Blowup of the BV norm in the multidimensional Keyfitz and Kranzer system

DOI10.1215/S0012-7094-04-12724-1zbMath1074.35073MaRDI QIDQ1781952

Camillo De Lellis

Publication date: 9 June 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

conservation lawsCauchy problemtransport equationsblow up of solutionsbounded variation (BV) norm

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems ⋮ Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications ⋮ Book Review: Quasilinear hyperbolic systems, compressible flows, and waves ⋮ Optimal regularity for all time for entropy solutions of conservation laws in \(BV^s\)

Cites Work

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• ASYMPTOTIC STABILITY OF NON-PLANAR RIEMANN SOLUTIONS FOR MULTI-D SYSTEMS OF CONSERVATION LAWS WITH SYMMETRIC NONLINEARITIES
• A General Chain Rule for Distributional Derivatives
• Stability for Systems of Conservation Laws in Several Space Dimensions
• The Cauchy Problem for Symmetric Hyperbolic Systems in Lp.

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