Results 61 to 70 of about 221,531 (271)
Advanced Engineering Materials, EarlyView.Powder metal processing provides scalable advantages in nanoporous (np) metal development. Mechanical alloying is used to produce unique precursors for hybrid nanopore formation by oxide reduction and dealloying. As demonstrated in np Ag, this approach improves process efficiency while promoting smaller ligaments and larger pores, both of which are ...
Mark A. Atwater, Oliver A. Fowler
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Explicit Barenblatt profiles for fractional porous medium equations [PDF]
Bulletin of the London Mathematical Society, 2014 Several one-parameter families of explicit self-similar solutions are constructed for the porous medium equations with fractional operators. The corresponding self-similar profiles, also called \emph{Barenblatt profiles}, have the same forms as those of the classic porous medium equations.
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Planar Solid‐State Nanopores Toward Scalable Nanofluidic Integration Based on CMOS Technology
Advanced Engineering Materials, EarlyView.We present a scalable silicon‐based fabrication strategy for planar solid‐state nanopores to enable their integration with complex nanofluidic systems. Prototype devices demonstrate normal voltage‐current characteristics, good noise performance, and appreciable streaming currents. Our CMOS‐compatible fabrication process offers precise geometric control
Ngan Hoang Pham +7 more
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Group Classification and Symmetry Reduction of a (1+1)-Dimensional Porous Medium Equation
AppliedMathIn this paper, we present Lie symmetry analysis of a generalized (1+1)-dimensional porous medium equation characterized by parameters m and d. Through group classification, we examine how these parameters influence the Lie symmetry structure of the ...
Polokwane Charles Makibelo +2 more
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Blow-Up Solution of a Porous Medium Equation with Nonlocal Boundary Conditions
Complexity, 2020 In this paper, we devote to studying the blow-up phenomena for a porous medium equation under nonlocal boundary conditions. Based on auxiliary functions and differential inequality technique, we derive the sufficient conditions to guarantee the existence
Huimin Tian, Lingling Zhang
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Advanced Engineering Materials, EarlyView.This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo +3 more
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C ?-Regularity for the porous medium equation [PDF]
Mathematische Zeitschrift, 1986 On etablit un resultat de regularite optimale pour l'equation d'un milieu poreux u t -(u m ) xx =0, x∈R, t>0, u(., 0)=u 0 pour m>1 et la donnee initiale u 0 positive continue a support compact ...
Höllig, K., Kreiss, H.-O.
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Advanced Engineering Materials, EarlyView.This study demonstrates an efficient recycling route for out‐of‐spec AlSi10Mg atomized powders through compaction and arc remelting followed by suction casting. By correlating compaction load, cooling rate, and resulting microstructure, we show that intermediate pressures (50–80 kN) and rapid cooling refine dendrites, reduce porosity, and enhance ...
Mila Christy de Oliveira +4 more
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Condensed Matter PhysicsThe consistent description of kinetic and hydrodynamic processes is applied to the study of ion transport processes in the ionic solution-porous medium system.
P. P. Kostrobij +3 more
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Stochastic porous-medium equation in one dimension
Physical Review EWe study the porous medium equation (PME) in one space dimension in presence of additive non-conservative white noise, and interpreted as a stochastic growth equation for the height field of an interface. We predict the values of the two growth exponents $α$ and $β$ using the functional RG.
Maximilien Bernard +3 more
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