Results 51 to 60 of about 223,865 (275)

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

Advanced Multiscale Modeling for Revealing Anomalous Fluid Transport Induced by Confinement Interfacial Layer Reconstruction in Sub‐10 nm Space

Advanced Science, EarlyView.
Integrating experimental insights with molecular dynamics simulations, we establish an advanced mathematical model for fluids confined in sub‐10‐nm channels, enabling quantitative prediction of interfacial layer thickness and viscosity by accounting for channel material, temperature, and fluid properties.
Xiang Zhang, Bing Wei, Jingyi Wang, Runnan Wu   +3 more
wiley   +1 more source

Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes

Cubo, 2010
We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution.
S Albeverio, Ya Belopolskaya
doaj  

Developing Micro/Nanostructured Fluidic Mixing Technology for Biomedical Applications

Advanced Science, EarlyView.
This review critically evaluates how micro/nanostructured mixing technologies are redefining biomedical research. By synergizing fundamental analysis, numerical modeling, structural design, and external field manipulation, these systems attain unprecedented control over mass transport.
Junkai Wang, Hanxu Chen, Yile Fang, Yuanjin Zhao   +3 more
wiley   +1 more source

Computational study of permeability in cardboard coating layers

AIChE Journal, EarlyView.
Abstract We develop a virtual material structure model based on a combination of tessellations and Gaussian random fields for a coating layer of paperboard used for packaging and designed to facilitate printing on the surface. To fit the model to tomographic image data acquired using combined focused ion beam and scanning electron microscopy (FIB‐SEM),
Sandra Barman, Torben Nilsson Pingel, Niklas Lorén, Tobias Gebäck, Eva Olsson, Aila Särkkä, Magnus Röding   +6 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

A Computational Approach for Biomimetic Design of Liver‐On‐A‐Chip

Advanced Intelligent Discovery, EarlyView.
A biomimetic liver‐on‐a‐chip with antiparallel perfusion was designed using COMSOL‐guided simulation to replicate hepatic acinus transport. Full‐scale modelling revealed diffusion‐dominated, length‐dependent nutrient gradients and low‐shear conditions.
Zhenxu Yang, Qiankun Yin, Qingxin Liu, Zhejun Xu, Ye Zhang, Christopher Vega‐Sánchez, Xiaochen Liu, Daniele Vigolo, Jiao Jiao Li, Ken‐Tye Yong   +9 more
wiley   +1 more source

Spectral discretization of time-dependent vorticity–velocity–pressure formulation of the Navier–Stokes equations

Boundary Value Problems, 2020
In this work, we propose a nonstationary Navier–Stokes problem equipped with an unusual boundary condition. The time discretization of such a problem is based on the backward Euler’s scheme.
Mohamed Abdelwahed, Nejmeddine Chorfi
doaj   +1 more source

Microrobotic Catheterization of the Ophthalmic Artery for Targeted Treatment of Retinoblastoma

Advanced Intelligent Systems, EarlyView.
A microrobotic platform is presented that allows teleoperated and autonomous navigation of flow‐driven magnetic microcatheters, MagFlow, into the ophthalmic artery for superselective intra‐arterial infusion of chemotherapy to treat retinoblastoma. Extensive benchtop validations with patient‐derived biomimetic phantoms under optical and fluoroscopic ...
Artur Banach, Mehdi Krichen, Julian Raub, Christina Stathopoulos, Bruno Bartolini, Mahmut Selman Sakar   +5 more
wiley   +1 more source

EMG‐Driven Telemetry and Inference System for Fish: Pose Reconstruction and Flow Sensing

Advanced Intelligent Systems, EarlyView.
This work introduces an electromyography (EMG)‐driven telemetry framework that reconstructs body pose and infers hydrodynamic conditions in freely swimming fish. A custom 16‐channel archival system records intramuscular EMG, enabling deep‐learning models to decode joint kinematics, classify flow regimes, and reveal channel‐efficient sensing strategies.
Rahdar Hussain Afridi, Waqar Hussain Afridi, Muhammad Hamza, Ahsan Tanveer, Mingxin Wu, Xingwen Zheng, Liang Li, Guangming Xie   +7 more
wiley   +1 more source