Weak Solution to Pressureless Type System

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Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model (2010, methodology): “On the Riemann problem and the Cauchy problem for the generalized pressureless gas dynamics model, we can refer to [47] and [25] respectively.”
Existence of global bounded weak solutions to nonsymmetric systems of Keyfitz–Kranzer type (2011, background): “where m1 = m − ρ, which has no classical weak solution and was well studied in [2,3,9,10,26].”
Singular solutions of a fully nonlinear 2 × 2 system of conservation laws (2011, unknown): “In the last few years, interest in the topic has grown, and a sample of results may be found in [3, 9, 13, 15, 18, 19, 20, 24, 26, 27, 30, 35, 36, 38].”