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 …

Here, we study the Riemann problem for a strictly hyperbolic system of conservation laws,
which occurs in gas dynamics and nonlinear elasticity. We establish the existence and …

This article studies a Riemann problem for the so-called “p-system” ut− vx= 0, vt−[σ (u)] x= 0,
which rules one-dimensional isentropic thermoelastic media. Such study is made using a …

The present paper concerns the system ut+[ϕ (u)] x= 0, vt+[ψ (u) v] x= 0 having distributions
as initial conditions. Under certain conditions, and supposing ϕ, ψ: ℝ→ ℝ functions, we …

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 …

In this paper, we prove that the model known as the zero pressure gas dynamic system with
certain singular measures as initial conditions may develop waves defined by distributions …

We investigate a conservation law characterized by a discontinuous flux, given by u t+∂ x (f
L (u) H (− x)+ f R (u) H (x))= 0, where max u∈ K⁡ f L (u)< max u∈ K⁡ f R (u), for any …

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 …