Research Communication | Open Access
Volume 2019 | Communication ID 280
Volume 2019 | Communication ID 280
| On the derivation of macroscopic hyperbolic equations: Asymptotic limits and computing |
Mohamed Khaladi, Nisrine Outada
Received |
Accepted |
Published |
Feb 08, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: This presentation deals with the analysis of the asymptotic limit toward the derivation of macroscopic equations for a class of equations modeling complex multicellular systems by methods of the kinetic theory. After having chosen an appropriate scaling of time and space, a Chapman–Enskog expansion is combined with a closed, by minimization, technique to derive hyperbolic models at the macroscopic level. The resulting macroscopic equations show how the macroscopic tissue behavior can be described by hyperbolic systems, which seem the most natural in this context. We propose also an ...