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References (8)
-
C. Dafermos (2000)
Hyberbolic Conservation Laws in Continuum Physics -
L. Ambrosio, D. Pallara, N. Fusco (2000)
Functions of Bounded Variation and Free Discontinuity Problems -
P. Lax (2006)
Hyperbolic systems of conservation laws -
P. Lax (1957)
Hyperbolic systems of conservation laws IICommunications on Pure and Applied Mathematics, 10
-
L. Ambrosio, Camillo Lellis (2004)
A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONSJournal of Hyperbolic Differential Equations, 01
-
J. Glimm, P. Lax (1970)
Decay of solutions of systems of nonlinear hyperbolic conservation lawsMemoirs of the American Mathematical Society
-
A.I. Volpert (1967)
The space BV and quasilinear equationsMat. Sbornik, 73
-
O.A. Oleinik (1957)
Discontinuous solutions of non-linear differential equationsUsp. Mat. Nauk, 12
- Publisher
- Springer Journals
- Copyright
- Copyright © 2008 by Springer-Verlag
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-008-8010-4
- Publisher site
- See Article on Publisher Site
Abstract
It is shown that self-similar BV solutions of genuinely nonlinear strictly hyperbolic systems of conservation laws are special functions of bounded variation, with vanishing Cantor part.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Mar 6, 2008