scholarly journals BV-norm continuity of sweeping processes driven by a set with constant shape

2016 ◽  
Vol 261 (10) ◽  
pp. 5875-5899 ◽  
Author(s):  
Jana Kopfová ◽  
Vincenzo Recupero
1964 ◽  
Vol 35 (8) ◽  
pp. 1015-1017 ◽  
Author(s):  
Juan T. D'Alessio ◽  
Peter K. Ludwig ◽  
Milton Burton

2018 ◽  
Vol 27 (2) ◽  
pp. 523-548 ◽  
Author(s):  
M. d. R. de Pinho ◽  
M. M. A. Ferreira ◽  
G. V. Smirnov

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Giovanni Colombo ◽  
Paolo Gidoni ◽  
Emilio Vilches

<p style='text-indent:20px;'>We study the asymptotic stability of periodic solutions for sweeping processes defined by a polyhedron with translationally moving faces. Previous results are improved by obtaining a stronger <inline-formula><tex-math id="M1">\begin{document}$ W^{1,2} $\end{document}</tex-math></inline-formula> convergence. Then we present an application to a model of crawling locomotion. Our stronger convergence allows us to prove the stabilization of the system to a running-periodic (or derivo-periodic, or relative-periodic) solution and the well-posedness of an average asymptotic velocity depending only on the gait adopted by the crawler. Finally, we discuss some examples of finite-time versus asymptotic-only convergence.</p>


Author(s):  
Seyede Solmaz Taheri ◽  
Ahmadreza Baghestani ◽  
Farzanehsadat Minoo ◽  
Anahita Saeedi

Introduction: Chronic Kidney Disease (CKD) is a disease in which damaged kidneys could not remove waste material from the blood which could result in other health problems. The aim of this analysis was to identify significant laboratory prognostic factors on death hazard due to CKD. Methods: There were 109 patients with end-stage renal disease (ESRD) treated at Helal pharmaceutical and clinical complex. The survival time was set as the time interval from starting dialysis until death due to CKD. Age, gender and factors such as creatinine, cholesterol, uric acid, SGOT, SGPT, bilirubin, hemoglobin, potassium, ALP, HbA1C, ferritin, calcium, phosphorus, PTH and albumin were employed in this study. Weibull Distribution with non-Constant Shape Parameter versus constant Shape Parameter for the analysis were used. Results: Death due to CKD occurred in 29 (26.6%) of the patients. Sixty-seven (61.5%) had uric acid higher than 6.8 (mg/dl) and 39(35%) had phosphorus higher than 4.7 (mg/dl) which were poor prognoses. The incidence of death was 48.4%. Calcium<8.5 (mg/dl) (p=0.002), Calcium > 9.5 (mg/dl) (p=0.003), Albumin 4-6.3 (g/dl) (p=0.034), Phosphorus (p=0.022), hemoglobin<10 (g/dl) (p=0.043), hemoglobin>12.5 (g/dl) (p=0.006) and iPTH (p<0.001) were significant variables which had an effect on death hazard rates. Conclusion: The Weibull model with Non-Constant shape parameter was suggested to be more accurate for identifying risk factors, leading to more precise results, compared to constant shape parameter. Investigators mostly emphasize on the importance of Calcium, Albumin, Phosphorus, hemoglobin and iPTH for reducing hazard rates in CKD patients.  


2011 ◽  
Vol 1 (32) ◽  
pp. 64
Author(s):  
Sten Esbjørn Kristensen ◽  
Rolf Deigaard ◽  
Martin Anders Taaning ◽  
Jørgen Fredsøe ◽  
Nils Drønen ◽  
...  

A morphological modelling concept for long term nearshore morphology is proposed and examples of its application are presented and discussed. The model concept combines parameterised representations of the cross-shore morphology, with a 2DH area model for waves, currents and sediment transport in the surf zone. Two parameterization schemes are tested for two different morphological phenomena: 1) Shoreline changes due to the presence of coastal structures and 2) alongshore migration of a nearshore nourishment and a bar by-passing a harbour. In the case of the shoreline evolution calculations, a concept often used in one-line modelling of cross-shore shifting of an otherwise constant shape cross-shore profile is applied for the case of a groyne and a detached breakwater. In the case of alongshore bar/nourishment migration an alternative parameterization is adopted. All examples are presented, analysed and discussed with respect to the question of realistic representation, time scale and general applicability of the model concept.


2011 ◽  
Vol 230 (19) ◽  
pp. 7384-7399 ◽  
Author(s):  
Victor Bayona ◽  
Miguel Moscoso ◽  
Manuel Kindelan

1972 ◽  
Vol 62 (2) ◽  
pp. 551-559
Author(s):  
Chi-Yu King

abstract Particle motion was examined along the surface trace of a kinematic faulting model in which rupture starts at a point at a shallow depth and spreads with a circular front along a vertical fault plane. The center may either be fixed in position or move in prescribed paths as the radius expands at a constant rate. The offset is a cosine function of a constant shape of the radius. It was found that when rupture is free to spread in all directions along the fault plane, the displacement-time curves are approximately finite ramps. When rupture propagation is hindered in some direction, the displacement curves near the point of hindrance have an abrupt beginning followed by a gradual approach to final value. The apparent rupture along the surface trace shows an initial speed much higher than the actual rupture speed. Kinks are introduced in some displacement curves when the mode of propagation is suddenly changed.


2020 ◽  
Vol 15 ◽  
pp. 25
Author(s):  
Ivan Gudoshnikov ◽  
Mikhail Kamenskii ◽  
Oleg Makarenkov ◽  
Natalia Voskovskaia

We offer a finite-time stability result for Moreau sweeping processes on the plane with periodically moving polyhedron. The result is used to establish the convergence of stress evolution of a simple network of elastoplastic springs to a unique cyclic response in just one cycle of the external displacement-controlled cyclic loading. The paper concludes with an example showing that smoothing the vertices of the polyhedron makes finite-time stability impossible.


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