Delta Shock Wave for the Suliciu Relaxation System
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The One
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We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. This system is a simplification of a recently proposed system of five conservations laws by Bouchut and Boyaval that model viscoelastic fluids. An important issue is that the considered3×3system is such that every characteristic field is linearly degenerate. We show an explicit solution for the Cauchy problem with initial data inL∞. We also study the Riemann problem for this system. Under suitable generalized Rankine-Hugoniot relation and entropy condition, both existence and uniqueness of particular delta-shock type solutions are established.
2018 ◽
Vol 105
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pp. 105-112
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2020 ◽
Vol 486
(2)
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pp. 123932
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2012 ◽
Vol 32
(3)
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pp. 825-841
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1963 ◽
Vol 17
(83)
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pp. 257-257
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2000 ◽
Vol 11
(08)
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pp. 1079-1114
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2015 ◽
Vol 269
(8)
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pp. 2305-2327
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