A traffic flow model describing the formation and dynamics of traffic jams was introduced by
Berthelin et al.[“A model for the formation and evolution of traffic jams,” Arch. Ration. Mech …

A theory of delta shock waves with Dirac delta functions develo** in both state variables
for a class of nonstrictly hyperbolic systems of conservation laws is established. In this …

The complete Riemann solutions for the drift-flux model with the pressure law given both for
the extended Chaplygin gas and also for the Chaplygin gas are solved in fully explicit forms …

The Riemann solutions for the one‐dimensional Chaplygin gas equations with a Coulomb‐
like friction term are constructed explicitly. It is shown that the delta shock wave appears in …

A Chaplygin gas is an inviscid, compressible fluid in which the acoustic fields are linearly
degenerate. We analyze the multidimensional shocks in such a fluid, which turn out to be …

The exact solutions to the Riemann problem for the one-dimensional generalized Chaplygin
gas equations with a Coulomb-like friction term are constructed explicitly. The delta shock …

The phenomena of concentration and cavitation and the formation of δ-shocks and vacuum
states in solutions to the isentropic Euler equations for a modified Chaplygin gas are …

We study the vanishing pressure limits of Riemann solutions to the Chaplygin gas equations
with a source term. The phenomena of concentration and cavitation to Chaplygin gas …

We constructively solve the piston problem for the one-dimensional isentropic Euler
equations for a modified Chaplygin gas. We give a rigorous proof of the global existence …

The Riemann problem for one dimensional generalized Chaplygin gas dynamics is
considered. Its two characteristic fields are genuinely nonlinear, but the nonclassical …