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Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 1603-1627 (2024)
In this article, we propose a model describing laminar shallow water flows with two velocities to handle an uneven bottom. The model is established by taking the different velocities into account. The source terms generated from the bottom topography
Externí odkaz:
https://doaj.org/article/1e26dc13639e4423b0987e4620ea0649
The one-sided Lipschitz condition in the follow-the-leader approximation of scalar conservation laws
We consider the follow-the-leader particle approximation scheme for a $1d$ scalar conservation law with nonnegative $L^\infty_c$ initial datum and with a $C^1$ concave flux, which is known to provide convergence towards the entropy solution $\rho$ to
Externí odkaz:
http://arxiv.org/abs/2103.00061
The one-sided Lipschitz condition in the follow-the-leader approximation of scalar conservation laws
We consider the follow-the-leader particle approximation scheme for a [Formula: see text] scalar conservation law with non-negative compactly supported [Formula: see text] initial datum and with a [Formula: see text] concave flux, which is known to p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11659be3f2876ffba4d77663b531c7e8