Geodesic
On the Passage to the Limit in the Construction of Geometric Solutions of the Riemann Problem
Matematičeskie zametki, Tome 108 (2020) no. 3, pp. 380-396

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A method for constructing geometric solutions of the Riemann problem for an impulsively perturbed conservation law is described. A complete classification of the possible patterns of the phase flow is given and, for each of the possible cases, the limit in the sense of Hausdorff is constructed.
Keywords: Riemann problem, geometric solutions, conservation laws. 
@article{MZM_2020_108_3_a4,
     author = {V. V. Palin},
     title = {On the {Passage} to the {Limit} in the {Construction} of {Geometric} {Solutions} of the {Riemann} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {380--396},
     publisher = {mathdoc},
     volume = {108},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a4/}
}
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V. V. Palin. On the Passage to the Limit in the Construction of Geometric Solutions of the Riemann Problem. Matematičeskie zametki, Tome 108 (2020) no. 3, pp. 380-396. http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a4/