Duality for systems of conservation laws
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DOI: 10.1007/s11005-019-01253-0
Abstract: For one-dimensional systems of conservation laws admitting two additional conservation laws, we assign a ruled hypersurface of codimension two in projective space. We call two such systems dual if the corresponding ruled hypersurfaces are dual.… read more here.
Keywords: systems conservation; conservation; duality systems; conservation laws ... See more keywords
Explicit solution for a class of coupled hyperbolic systems of conservation laws
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DOI: 10.1080/00036811.2019.1612883
Abstract: ABSTRACT Under suitably generalized Rankine–Hugoniot relation and entropy condition, by introducing a convex hull of potential function, the global explicit solution for the Cauchy problem to a class of coupled hyperbolic systems of conservation laws,… read more here.
Keywords: explicit solution; hyperbolic systems; class coupled; systems conservation ... See more keywords
Global Riemann solvers for several 3 × 3 systems of conservation laws with degeneracies
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DOI: 10.1142/s0218202518500446
Abstract: We study several [Formula: see text] systems of conservation laws, arising in the modeling of two-phase flow with rough porous media and traffic flow with rough road condition. These systems share several features. The systems… read more here.
Keywords: conservation laws; systems conservation; global riemann; riemann solvers ... See more keywords