Viscosity-flux approximation method to inhomogeneous system of isentropic gas dynamics

X Wang, YG Lu, C Klingenberg - Journal of Mathematical Analysis and …, 2024 - Elsevier
In this paper, we apply the maximum principle with the viscosity-flux approximation to obtain
the a-priori L∞ estimates on the Riemann invariants of (1.1), Δ (ν ξ, ε, u ξ, ε)≤ ω (x− kt) and …

Macroscopic analysis of the viscous-diffusive traffic flow model

GO Fosu, A Adu-Sackey, J Ackora-Prah - Mathematics in Applied …, 2022 - ojs.lib.uwo.ca
Second-order macroscopic traffic models are characterized by a continuity equation and an
acceleration equation. Convection, anticipation, relaxation, diffusion, and viscosity are the …

Global entropy solutions for systems modelling polymer flooding in enhanced oil recovery

Y Lu, C Xue, C Klingenberg - Applied Mathematics Letters, 2021 - Elsevier
In this paper, we obtain the existence of global entropy solutions for the Cauchy problem of
the nonstrictly hyperbolic systems modelling polymer flooding in enhanced oil recovery …

[PDF][PDF] Global entropy solutions for systems modelling polymer flooding in enhanced oil recovery

C Klingenberg, Y Lu, C Xue - ifm.mathematik.uni-wuerzburg.de
In this paper, we obtain the existence of global entropy solutions for the Cauchy problem of
the nonstrictly hyperbolic systems modelling polymer flooding in enhanced oil recovery …