Journal article
Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems
- Abstract:
-
We study the following class of scalar hyperbolic conservation laws with discontinuous fluxes:(0.1)∂t ρ + ∂x F (x, ρ) = 0 . The main feature of such a conservation law is the discontinuity of the flux function in the space variable x. Kruzkov's approach for the L1-contraction does not apply since it requires the Lipschitz continuity of the flux function in x; an additional jump wave may occur in the solution besides the classical waves; and entropy solutions even for the Riemann problem are n...
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- Publisher copy:
- 10.1016/j.jde.2008.07.036
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Bibliographic Details
- Journal:
- Journal of Differential Equations
- Volume:
- 245
- Issue:
- 11
- Pages:
- 3095-3126
- Publication date:
- 2008-12-01
- DOI:
- EISSN:
-
1090-2732
- ISSN:
-
0022-0396
- URN:
-
uuid:62fc41fd-8da7-487d-93af-8c5bf9852436
- Source identifiers:
-
203487
- Local pid:
- pubs:203487
Item Description
Terms of use
- Copyright date:
- 2008
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