The cracks and holes in underground engineering are the critical factors that cause instability of surrounding rock. It is helpful to control stability rock study samples with combined defects holes. In this study, PFC 2D used analyze numerical models. Seven models single circular hole double different angles established, fracture angle varies from 0° 90° an interval 15°. First, uniaxial compre...

We introduce microscopic and macroscopic stochastic traffic models including accidents. The model is based on a Follow-the-Leader approach whereas the described by scalar conservation law with space dependent flux function. Accidents are introduced as interruptions of deterministic evolution directly linked to situation. Based Lax-Friedrichs discretization convergence shown. Numerical simulatio...

Abstract Rough volatility is a well-established statistical stylized fact of financial assets. This property has led to the design and analysis various new rough stochastic models. However, most these developments have been carried out in mono-asset case. In this work, we show that some specific multivariate models arise naturally from microstructural properties joint dynamics asset prices. To ...