Results 51 to 60 of about 3,258,906 (335)

A Universal Way to Manipulate Droplet via Light‐Fueled Thermocapillary Convection

Advanced Functional Materials, EarlyView.
A non‐contact light‐induced droplet manipulation strategy fueled by mid‐infrared (MIR) light irradiation is introduced. No additional additives and/or complex substrate are required. Here, thermocapillary convection, directly generated by temperature gradient at outer surface of droplet via localized surface heating, plays a key role to propel the ...
Hyesun Hwang, Yinggang Zhao, Kun Li, Jaeseung Lee, Cunjing Lv, Sanghyuk Wooh   +5 more
wiley   +1 more source

An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method

Partial Differential Equations in Applied Mathematics
The dynamics of viscous fluids may be elucidated via the Navier–Stokes equations, which create a fundamental relationship between the exertion of external forces upon fluid motion and the resultant fluid pressure.
P. Dunnimit, W. Sawangtong, P. Sawangtong   +2 more
doaj   +1 more source

Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality

Fixed Point Theory and Algorithms for Sciences and Engineering, 2021
This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point.
Min Ling, Weimin Han
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, Grigori Shapiro, Tamar Mano, Tali Ilovitsh   +3 more
wiley   +1 more source

Remarks on the “Onsager Singularity Theorem” for Leray–Hopf Weak Solutions: The Hölder Continuous Case

Mathematics, 2023
In this paper, we first present an overview of the results related to energy conservation in spaces of Hölder-continuous functions for weak solutions to the Euler and Navier–Stokes equations.
Luigi C. Berselli
doaj   +1 more source

Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing [PDF]

, 2004
The stochastic 2D Navier-Stokes equations on the torus driven by degenerate noise are studied. We characterize the smallest closed invariant subspace for this model and show that the dynamics restricted to that subspace is ergodic.
Martin Hairer, Jonathan C. Mattingly
semanticscholar   +1 more source

Droplet‐Based Synthesis of Nanogels for Controlled Drug Delivery via Two Photon Polymerization‐3D Printed Microfluidic Device

Advanced Materials Technologies, EarlyView.
A miniaturized microfluidic device is 3D printed via two‐photon polymerization and used for the droplet‐based microfluidic synthesis of nanogels for controlled drug delivery purposes. Tuning the fluid flow parameters, the microfluidic system enables the modulation of nanogel size and properties, preserving an extremely low polydispersity, beyond the ...
Vladimir Matining, Camillo Colli, Emanuela Jacchetti, Giulia Nicoletti, Laura Rosanò, Manuela Teresa Raimondi, Bianca Maria Colosimo, Emanuele Mauri, Davide Moscatelli   +8 more
wiley   +1 more source

Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel [PDF]

, 2007
In this paper we consider the three-dimensional Navier-Stokes equations in an infinite channel. We provide a sufficient condition, in terms of $\partial_z p$, where $p$ is the pressure, for the global existence of the strong solutions to the three ...
Cao, Chongsheng, Titi, Edriss S.
core   +1 more source

Anisotropic Surface Microrollers for Endovascular Navigation: A Computational Analysis with a Case Study in Hepatic Perfusion

Advanced Theory and Simulations, EarlyView.
Computational fluid dynamics analyses assess the upstream locomotion performance of anisotropic microrollers with varying height‐to‐width ratios. Observing their successful upstream locomotion in veins, their performance in hepatic circulation is investigated for treating primary liver cancer.
Burak Arslan, Ugur Bozuyuk, Kıvanç Görgülü, Erdost Yildiz, Hakancan Ozturk, Lucia Liotta, Volker Heinemann, Hana Algül, Metin Sitti   +8 more
wiley   +1 more source

Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions

Electronic Journal of Differential Equations, 2017
In this article, we study the steady generalized Navier-Stokes equations in a half-space in the setting of variable exponent spaces. We first establish variable exponent spaces of Clifford-valued functions in a half-space.
Rui Niu, Hongtao Zheng, Binlin Zhang
doaj