On Entropy Solutions of Scalar Conservation Laws with Discontinuous Flux
Author:
Funder
Russian Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00205-023-01913-5.pdf
Reference27 articles.
1. Andreianov, B.P., Bénilan, Ph., Kruzhkov, S.N.: $$L^1$$-theory of scalar conservation law with continuous flux function. J. Funct. Anal. 171, 15–33, 2000
2. Bulíček, M., Gwiazda, P., Málek, J., Świerczewska Gwiazda, A.: On scalar hyperbolic conservation laws with a discontinuous flux. Math. Models Methods Appl. Sci. 21(1), 89–113, 2011
3. Bulíček, M., Gwiazda, P., Świerczewska Gwiazda, A.: Multi-dimensional scalar conservation laws with fluxes discontinuous in the unknown and the spatial variable. Math. Models Methods Appl. Sci. 23(3), 407–439, 2013
4. Carrillo, J.: Conservation laws with discontinuous flux functions and boundary condition. J. Evol. Equ. 3(2), 283–301, 2003
5. Dias, J.-P., Figueira, M., Rodrigues, J.-F.: Solutions to a scalar discontinuous conservation law in a limit case of phase transitions. J. Math. Fluid Mech. 7, 153–163, 2005
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