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 …

We study steady uniform hypersonic-limit Euler flows passing a finite cylindrically symmetric
conical body in the Euclidean space R< sup> 3, and its interaction with downstream static …

The Riemann problem for the one-dimensional Eulerian droplet model is solved by
employing Sarrico's theory of distributional products. The discontinuous solutions including …

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 …

We solve the Riemann problems for isentropic compressible Euler equations of polytropic
gases in the class of Radon measures, and the solutions admit the concentration of mass. It …

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 …

Construction of Riemann solutions is offered at length for a hyperbolic system in the one-
dimensional setting and conservative form derived from the one-dimensional backward …