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Journal articles on the topic 'Differential filtration'

Author: Grafiati

Published: 30 May 2022

Last updated: 31 July 2025

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1

Abrashkin, Viktor Aleksandrovich. "Ramification filtration and differential forms." Izvestiya: Mathematics 87, no. 3 (2023): 421–38. http://dx.doi.org/10.4213/im9322e.

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Let $L$ be a complete discrete valuation field of prime characteristic $p$ with finite residue field. Denote by $\Gamma_{L}^{(v)}$ the ramification subgroups of $\Gamma_{L}=\operatorname{Gal}(L^{\mathrm{sep}}/L)$. We consider the category $\operatorname{M\Gamma}_{L}^{\mathrm{Lie}}$ of finite $\mathbb{Z}_p[\Gamma_{L}]$-modules $H$, satisfying some additional (Lie)-condition on the image of $\Gamma_L$ in $\operatorname{Aut}_{\mathbb{Z}_p}H$. In the paper it is proved that all information about the images of the groups $\Gamma_L^{(v)}$ in $\operatorname{Aut}_{\mathbb{Z}_p}H$ can be explicitly ext

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Abrashkin, Viktor Aleksandrovich. "Ramification filtration and differential forms." Известия Российской академии наук. Серия математическая 87, no. 3 (2023): 5–22. http://dx.doi.org/10.4213/im9322.

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Let $L$ be a complete discrete valuation field of prime characteristic $p$ with finite residue field. Denote by $\Gamma_{L}^{(v)}$ the ramification subgroups of $\Gamma_{L}=\operatorname{Gal}(L^{\mathrm{sep}}/L)$. We consider the category $\operatorname{M\Gamma}_{L}^{\mathrm{Lie}}$ of finite $\mathbb{Z}_p[\Gamma_{L}]$-modules $H$, satisfying some additional (Lie)-condition on the image of $\Gamma_L$ in $\operatorname{Aut}_{\mathbb{Z}_p}H$. In the paper it is proved that all information about the images of the groups $\Gamma_L^{(v)}$ in $\operatorname{Aut}_{\mathbb{Z}_p}H$ can be explicitly ext

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3

Geiss, Hans C., Parhofer, Donner, and Schwandt. "Low Density Lipoprotein Apheresis by Membrane Differential Filtration (Cascade Filtration)." Therapeutic Apheresis 3, no. 3 (1999): 199–202. http://dx.doi.org/10.1046/j.1526-0968.1999.00157.x.

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4

von Baeyer, Hans, Frank Kochinke, Ingo Schwaner, Rainer Schwerdtfeger, and Wolfgang Schwarztkopff. "Fundamentals and application of differential filtration." Plasma Therapy and Transfusion Technology 8, no. 4 (1987): 273–82. http://dx.doi.org/10.1016/s0278-6222(87)80031-1.

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5

Nagase, Youichi, and Kenji Okada. "Experimental Verification of Governing Differential Equation for Filtration-Constant Pressure Cake Filtration-." Journal of the Society of Powder Technology, Japan 40, no. 11 (2003): 786–94. http://dx.doi.org/10.4164/sptj.40.786.

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Khodagholi, Mohammad, Mohammad Hemmati, and Ali Pour. "Efficient filtration system for paraffin-catalyst slurry separation." Chemical Industry and Chemical Engineering Quarterly 19, no. 2 (2013): 295–301. http://dx.doi.org/10.2298/ciceq120226063k.

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The filtration efficiency for separating liquid paraffin (or water) from a slurry consisting of 25 weight% spherical alumina in a Slurry Bubble Column Reactor (SBCR) comprised of a cylindrical tube of 10 cm diameter and 150 cm length was studied. Various differential pressures (?P) were applied to two separate tubular sintered metal stainless steel filter elements with nominal pore size of 4 and 16?m. The experimental results disclosed that the rate of filtrations increased on applying higher differential pressure to the filter element. Albeit this phenomenon is limited to moderate ?Ps and for

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Nazir, Maryam, Syed Zakir Hussain Bukhari, Jong-Suk Ro, Fairouz Tchier, and Sarfraz Nawaz Malik. "On Inequalities and Filtration Associated with the Nonlinear Fractional Operator." Fractal and Fractional 7, no. 10 (2023): 726. http://dx.doi.org/10.3390/fractalfract7100726.

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In this paper, we study a new filtration class MFα,βμ, associated with the filtration of infinitesimal generators, by using the nonlinear fractional differential operator and study certain properties, like sharp Fekete–Szegö inequalities and filtration problems.

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Atamanyuk, Volodymyr, and Yaroslav Gumnytskyi. "Mass Exchange Dynamics During the Second Filtration Drying Period." Chemistry & Chemical Technology 3, no. 2 (2009): 129–37. http://dx.doi.org/10.23939/chcht03.02.129.

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The work is dedicated to theoretical and experimental investigations of kinetics and dynamics of filtration drying of capillary and pore materials, and mineral granulated fertilizers, in particular. The proposed physical model of a moist particle and the differential system of equations which describes heat exchange in the second drying period enables to determine the transfer velocity of mass-exchange zone in a dispersion layer of the material during filtration drying.

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Ohkubo, Shun. "Logarithmic growth filtrations for -modules over the bounded Robba ring." Compositio Mathematica 157, no. 6 (2021): 1265–301. http://dx.doi.org/10.1112/s0010437x21007107.

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In the 1970s, Dwork defined the logarithmic growth (log-growth for short) filtrations for $p$-adic differential equations $Dx=0$ on the $p$-adic open unit disc $|t|<1$, which measure the asymptotic behavior of solutions $x$ as $|t|\to 1^{-}$. Then, Dwork calculated the log-growth filtration for $p$-adic Gaussian hypergeometric differential equation. In the late 2000s, Chiarellotto and Tsuzuki proposed a fundamental conjecture on the log-growth filtrations for $(\varphi ,\nabla )$-modules over $K[\![t]\!]_0$, which can be regarded as a generalization of Dwork's calculation. In this paper, we

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Svalov, A. M. "Bottom-hole filtration at a positive differential pressure." Soviet Mining Science 25, no. 1 (1989): 56–60. http://dx.doi.org/10.1007/bf02528431.

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11

Biswas, Indranil. "Differential operators and flat connections on a Riemann surface." International Journal of Mathematics and Mathematical Sciences 2003, no. 64 (2003): 4041–56. http://dx.doi.org/10.1155/s0161171203212187.

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We consider filtered holomorphic vector bundles on a compact Riemann surfaceXequipped with a holomorphic connection satisfying a certain transversality condition with respect to the filtration. IfQis a stable vector bundle of rankrand degree(1−genus(X))nr, then any holomorphic connection on the jet bundleJn(Q)satisfies this transversality condition for the natural filtration ofJn(Q)defined by projections to lower-order jets. The vector bundleJn(Q)admits holomorphic connection. The main result is the construction of a bijective correspondence between the space of all equivalence classes of holo

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Merkle, Ana. "Predictability and uniqueness of weak solutions of the stochastic differential equations." Analele Universitatii "Ovidius" Constanta - Seria Matematica 31, no. 1 (2023): 207–19. https://doi.org/10.2478/auom-2023-0011.

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Abstract Causality is a topic which receives much attention nowadays and it represents a prediction property in the context of possible reduction of available information in order to predict a given filtration. In this paper we define the concept of dependence between stochastic processes and between filtrations, named causal predictability, which is based on the Granger’s definition of causality. This definition extends the ones already given in the continuous time. Then, we provide some properties of the given concept. Finally, we apply the concept of causal predictability to the processes o

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Lužaić, Tanja, Katarina Nedić Grujin, Lato Pezo, Branislava Nikolovski, Zoran Maksimović, and Ranko Romanić. "Implementation of Cellulose-Based Filtration Aids in Industrial Sunflower Oil Dewaxing (Winterization): Process Monitoring, Prediction, and Optimization." Foods 13, no. 18 (2024): 2960. http://dx.doi.org/10.3390/foods13182960.

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In the production of refined sunflower oil, waxes are removed during the winterization stage, and wax crystals are separated through filtration assisted by filtration aids. Commonly used filtration aids in oil refining include perlite and diatomaceous earth. After winterization, a significant amount of filter cake remains as a by-product and is treated as waste. Today, natural cellulose fibers are being promoted as filtration aids. Their advantages are numerous, both in the production process and from an environmental perspective. However, their only disadvantage is their higher cost. Therefor

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Alimbekova, Nurlana, Abdumauvlen Berdyshev, Muratkan Madiyarov, and Yerlan Yergaliyev. "Finite Element Method for a Fractional-Order Filtration Equation with a Transient Filtration Law." Mathematics 12, no. 16 (2024): 2519. http://dx.doi.org/10.3390/math12162519.

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In this article, a numerical method is proposed and investigated for an initial boundary value problem governed by a fractional differential generalization of the nonlinear transient filtration law which describes fluid motion in a porous medium. This type of equation is widely used to describe complex filtration processes such as fluid movement in horizontal wells in fractured geological formations. To construct the numerical method, a high-order approximation formula for the fractional derivative in the sense of Caputo is applied, and a combination of the finite difference method with the fi

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15

Bierck, B. R., and R. I. Dick. "In Situ Examination of Effects of Pressure Differential on Compressible Cake Filtration." Water Science and Technology 22, no. 12 (1990): 125–34. http://dx.doi.org/10.2166/wst.1990.0107.

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A synchrotron X-ray absorbance technique was used to monitor suspended solids concentration changes in compressible filter cakes formed at different constant pressure differentials. Results for a kaolin slurry and an activated sludge manifested the markedly higher compressibility of the latter sludge. A model developed to describe effects of pressure differential on filtrate production behavior of an ideal compressible slurry indicated that the kaolin slurry behaved as such. However, the activated sludge was not ideal because changes in pressure differential did not cause the idealized change

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Manolakos, Spiros, Francy Sinatra, Leila Albers, et al. "Differential Mobility Spectrometry for Inorganic Filtration in Nuclear Forensics." Analytical Chemistry 88, no. 23 (2016): 11399–405. http://dx.doi.org/10.1021/acs.analchem.6b01441.

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17

Safina, Galina. "Numerical solution of filtration in porous rock." E3S Web of Conferences 97 (2019): 05016. http://dx.doi.org/10.1051/e3sconf/20199705016.

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The filtration problem is one of the most relevant in the design of retaining hydraulic structures, water supply channels, drainage systems, in the drainage of the soil foundation, etc. Construction of transport tunnels and underground structures requires careful study of the soil properties and special work to prevent dangerous geological processes. The model of particle transport in the porous rock, which is based on the mechanical-geometric interaction of particles with a porous medium, is considered in the paper. The suspension particles pass freely through large pores and get stuck in sma

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18

Kuzmina, Ludmila Ivanovna, and Yuri Viktorovich Osipov. "Asymptotic solution of the filtration equation." Vestnik MGSU, no. 2 (February 2016): 49–61. http://dx.doi.org/10.22227/1997-0935.2016.2.49-61.

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The problem of filtering a suspension of tiny solid particles in a porous medium is considered. The suspension with constant concentration of suspended particles at the filter inlet moves through the empty filter at a constant speed. There are no particles ahead of the front; behind the front of the fluid flow solid particles interact with the porous medium. The geometric model of filtration without effects caused by viscosity and electrostatic forces is considered. Solid particles in the suspension pass freely through large pores together with the fluid flow and are stuck in the pores that ar

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19

Brunner, R., R. A. Widder, P. Walter, H. Borberg, and K. Oette. "Change in Hemorrheological and Biochemical Parameters following Membrane Differential Filtration." International Journal of Artificial Organs 18, no. 12 (1995): 794–98. http://dx.doi.org/10.1177/039139889501801208.

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Introduction: The elimination of high molecular weight proteins may have a positive influence on disorders of the microcirculation due to an improvement in rheological parameters. We therefore attempted to evaluate the rheological efficacy of membrane differential filtration (MDF). Patients and methods: Ten patients suffering from macular disease underwent MDF. Rheological and biochemical parameters as well as visual acuity were determined one day before and after therapy: The study aimed at a reduction in plasma viscosity, standardized whole blood viscosity at hematocrit 0.45 and erythrocyte

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20

Lü, Qi, and Xu Zhang. "Well-posedness of backward stochastic differential equations with general filtration." Journal of Differential Equations 254, no. 8 (2013): 3200–3227. http://dx.doi.org/10.1016/j.jde.2013.01.010.

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21

Di Carlo, Dino, Jon F. Edd, Daniel Irimia, Ronald G. Tompkins, and Mehmet Toner. "Equilibrium Separation and Filtration of Particles Using Differential Inertial Focusing." Analytical Chemistry 80, no. 6 (2008): 2204–11. http://dx.doi.org/10.1021/ac702283m.

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22

Ravshanov, Normakhmad, Nozim Kurbonov, and Abduvali Mukhamadiev. "An Approximate Analytical Solution of the Problem of Fluid Filtration in the Multilayer Porous Medium." International Journal of Computational Methods 13, no. 06 (2016): 1650042. http://dx.doi.org/10.1142/s0219876216500420.

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This paper deals with a mathematical problem statement of unsteady fluid flow in heterogeneous porous media with various hydrogeological characteristics. In order to solve the problem the authors developed an approximate analytical method. The method allows multidimensional differential equation in partial derivatives describing the process of fluid filtration in layered porous media to become one-dimensional differential equation. There was obtained a calculation formula for determining the process of mass transfer between the layers, depending on the operating modes of production wells and h

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23

Agishi, T. "Selective Removal of Pathogenetic Macromolecules Directly from Whole Blood by Double Filtration Technique." International Journal of Artificial Organs 9, no. 5 (1986): 355–58. http://dx.doi.org/10.1177/039139888600900519.

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Double filtration plasmapheresis (DFPP) is a technique devised in an attempt to selectively remove pathogenetic macromolecules such as antibodies, immune complexes or viscosity-increasing substances directly from blood. In order to realize the differential filtration principle, two filters, one for separation of plasma and another for fractionation of plasma components, are installed in an extracorporeal circulation line. Selective separation of the plasma components is dependent on the filtration property of the two filters. Clinical experiences evidence the usefulness of this technique in re

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24

Mikishanina, E. A. "MODELING OF STEADY-STATE LIQUID FILTRATION IN A PIECEWISE INHOMOGENEOUS ELASTIC-POROUS MEDIUM IN THE CLASS OF ALMOST-PERIODIC FUNCTIONS (PLANE PROBLEM)." PNRPU Mechanics Bulletin, no. 2 (December 15, 2023): 38–46. http://dx.doi.org/10.15593/perm.mech/2023.2.05.

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When modeling liquid filtration in a porous medium, it is assumed that the filtration coefficient is constant, as a result of which the solution is simplified and reduced to a boundary value problem for the Laplace equation. In this paper, the almost periodic of Bohr analytical solutions of the plane problem of steady-state liquid filtration in an elastic – porous piecewise inhomogeneous domain are constructed using a generalized discrete Fourier transform . The domain is a strip consisting of several layers (strips) with different elastic and filtration parameters. Assuming that the filtratio

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25

Selivyorstova, Tatjana, Vadim Selivyorstov, and Yuliia Mala. "Fractional-differential approach to describe the process of feeding metals and alloys solidifying under controlled gas pressure." System technologies 4, no. 135 (2021): 149–55. http://dx.doi.org/10.34185/1562-9945-4-135-2021-15.

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To describe the processes of filtration in the folding dendritic-porous middle of the proponation, a number of fractional-differential mathematical models of the diffusion type. Described non-linear, how to take the shot of the abducted Riman-Leeuwill for an hour, as it can be stuck for a correct description of the single-phase filtration of not Newtonian age in the porous middle.The two-phase zone, which is established during the transition from melting from hard to hard mill, can often be characterized by abnormal kinetics of resistance. The peculiarities of kinetics in the whole range of wi

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26

Shagapov, V. Sh, and Z. M. Nagaeva. "On elastic regime of filtration in hydraulic fracture." Proceedings of the Mavlyutov Institute of Mechanics 11, no. 2 (2016): 156–66. http://dx.doi.org/10.21662/uim2016.2.023.

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Fluid recovery from a well in the modes of constant pressure drop and constant flow rate is considered basing on a theoretical model of filtration in a hydraulic fracture. Exact analytical solutions are obtained that allowed analyzing the effect of the reservoir and fracture properties (such as porosity, permeability and crack width) as well as the rheological properties of the saturating fluid upon: pressure evolution in the fracture, well flow rate at constant pressure drop, and pressure evolution in the wellbore. On the basis of theoretical models describing the filtration for a crack in an

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27

Freeman, Charles, Reuben Burch, Lesley Strawderman, et al. "Do They Really Work? Quantifying Fabric Mask Effectiveness to Improve Public Health Messaging." International Journal of Environmental Research and Public Health 19, no. 11 (2022): 6372. http://dx.doi.org/10.3390/ijerph19116372.

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The purpose of this study is to compare masks (non-medical/fabric, surgical, and N95 respirators) on filtration efficiency, differential pressure, and leakage with the goal of providing evidence to improve public health messaging. Masks were tested on an anthropometric face filtration mount, comparing both sealed and unsealed. Overall, surgical and N95 respirators provided significantly higher filtration efficiency (FE) and differential pressure (dP). Leakage comparisons are one of the most significant factors in mask efficiency. Higher weight and thicker fabric masks had significantly higher

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Daliev, Sherzod, Fazliddin Sirojiddinov, and Oxun Khaitov. "Developing Mathematical Models to Study Changes in Groundwater Levels and Salt Concentration." E3S Web of Conferences 589 (2024): 03011. http://dx.doi.org/10.1051/e3sconf/202458903011.

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Understanding how groundwater and salt concentrations change when freshwater supplies are monitored is crucial. In this work, groundwater fluxes and salt migration were considered when studying groundwater level changes and mineralisation processes. To study salt and water level changes, a more realistic mathematical model was developed to reflect the object’s basic features. To monitor geofiltration and geomigration using mathematical and numerical modelling to provide recommendations, nonlinear differential equations were applied. Scientific research on mathematical and numerical modelling a

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29

Santos, Nathalia Fontes de Souto dos, Vanessa Viscardi, Anna Clara Porthun Caruso, Rodolpho de Almeida Torres Filho, Nayro Xavier de Alencar, and Daniel Augusto Barroso Lessa. "EQUINE TRACHEOBRONCHIAL WASH FILTRATION AND ITS EFFECTS ON DIFFERENTIAL CELL COUNT." Ciência Animal Brasileira 17, no. 2 (2016): 274–78. http://dx.doi.org/10.1590/1089-6891v17i231988.

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Abstract Tracheobronchial wash (TBW) is a method to recover cell samples from the airways. The cytology of TBW fluid is an important technique for the diagnosis of pulmonary diseases in horses. Excessive mucus in TBW may cause cell damage and morphological changes that hinder cell type recognition, resulting in a misdiagnosis. The aim of this study was to compare the results of differential cell count in a tracheobronchial wash of filtered and non-filtered samples. Endoscopy and TBW procedures were performed in thirty horses. Each TBW sample was split into two aliquots. Two groups were formed:

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Gard, M. F. "Measurement of X-ray tube accelerating potential by differential beam filtration." IEEE Transactions on Instrumentation and Measurement 45, no. 3 (1996): 745–49. http://dx.doi.org/10.1109/19.494592.

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31

Zhu, Minxian. "A Weyl module filtration for the vertex algebra of differential operators." Representation Theory of the American Mathematical Society 15, no. 10 (2011): 370. http://dx.doi.org/10.1090/s1088-4165-2011-00381-2.

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32

Nordén, Harry V., and Petteri Kauppinen. "Application of Volume Balances and the Differential Diffusion Equation to Filtration." Separation Science and Technology 29, no. 10 (1994): 1319–34. http://dx.doi.org/10.1080/01496399408006943.

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33

Lüke, C., R. A. Widder, F. Soudavar, P. Walter, R. Brunner, and H. Borberg. "Improvement of macular function by membrane differential filtration in diabetic retinopathy." Journal of Clinical Apheresis 16, no. 1 (2001): 23–28. http://dx.doi.org/10.1002/jca.1004.

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34

Chen, Qiqi, Yujian Liu, Hangjun Deng, et al. "Melt differential electrospinning of polyphenylene sulfide nanofibers for flue gas filtration." Polymer Engineering & Science 60, no. 11 (2020): 2887–94. http://dx.doi.org/10.1002/pen.25520.

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35

Bondarko, M. V. "Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura." Journal of the Institute of Mathematics of Jussieu 8, no. 1 (2008): 39–97. http://dx.doi.org/10.1017/s147474800800011x.

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AbstractWe describe explicitly the Voevodsky's triangulated category of motives $\operatorname{DM}^{\mathrm{eff}}_{\mathrm{gm}}$ (and give a ‘differential graded enhancement’ of it). This enables us to able to verify that DMgm ℚ is (anti)isomorphic to Hanamura's $\mathcal{D}$(k).We obtain a description of all subcategories (including those of Tate motives) and of all localizations of $\operatorname{DM}^{\mathrm{eff}}_{\mathrm{gm}}$. We construct a conservative weight complex functor $t:\smash{\operatorname{DM}^{\mathrm{eff}}_{\mathrm{gm}}}\to\smash{K^{\mathrm{b}}(\operatorname{Chow}^{\mathrm{e

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36

Аlexeev, B. V. "ANALYTIC SOLUTION OF NONLINEAR LEYBENSON EQUATION IN THE THEORY OF FILTRATION." Fine Chemical Technologies 11, no. 1 (2016): 34–39. http://dx.doi.org/10.32362/2410-6593-2016-11-34-39.

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Analytic solution of nonlinear Leybenson equation in the theory of filtration is obtained. Analytical solutions of the partial differential equations are presented in the explicit algebraic form. The integral surfaces in three dimensions are presented.

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Benz, Nikolai, Fabian Krull, Kai Nikolaus, and Sergiy Antonyuk. "Membrane–Fabric Composite Filter Media for Continuous Cake Filtration without Gas Throughput Using Paste Dot Coating with Adhesive." Membranes 13, no. 9 (2023): 801. http://dx.doi.org/10.3390/membranes13090801.

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In the field of liquid filtration, the realization of gas throughput-free cake filtration has been investigated for a long time. Cake filtration without gas throughput would lead to energy savings in general and would reduce the mechanically achievable residual moisture in filter cakes in particular. The reason why gas throughput-free filtration could not be realized with fabrics so far is that the achievable pore sizes are not small enough, and that the associated capillary pressure is too low for gas throughput-free filtration. Microporous membranes can prevent gas flow through open pores an

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CORNEA, O., K. A. DE REZENDE, and M. R. DA SILVEIRA. "Spectral sequences in Conley’s theory." Ergodic Theory and Dynamical Systems 30, no. 4 (2009): 1009–54. http://dx.doi.org/10.1017/s0143385709000479.

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AbstractIn this paper, we analyse the dynamics encoded in the spectral sequence (Er,dr) associated with certain Conley theory connection maps in the presence of an ‘action’ type filtration. More specifically, we present an algorithm for finding a chain complex C and its differential; the method uses a connection matrix Δ to provide a system that spans Er in terms of the original basis of C and to identify all of the differentials drp:Erp→Erp−r. In exploring the dynamical implications of a non-zero differential, we prove the existence of a path that joins the singularities generating E0p and E0

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KAPLUNOV, D. R., A. N. KACHURIN, G. V. FRIDLENDER, and M. P. GANIN. "CALCULATING FILTRATION AIR FLOW IN THE BLOCK OF GASIFIED COAL BED." News of the Tula state university. Sciences of Earth 2, no. 1 (2020): 283–89. http://dx.doi.org/10.46689/2218-5194-2020-2-1-283-289.

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The mathematical model for calculating the filtration air flow in the block of gasified coal bed is substantiated. It is proved that the rate of filtration of the air flow in the block of gasified coal bed will depend on the gas permeability of coal and the difference between the squares of the air pressure on the lines of injection and production wells. It is shown that the filtration rate of the air flow in the block of gasified coal bed is one of the main physical parameters of the process of underground coal gasification. Obviously, the efficiency of underground coal gasification can be co

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Krupp, A. U., I. M. Griffiths, and C. P. Please. "Stochastic modelling of membrane filtration." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2200 (2017): 20160948. http://dx.doi.org/10.1098/rspa.2016.0948.

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Membrane fouling during particle filtration occurs through a variety of mechanisms, including internal pore clogging by contaminants, coverage of pore entrances and deposition on the membrane surface. In this paper, we present an efficient method for modelling the behaviour of a filter, which accounts for different retention mechanisms, particle sizes and membrane geometries. The membrane is assumed to be composed of a series of, possibly interconnected, pores. The central feature is a conductivity function , which describes the blockage of each individual pore as particles arrive, which is co

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KEDLAYA, KIRAN S. "LOCAL MONODROMY OF p-ADIC DIFFERENTIAL EQUATIONS: AN OVERVIEW." International Journal of Number Theory 01, no. 01 (2005): 109–54. http://dx.doi.org/10.1142/s179304210500008x.

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This primarily expository article collects together some facts from the literature about the monodromy of differential equations on a p-adic (rigid analytic) annulus, though often with simpler proofs. These include Matsuda's classification of quasi-unipotent ∇-modules, the Christol–Mebkhout construction of the ramification filtration, and the Christol–Dwork Frobenius antecedent theorem. We also briefly discuss the p-adic local monodromy theorem without proof.

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Alimbekova, N. B., D. R. Baigereyev, and M. N. Madiyarov. "Study of a Numerical Method for Solving a Boundary Value Problem for a Differential Equation with a Fractional Time Derivative." Izvestiya of Altai State University, no. 4(114) (September 9, 2020): 64–69. http://dx.doi.org/10.14258/izvasu(2020)4-10.

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Recently, there has been an increased interest in the problem of numerical implementation of multiphase filtration models due to its enormous economic importance in the oil industry, hydrology, and nuclear waste management. In contrast to the classical models of filtration, filtration models in highly porous fractured formations with the fractal geometry of wells are not fully understood. The solution to this problem reduces to solving a system of differential equations with fractional derivatives. In the paper, a finite-difference scheme is constructed for solving the initial-boundary value p

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Gülle, Saniye, Mustafa Bak, Erkin Serdaroglu, Demet Can, and Ozalp Karabay. "Low-Density Lipoprotein Apheresis by Membrane Differential Filtration (Cascade Filtration) via Arteriovenous Fistula Performed in Children With Familial Hypercholesterolemia." Therapeutic Apheresis and Dialysis 14, no. 1 (2010): 87–92. http://dx.doi.org/10.1111/j.1744-9987.2009.00795.x.

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Li, Yan Xia, Hao Hu, Mao Zhong Hu, Liang Yin, Dan Yang, and Shi Qiu. "Air Filtration and Pressure Boost Technique for the Operating Room of Construction Machinery." Advanced Materials Research 468-471 (February 2012): 168–72. http://dx.doi.org/10.4028/www.scientific.net/amr.468-471.168.

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An air filtration and pressure boost technique for the operating room was brought forward to the construction machinery working in dust atmosphere. The constitution, rationale and design method of the air filtration and pressure boost system was introduced in details. The method was successfully used to the operating room upgrade for a small scoop-tram. A certain positive pressure differential was maintained between the upgraded operating room and the outside, which preventing the access of the outside dust to the interior room and protecting the operator.

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Sandrakov, G. V. "COMPUTATIONAL ALGORITHMS FOR MULTIPHASE HYDRODYNAMICS MODELS AND FILTRATION." Journal of Numerical and Applied Mathematics, no. 1 (2022): 46–61. http://dx.doi.org/10.17721/2706-9699.2022.1.04.

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Computational algorithms for modeling of multiphase hydrodynamics processes with take of phase transitions will be discussed. The algorithms are based on discretization of conservation laws for mass, momentum, and energy in integral and differential forms. The time and spatial discretization is natural and numerical simulations are realized as direct computer experiments. The experiments are implemented as a computer simulation of the dynamics of a multiphase carrier fluid containing particles that can undergo, for example, graphite–diamond phase transitions and calculations are given. Modific

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QADERMARZI, AMIR, MOJTABA POULADI, ALI REZAMAND, SEYED HOSSEIN HOSEINIFAR, and ALI AKBAR HEDAYATI. "Investigation of sub-acute levels of zinc oxide nanoparticles on the filtration rate of Mytilaster lineatus and Dressina polymorpha in the short term." Nusantara Bioscience 10, no. 1 (2018): 53–57. http://dx.doi.org/10.13057/nusbiosci/n100108.

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Qadermarzi A, Pouladi M, Rezamand A, Hoseinifar SH, Hedayati AA. 2018. Investigation of sub-acute levels of zinc oxide nanoparticles on the filtration rate of Mytilaster lineatus and Dressina polymorpha in the short term. Nusantara Bioscience 10: 53-57. The filtration rate is one of the physiological indices in the bivalves which indicate the degree of efficacy of the filtration function in the exposure to contaminants. In this study, changes in the filtration rate of freshwater bivalves (D. polymorpha and M. lineatus) were investigated after exposure periods of 5 and 10 days with nanoparticle

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Aigerim T. Rakhymova, Mars B. Gabbassov, and Anvarjon A. Ahmedov. "Analytical Solution of the Cauchy Problem for a Nonstationary Three-dimensional Model of the Filtration Theory." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 87, no. 1 (2021): 118–33. http://dx.doi.org/10.37934/arfmts.87.1.118133.

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This paper is devoted to the study of the Cauchy problem for a system of differential equations describing the unsteady flow of a compressible fluid in a homogeneous and inhomogeneous porous medium with a general nonlinear filtration law in three-dimensional space. In the work using the methods of four-dimensional mathematics, a special four-dimensional space of space and time coordinates was developed, as well as a functional space of regular functions, and analytical conditions were obtained on the general form of the nonlinear filtration law for which the Cauchy problem has a solution.

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FAIDI, WAHID, ANIS MATOUSSI, and MOHAMED MNIF. "OPTIMAL STOCHASTIC CONTROL PROBLEM UNDER MODEL UNCERTAINTY WITH NONENTROPY PENALTY." International Journal of Theoretical and Applied Finance 20, no. 03 (2017): 1750015. http://dx.doi.org/10.1142/s0219024917500157.

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In this paper, a stochastic control problem under model uncertainty with general penalty term is studied. Two types of penalties are considered. The first one is of type [Formula: see text]-divergence penalty treated in the general framework of a continuous filtration. The second one called consistent time penalty is studied in the context of a Brownian filtration. In the case of consistent time penalty, we characterize the value process of our stochastic control problem as the unique solution of a class of quadratic backward stochastic differential equation with unbounded terminal condition.

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Nagase, Youichi, Kenji Okada, and Shaoxiang Qian. "Constitutive Equation and Governing Differential Equation for Filtration Expressed in Moving Coordinate." Journal of the Society of Powder Technology, Japan 40, no. 10 (2003): 712–19. http://dx.doi.org/10.4164/sptj.40.712.

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Bogaenko, V. A., and V. M. Bulavatsky. "Computer modeling of the fractional-differential dynamics of some filtration-consolidation processes." Reports of the National Academy of Sciences of Ukraine, no. 4 (April 28, 2018): 16–24. http://dx.doi.org/10.15407/dopovidi2018.04.016.

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