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NONLINEAR REGULARIZING EFFECT FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS

    https://doi.org/10.1142/9789814304634_0033Cited by:3 (Source: Crossref)
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    Abstract:

    The Tartar-DiPerna compensated compactness method, used initially to construct global weak solutions of hyperbolic systems of conservation laws for large data, can be adapted in order to provide some regularity estimates on these solutions. This note treats two examples: (a) the case of scalar conservation laws with convex flux, and (b) the Euler system for a polytropic, compressible fluid, in space dimension one.