The purpose of the article is to study the linear and nonlinear “stability” of roll-waves that are periodic and discontinuous entropic travelling wave solutions ...

The shock conditions (Rankine-Hugoniot conditions and. Lax entropy conditions) are treated as nonlinear boundary conditions. Key words, nonlinear waves, ...

It is shown that roll-wave solutions can be seen as zeros of a suitably chosen map, and it is proved that this solution persists to small amplitudes, ...

The purpose of this article is to prove the existence of particular nonlinear waves, so-called roll-waves, in general hyperbolic systems with a source term: ...

The purpose of this article is to prove the existence of particular nonlinear waves, so-called roll-waves, in general hyperbolic systems with a source term: ...

Bibliographic details on Roll-Waves in General Hyperbolic Systems with Source Terms.

Oct 15, 2021 · Abstract: We propose a new concept of waves for hyperbolic systems with a source term and detail some examples arising in environment ...

The phenomenon of roll waves occurs in a uniform open-channel flow down an incline, when the Froude number is above two. The goal of this paper is to ...

In the supercharacteristic case, the problem admits a periodic solution known as the roll wave, generated by a small perturbation around equilibrium constants.

In the present paper, we consider the occurrence of roll waves in a free surface shallow flow of a power-law fluid using both the two-dimensional boundary ...