The present paper studies the interaction of Dirac δ-waves in models ruled by the nonlinear
Klein-Gordon equation utt− c 2 uxx= ϕ (u), where c> 0 is a real number and ϕ is an entire …

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 …

A weak notion of solution for systems of conservation laws in one dimension is put forward.
In the framework introduced here, it can be shown that the Cauchy problem for any n× n …

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 …

This paper studies a Riemann problem for the isentropic Euler equations and addresses two
gaps in the literature concerning positive pressures. Such study is made using a product of …

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 …

We consider the nonlinear 2× 2 Gurevich–Zybin system as a model for the one-dimensional
dynamics of dark matter. In this setting, we evaluate the movement of a particle of mass …