Fractional BV spaces and applications to scalar conservation laws
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Publication:5179041
DOI10.1142/S0219891614500209zbMath1320.35206MaRDI QIDQ5179041
Stéphane Junca, Marguerite Gisclon, Christian Bourdarias
Publication date: 19 March 2015
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65)
Related Items (14)
New Regularity Results for Scalar Conservation Laws, and Applications to a Source-Destination Model for Traffic Flows on Networks ⋮ Smoothing effect in \(BV_{\Phi}\) for entropy solutions of scalar conservation laws ⋮ One-sided Hölder regularity of global weak solutions of negative order dispersive equations ⋮ Fractional regularity for conservation laws with discontinuous flux ⋮ Entropy solutions to a non-conservative and non-strictly hyperbolic diagonal system inspired by dislocation dynamics ⋮ Nonlocal Bounded Variations with Applications ⋮ Optimal regularity for all time for entropy solutions of conservation laws in \(BV^s\) ⋮ Regularity of solutions to scalar conservation laws with a force ⋮ Analysis of a Sugimoto Model of Nonlinear Acoustics in an Array of Helmholtz Resonators ⋮ Nonexistence of the $BV$ Regularizing Effect for Scalar Conservation Laws in Several Space Dimensions for $C^2$ Fluxes ⋮ Regularity estimates for scalar conservation laws in one space dimension ⋮ On Φ-variation for 1-d scalar conservation laws ⋮ Entropy Solutions in $BV^s$ for a Class of Triangular Systems Involving a Transport Equation ⋮ On the maximal smoothing effect for multidimensional scalar conservation laws
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