 0 whose initial data run through a bounded set in L1. © 2005 Wiley Periodicals, Inc.
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- De Lellis, C
- Golse, F
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De Lellis, C., & Golse, F. (2005). A quantitative compactness estimate for scalar conservation laws. Communications on Pure and Applied Mathematics, 58(7), 989–998. https://doi.org/10.1002/cpa.20082
