The Riemann problem for the one-dimensional zero-pressure gas dynamics system is
considered in the frame of α− solutions based on a solution concept defined in the setting of …

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 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 …

In the frame of α− solutions defined in the setting of distributional products, the discontinuous
solutions to the Riemann problem for a nonlinear chromatography system are constructed …

In this paper, we investigate the limits of Riemann solutions to the Euler equations of
compressible fluid flow with a source term as the adiabatic exponent tends to one. The …

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

The phenomena of concentration and cavitation and the formation of delta shock waves and
vacuum states in vanishing pressure limits of solutions to the generalized Chaplygin Euler …

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 …

In this paper, we investigate the limiting behavior of Riemann solutions to the Euler
equations of compressible fluid flow for modified Chaplygin gas with the body force as the …