Initial Layers and Uniqueness of¶Weak Entropy Solutions to¶Hyperbolic Conservation Laws

86 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Relative Entropy and the Stability of Shocks and Contact Discontinuities for Systems of Conservation Laws with non-BV Perturbations (2010, background): “In the one-dimensional case, a different proof based on compensated compactness was proposed by Chen and Rascle [14].”
Strong Traces for Solutions to Scalar Conservation Laws with General Flux (2007, background): “Let us cite also the result of Chen and Rascle [4] where the strong trace at t = 0 is proven for the mono-dimensional case using compensated compactness techniques with a slightly different hypothesis of non-degenerate flux.”
Criteria on Contractions for Entropic Discontinuities of Systems of Conservation Laws (2015, background): “Strong trace property in the case of scalar conservation laws have been widely studied [15, 20, 28, 29, 41, 40, 52].”
On the theory of divergence-measure fields and its applications (2001, result): “In this connection, we recall the following result of Chen-Rascle [12], to which we refer for the proof.”
Divergence-Measure Fields, Sets of Finite Perimeter, and Conservation Laws (2005, methodology): “It would be interesting to explore more applications of this theory in various problems involving L∞ vector fields whose divergences are measures; see [5, 8, 9] and the references cited therein for applications of this theory over sets with Lipschitz deformable boundaries.”