Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo
Published 2024-04-16Version 1
We prove the well-posedness of weak entropy solutions of a scalar non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate solutions constructed by Lax-Friedrich and Hilliges-Weidlich schemes, while the L1 stability with respect to the initial data and the delay parameter relies on a Kruzkov-type doubling of variable technique.Numerical tests are provided to illustrate the efficiency of the proposed schemes, as well as the solution dependence on the delay and look-ahead parameters.
On the Numerical Approximation of $\infty$-Harmonic Mappings
On the well-posedness of the incompressible Euler Equation
Asymptotic stability for a class of viscoelastic equations with general relaxation functions and the time delay
![QR code for arXiv:2404.10368 [math.AP]](http://oss.arxitics.com/images/favicon.svg)