Results 81 to 90 of about 44,690 (331)
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 +1 more
doaj
Advances in Topological Thermoelectrics: Harnessing Quantum Materials for Energy Applications
Advanced Materials, EarlyView.Topological materials offer a novel platform for thermoelectric energy conversion through unique band features, including band inversion, linear Dirac bands, surface states, and Berry curvature. These quantum characteristics enable enhanced longitudinal and transverse thermoelectric effects, establishing topological thermoelectrics as a promising ...
Guangsai Yang +8 more
wiley +1 more source
Моделирование и анализ информационных систем, 2017 We consider a boundary-value problem for a singularly perturbed parabolic equation with an initial function independent of a perturbation parameter in the case where a degenerate stationary equation has smooth possibly intersecting roots.
Mikhail A. Terentyev
doaj +1 more source
Mie‐Resonant Metasurfaces with Controlled Silicon Oxidation in Electron‐Beam Deposition
Advanced Materials Interfaces, EarlyView.Electron‐beam deposition is optimized to prevent silicon oxidation by controlling chamber pressure and deposition rate, yielding refractive index values comparable to other methods. This tunability enables precise control of optical properties. Mie‐resonant metasurfaces exhibit strong, tunable collective resonances, allowing the fabrication of silicon ...
Neal Raney, Viktoriia E. Babicheva
wiley +1 more source
Uniqueness and stability of solutions without the boundary condition
Boundary Value Problems, 2019 A parabolic equation related to the p-Laplacian is considered. If the equation is degenerate on the boundary, then demonstrating the regularity on the boundary is difficult, the trace on the boundary cannot be defined, in general.
Huashui Zhan
doaj +1 more source
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 +3 more
wiley +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 +7 more
wiley +1 more source
Approximate general solution of degenerate parabolic equations related to population genetics
Electronic Journal of Differential Equations, 1995 degenerate parabolic equation related to population genetics and implements a computational procedure. The result gives a theoretical foundation to the computer algebraic approach for degenerate partial differential equations and introduces a new ...
Kazuo Amano
doaj
Characterization of Lorenz number with Seebeck coefficient measurement
APL Materials, 2015 In analyzing zT improvements due to lattice thermal conductivity (κL) reduction, electrical conductivity (σ) and total thermal conductivity (κTotal) are often used to estimate the electronic
Hyun-Sik Kim +4 more
doaj +1 more source
Improving Newton's method performance by parametrization: the case of Richards equation [PDF]
, 2016 The nonlinear systems obtained by discretizing degenerate parabolic equations may be hard to solve, especially with Newton's method. In this paper, we apply to Richards equation a strategy that consists in defining a new primary unknown for the ...
Brenner, Konstantin, Cancès, Clément
core +3 more sources