The Riemann problem for the shallow water equations with discontinuous topography
LeFloch, Philippe G. ; Thanh, Mai Duc
Commun. Math. Sci., Tome 5 (2007) no. 1, p. 865-885 / Harvested from Project Euclid
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We construct the solution of the Riemann problem for the shallow water equations with discontinuous topography. The system under consideration is non-strictly hyperbolic and does not admit a fully conservative form, and we establish the existence of two-parameter wave sets, rather than wave curves. The selection of admissible waves is particularly challenging. Our construction is fully explicit, and leads to formulas that can be implemented numerically for the approximation of the general initial-value problem.
Publié le : 2007-12-15
Classification:  shallow water,  conservation law,  Riemann problem,  discontinuous topography,  35L65,  76N10,  76L05 
@article{1199377555,
     author = {LeFloch, Philippe G. and Thanh, Mai Duc},
     title = {The Riemann problem for the shallow water equations with discontinuous topography},
     journal = {Commun. Math. Sci.},
     volume = {5},
     number = {1},
     year = {2007},
     pages = { 865-885},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1199377555}
}

LeFloch, Philippe G.; Thanh, Mai Duc. The Riemann problem for the shallow water equations with discontinuous topography. Commun. Math. Sci., Tome 5 (2007) no. 1, pp.  865-885. http://gdmltest.u-ga.fr/item/1199377555/