We study the regularity of solutions of the obstacle problem when the obstacle is smooth on each half of the unit ball but only Lipschitz across the shared boundary. We prove that the optimal regularity of these solutions is C 1 2 up to the shared boundary on each half of the unit ball. The proof uses a modification of Almgren’s frequency formula.

In this paper, the heat transfer to the fluid, passing through the double forward facing step (FFS) channel with square obstacle is enhanced by Taguchi’s S/N ratio analysis. Flow through the forward facing step channel has a wide range of applications in thermal systems due to its flow separation and subsequent reattachment, which in turn enhances the heat transfer. Flow separation and reattach...

The effect of flexible obstacles with varying thicknesses on the explosion characteristics combustible gas in a simulated confined duct (cross section 80 mm × mm, length 3 m) was experimentally investigated, aiming to reduce huge losses caused by accidents process industries and mining industries. In this paper, plant fiber membranes an opening area 0 0.105 0.210 0.315 0.420 0.525 0.630 were se...

Gait variability may serve as a sensitive and clinically relevant parameter to quantify adjustments in walking and the changes with aging and neurological disease. Variability of steps preceding obstacle avoidance (approach phase) are important for efficiency in the task, especially in people with Parkinson's disease (PD). However, variability of gait during the approach phase to obstacle avoid...

Abstract. In today's conditions, there is a need to find new and effective ways (means) protect armored vehicles increase their protection against modern means of destruction, as evidenced by the analysis damage received during repulsion armed aggression Ukraine.
 Various methods additional always require practical verification feasibility.
 The purpose this article present main appro...