Results 61 to 70 of about 3,244,761 (335)

Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations

, 2010
We consider two-grid mixed-finite element schemes for the spatial discretization of the incompressible Navier-Stokes equations. A standard mixed-finite element method is applied over the coarse grid to approximate the nonlinear Navier-Stokes equations ...
Abboud, Abboud, Adams, Ait Ou Amni, Ayuso, Ayuso, Ayuso, Bosco García-Archilla, Brezzi, Brezzi, Ciarlet, Davis, de Frutos, de Frutos, de Frutos, de Frutos, de Frutos, Devulder, Fujita, García-Archilla, García-Archilla, Girault, He, Henry, Heywood, Heywood, Heywood, Hood, Hou, Javier de Frutos, Julia Novo, Layton, Layton, Li, Liu, Margolin, Marion, Olshanskii, Xu, Xu   +39 more
core   +1 more source

Vertical Membrane‐Free Organ‐on‐a‐Chip for High‐Throughput In Vitro Studies and Drug Screening

Advanced Materials Technologies, EarlyView.
This novel microfluidic organ‐on‐a‐chip (OoC) platform enables cost‐effective, high‐throughput in vitro modeling. With vertical compartmentalization and gravity‐driven flow, it eliminates porous membranes and external pumps. Successfully generating intestine, cartilage, and tendon models, this study demonstrates drug responses, including 5‐fluorouracil
Xavier Barceló, Pooya Azizian, Blanca del Pozo, Marta Olle‐Monge, Lourdes Gombau, Joan M. Cabot   +5 more
wiley   +1 more source

Generalized Navier–Stokes equations and soft hairy horizons in fluid/gravity correspondence

Nuclear Physics B, 2021
The fluid/gravity correspondence establishes how gravitational dynamics, as dictated by Einstein's field equations, are related to the fluid dynamics, governed by the relativistic Navier–Stokes equations.
A.J. Ferreira–Martins, R. da Rocha
doaj  

Nonuniqueness of weak solutions to the Navier-Stokes equation

, 2018
For initial datum of finite kinetic energy, Leray has proven in 1934 that there exists at least one global in time finite energy weak solution of the 3D Navier-Stokes equations. In this paper we prove that weak solutions of the 3D Navier-Stokes equations
Buckmaster, Tristan, Vicol, Vlad
core   +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

Unconditional energy conservation and conditional regularity for the incompressible Navier-Stokes Maxwell system

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we study a hydrodynamic system modeling the evolution of a plasma subject to a self-induced electromagnetic Lorentz force in incompressible viscous fluids. The system consists of the Navier–Stokes equations coupled with a Maxwell equation.
Dandan Ma, Fan Wu
doaj   +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

Rheology of compressible and density-variable Newtonian flows: non-Stokes hypothesis and ‘volume diffusion’

Journal of Physics Communications
Stokes’ hypothesis allows for the frequent neglect of the bulk viscosity term related to fluid dilation effects on the viscous stress tensor in Newtonian flows.
S Kokou Dadzie
doaj   +1 more source

The Regularity Criteria and the A Priori Estimate on the 3D Incompressible Navier-Stokes Equations in Orthogonal Curvilinear Coordinate Systems

Journal of Function Spaces, 2020
The paper considers the regularity problem on three-dimensional incompressible Navier-Stokes equations in general orthogonal curvilinear coordinate systems.
Fan Geng, Shu Wang, Yongxin Wang
doaj   +1 more source

Finite Element Modelling of the Hydrodynamic Environment of a Small ROV [PDF]

Modeling, Identification and Control, 1993
This paper addresses a practical problem, namely, modeling the hydrodynamic environment of a small ROV. This has become the problem of solving time-dependent incompressible Navier-Stokes equations with moving boundaries and a new method is developed to ...
Ren Guang, Jens G. Balchen
doaj   +1 more source