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 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 …

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 …

The present paper studies, strictly within the theory of distributions, the propagation of
travelling waves with a distributional profile in one-dimensional models ruled by convection …