2 papers
math.DS2026
Rigorous Construction of Stop-and-Go Waves in the Optimal Velocity Model via a Difference-Differential Equation
Kota Ikeda, Tomoyuki Miyaji
Nonlinear wave phenomena such as stop-and-go traffic patterns are widely observed in vehicular flow but remain challenging to describe within a rigorous mathematical framework. Mot…
math.DS2024
Existence of traveling wave solutions in continuous OV models
Kota Ikeda, Toru Kan, Toshiyuki Ogawa
In traffic flow, self-organized wave propagation, which characterizes congestion, has been reproduced in macroscopic and microscopic models. Hydrodynamic models, a subset of macros…