We investigate the limiting behavior of the Riemann solution to the isentropic Euler
equations for logarithmic equation of state with the Coulomb‐like friction term. The formation …

Construction of Riemann solutions for a hyperbolic system in conservative form arising from
the one-dimensional mean-field games with the quadratic Hamiltonian and the logarithmic …

The Riemann problem for a pressureless hydrodynamic model is solved explicitly, whose
solution is either a contact-vacuum-contact wave or a delta shock wave to connect the left …

The Riemann problem for a hyperbolic system of conservation laws belonging to Temple
class is considered within frame of α-solutions based on the concept of solutions defined in …

We study of a Riemann problem for a one-dimensional 2× 2 system of conservation laws,
which includes some particular cases of known physical systems, such as the pressureless …

In the setting of a product of distributions, we define a concept of a solution for the Brio
system ut+ 1 2 (u 2+ v 2) x= 0, vt+(uv-v) x= 0, which extends the classical solution concept …

In the present paper we study, strictly within distribution theory, a one-dimensional
pressureless gas Euler system with a delta measure and a step function as initial conditions …

In the present paper we study the nonlinear system u t+[ϕ (u)] x+ v= 0, v t+ ψ (u) vx= 0 as a
model for the one-dimensional dynamics of dark matter. We prove that under certain …

A Riemann problem for the conservation law ut+[ϕ (u)] x= k H (x-vt), where x, t, k, v and u= u
(x, t) are real numbers, is studied with the goal of getting singular solutions in a convenient …

The present paper concerns the study of travelling waves for the nonconservative model u
t+(1 2 u 2) x= σ x, σ t+ u σ x= k 2 ux coming from elastodynamics. For this model, that does …