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Content available remote Steady compressible Oseen flow with slip boundary conditions
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EN
We prove the existence of solution in the class H²(Ω) × H¹(Ω) to the steady compressible Oseen system with slip boundary conditions in a two dimensional, convex domain with boundary of class $H^{5/2}$. The method is to regularize a weak solution obtained via the Galerkin method. The problem of regularization is reduced to the problem of solvability of a certain transport equation by application of the Helmholtz decomposition. The method works under an additional assumption on the geometry of the boundary.
EN
Background: Both depressive disorders and nicotine use are proven and important risk factors of dementia. The purpose of this study was to verify if cigarette smoking and depression symptoms together are disadvantageous for the prognosis in mild cognitive impairment. Material and methods: A total of 43 patients with a diagnosis of mild cognitive impairment were included in the study. ADAS-Cog was performed upon inclusion in the study and again at least 2 years later. Additionally, patients with ≥18 points in MADRS were qualified as depressive. The Fagerström scale for nicotine dependence was administered to smokers. Results: Our study shows a relation between severity of depressive symptoms and further deterioration of cognitive functions according to ADAS-cog scale. Regression analysis revealed that smoking associated with severity of depressive disorders is also correlated with the progression of cognitive impairment. Conclusions: The results of our study are based on a small number of subjects and should be regarded as early findings. Moreover, nicotine dependency should not be regarded as an isolated factor affecting mood disorders and cognitive impairment progression. Further studies on larger groups of patients and using more sensitive methods of cognitive function assessment are needed.
EN
In the paper results of investigation of the influence of low concentration hydrogen on stress changes in thin catalytic metal films were discussed. The concentration of H2 was altered from 6 ppm to 1% of hydrogen (6N) in nitrogen (6N). Silicon beams covered with palladium or platinum films of various thicknesses were anchored at one end and their deflection at the other end was measured by atomic force microscope. Stress changes were determined by application of modified Stoney formula and compared with results of computer modelling. The influence of stress caused by hydrogen absorption on the alteration of output characteristics of AIII-N based hydrogen sensors was excluded. The time dependence of stress in metallic films for various hydrogen concentrations indicated dissociation limited mechanism of hydrogen absorption.
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