Results 41 to 50 of about 195,120 (280)

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

Asymptotic Stability of Global Solutions to Non-isentropic Navier–Stokes Equations

Journal of Mathematics, 2023
This paper studies the asymptotic stability of global solutions of the three-dimensional nonisentropic compressible Navier–Stokes equations, where the initial data satisfy the “well-prepared” initial conditions, and the velocity field and temperature ...
Qingliu Li, Dandan Ren, Xinfeng Liang
doaj   +1 more source

Physics of Selective Targeting of Cancer Cells by Magnetoelectric Nanoparticles: Exploring the Role of Conductivity and Capacitance in Tumor‐Specific Attraction

Advanced Theory and Simulations, EarlyView.
Magnetoelectric nanoparticles exploit cancer cells' electrical vulnerabilities—altered membrane charge and higher capacitance—to achieve tumor‐specific targeting without bioreagents. MATLAB simulations reveal how electromagnetic forces create targeting specificity, while external magnetic fields enhance precision. This may enable wirelessly controlled,
Max Shotbolt, John Bryant, Ping Liang, Sakhrat Khizroev   +3 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

Toward a Universal Czochralski Growth Model Leveraging Data‐Driven Techniques

Advanced Theory and Simulations, EarlyView.
This data‐driven study investigates Czochralski growth using Decision Trees, Symbolic Regression, ANN, and SHAP to assess the impact of 21 process and design parameters on crystal quality. Trained on 632 CFD simulation datasets across four crystalline materials, it demonstrates the feasibility of a universal Cz model applicable to various ...
Natasha Dropka, Milena Petkovic, Christiane Frank‐Rotsch, David Linke, Martin Holena   +4 more
wiley   +1 more source

Precision‐Arranged DNA Origami Plasmonic Nanoantennas for Multidimensional Smart‐Warning of Weightlessness Induced Bone Loss

Advanced Science, EarlyView.
It is synthesized precision‐arranged DNA origami plasmonic nanoantennas for multiplexed and intelligent warning of bone loss induced by microgravity and radiation. The ordered nanoantennas simultaneously and accurately detected calcium ions, interleukin‐6, and microRNA‐214 in serum from mice exposed to microgravity and radiation, with performance ...
Yufan Ling, Xuan Qin, Weijia Sun, Fan Yue, Yiwei Wang, Di Fan, Haoyuan Xu, Ruao Xie, Jiawei Zhang, Jianwei Li, Bingyan Li, Yang Yang, Yingxian Li, Houyu Wang, Guangming Zhou   +14 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  

An Automated Lab‐On‐A‐Chip Approach for Pollen Tube Growth Manipulation in a Controlled Chemical Environment

Advanced Science, EarlyView.
Here, a microfluidic‐based robotic lab‐on‐a‐chip (LoC) device is presented for automated, continuous‐flow investigation and manipulation of single pollen tube growth under precisely controlled chemical gradients. This closed‐loop system streamlines data collection and analysis while enhancing experimental precision compared to manual methods ...
Jiawei Zhu, Marta Belloli, João P. Vale, Vitaly Pustovalov, Peter Fischer, Hannes Vogler, Tiago S. Mayor, Salvador Pané, Semih Sevim, Ueli Grossniklaus, Bradley J. Nelson   +10 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

Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations

, 2018
Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map for recovering the full trajectories from their corresponding coarse mesh
Biswas, Animikh, Foias, Ciprian, Mondaini, Cecilia F., Titi, Edriss S.   +3 more
core   +1 more source