We study the regularity of free boundary in parabolic obstacle problem for fractional Laplacian $$(-\Delta )^s$$ (and more general integro-differential operators) regime $$s>\frac{1}{2}$$ . prove that once is $$C^1$$ it actually $$C^{2,\alpha }$$ To do so, we establish a Harnack inequality and $$C^{1,\alpha (moving) domains, providing quotient two solutions linear equation, vanish on boundary, ...

Abstract. A six-wheeled companion exploration robot with an adaptive climbing mechanism is proposed and released for the complicated terrain environment of planetary exploration. Benefiting from its three-rocker-arm structure, can adapt to complex six wheels in contact ground during locomotion, which improves stability robot. When moves on flat ground, it forward through rotation wheels. encoun...

This study explored the effect of porosity and installation angle, thickness (dimension) and second layer of permeable obstacles on density current control and trapping in the laboratory. For this purpose, an insoluble suspended polymer and two types of groove and cavity obstacles made from plexiglass sheets were selected. The experiments were conducted with two different concentrations, five d...

In view of the problems that exist in working plane inspection robot equipped with precision instruments cannot always maintain a stable state when moving on complex road surface, floating mobile chassis was designed based Teoriya Resheniya Izobreatatelskikh Zadatch (TRIZ) theory, and suspension device also optimized substance field. The kinematic model established, obstacle-surmounting analysi...

Obstacle avoidance is one of the most important challenges for mobile robots as well as future vision based driver assistance systems. This task requires a precise extraction of depth and the robust and fast detection of moving objects. In order to reach these goals, this paper considers vision as a process in space and time. It presents a powerful fusion of depth and motion information for ima...

In this paper we describe an approach to coordinating the motion of a human with a mobile robot moving in a populated, continuously changing, natural environment. Our test application is a wheelchair accompanying a person through the concourse of a railway station moving side by side with the person. In healthcare and rehabilitation scenarios this addresses a rather important issue. Pushing and...