Results 71 to 80 of about 135,615 (350)

Mixed problem for the singular partial differential equation of parabolic type

Karpatsʹkì Matematičnì Publìkacìï, 2018
The scheme for solving of a mixed problem is proposed for a differential equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(c(x)\frac{\partial T}{\partial x}\right) -g(x)\, T\] with coefficients $a(x)$, $g(x)$ that are the
O.V. Makhnei
doaj   +1 more source

Vapor Phase Installation of CpCo(CO)2 in MOF‐808

Advanced Materials Interfaces, EarlyView.
Metal organic frameworks (MOFs) provide high surface area and chemically uniform scaffolds for catalysis. Atomic layer deposition within frameworks may imbue even greater catalytic activity and selectivity. However, a mechanistic understanding of metal center installation is necessary to ensure the uniform installation required to draw strict structure‐
Thabiso Kunene, Juan Pablo Vizuet, Matthew Klenk, Peter Zapol, Ksenija Glusac, Alex B. F. Martinson   +5 more
wiley   +1 more source

Existence of solutions for a degenerate seawater intrusion problem

Electronic Journal of Differential Equations, 2005
We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi, Moulay Hicham Tber   +1 more
doaj  

Flow Analysis in Pathological Microvascular Models by Ultrasound Localization Microscopy

Advanced Materials Technologies, EarlyView.
This study presents a new platform combining ultrasound localization microscopy with biomimetic gelatin phantoms to analyze flow dynamics in small vessels with narrowing or obstructions. Using microbubble tracking, the method enables high‐resolution velocity mapping in 100–500 µm channels, revealing flow changes in pathological microvascular conditions
Yarin Gershman, Grigori Shapiro, Tamar Mano, Tali Ilovitsh   +3 more
wiley   +1 more source

The mathematics of suspensions: Kac walks and asymptotic analyticity

Electronic Journal of Differential Equations, 2000
Of concern are suspension flows. These combine directed and random motions and are typically modelled by parabolic partial differential equations.
Eugene C. Eckstein, Jerome A. Goldstein, Mark Leggas   +2 more
doaj  

A Two-Dimensional Nonlocal Fractional Parabolic Initial Boundary Value Problem

Axioms
In this paper, we investigate a two-dimensional singular fractional-order parabolic partial differential equation in the Caputo sense. The partial differential equation is supplemented with Dirichlet and weighted integral boundary conditions.
Said Mesloub, Eman Alhazzani, Hassan Eltayeb Gadain   +2 more
doaj   +1 more source

Numerical approximation of a Cauchy problem for a parabolic partial differential equation

, 1979
: In many physical problems in heat conduction, it is impossible to obtain an initial temperature distribution within a material. In many of these cases, in order to obtain approximations of the temperature within the body, one must rely entirely upon ...
R. Ewing, R. S. Falk
semanticscholar   +1 more source

Stopping a Multilayered Co‐Axial Flow in a 3D Printed Microchannel with Cascaded Nozzles

Advanced Materials Technologies, EarlyView.
A microfluidic device with cascaded nozzles is 3D‐printed using two‐photon polymerization. Its microchannel, featuring integrated nozzles, sculpts multilayered co‐axial flows, enabling independent regulation of four co‐flowing streams to achieve variable layer thicknesses.
Helen Werner, Ebrahim TaiediNejad, Mehmet Akif Sahin, Moritz Leuthner, Peer Erfle, Oliver Hayden, Andreas Dietzel, Ghulam Destgeer   +7 more
wiley   +1 more source

Nonclassical dynamical behavior of solutions of partial differential-difference equations

AIMS Mathematics
For partial differential-difference equations, a review of results regarding the relation between the type of the equation and dynamical properties of its solutions is provided.
Andrey Muravnik
doaj   +1 more source

Microdroplet Magnetic Field Sensor Utilizing Magneto‐Birefringence Effect

Advanced Materials Technologies, EarlyView.
A compact sensor based on birefringent microdroplets of magnetic nanoplatelet suspension enables precise optical detection of magnetic field strength and direction at the microscale. The system offers high sensitivity, fast response, and compatibility with lab‐on‐chip applications.
Martin Horvat, Patricija Hribar Boštjančič, Darja Lisjak, Alenka Mertelj, Natan Osterman   +4 more
wiley   +1 more source