Results 61 to 70 of about 165,234 (204)

2D constrained Navier–Stokes equations

Journal of Differential Equations, 2018
We study 2D Navier-Stokes equations with a constraint on $L^2$ energy of the solution. We prove the existence and uniqueness of a global solution for the constrained Navier-Stokes equation on $\R^2$ and $\T$, by a fixed point argument. We also show that the solution of constrained Navier-Stokes converges to the solution of Euler equation as viscosity $
Brzezniak, Zdzislaw, Dhariwal, Gaurav, Mariani, Mauro   +2 more
openaire   +4 more sources

Computational and AI‐Driven Design of Hydrogels for Bioelectronic Applications

Advanced Electronic Materials, EarlyView.
This review highlights the role of AI in advancing hydrogel design for bioelectronics, exploring natural, and synthetic gels tailored for applications like wound healing, biosensing, and tissue engineering. It emphasizes the synergy between hydrogels, electronics, and AI in creating responsive, multifunctional systems, showcasing recent innovations ...
Rebekah Finster, Prashant Sankaran, Eloise Bihar   +2 more
wiley   +1 more source

Advanced Microfluidic‐Based Wearable Electrochemical Sensors for Continuous Biochemical Monitoring

Advanced Electronic Materials, EarlyView.
Microfluidic‐based wearable electrochemical sensors are transforming non‐invasive health monitoring through real‐time biochemical analysis of sweat, saliva, and interstitial fluid. This review explores advances in microfluidic design, fabrication, and sensor integration while addressing biofluid variability, material compatibility, and scalability.
Sehyun Park, Seongyeop Kim, Soojin Lee, Vladimir V. Tsukruk, SeungHyun Park, Hyo‐Ryoung Lim   +5 more
wiley   +1 more source

On Symmetry Breaking for the Navier–Stokes Equations [PDF]

Communications in Mathematical Physics
Theorem added regarding isotropic norm inflation. Updated the introduction and acknowledgements.
Tobias Barker, Christophe Prange, Jin Tan   +2 more
openaire   +3 more sources

Decoupling Membrane Electrode Assembly Materials Complexity from Fuel Cell Performance through Image‐Based Multiphase and Multiphysics Modelling

Advanced Energy Materials, EarlyView.
A high‐resolution image‐based multiphase and multi‐physics modelling framework is developed to decouple structural changes in the membrane electrode assemblies of high‐temperature proton exchange membrane fuel cells. These changes are then digitally combined to show how morphological defects such as membrane pores, catalyst cracks, and phase migration ...
Jianuo Chen, Wenjia Du, Zunmin Guo, Xuekun Lu, Matthew P. Tudball, Xiaochen Yang, Zeyu Zhou, Shangwei Zhou, Alexander Rack, Bratislav Lukic, Paul R. Shearing, Sarah J. Haigh, Stuart M. Holmes, Thomas S. Miller   +13 more
wiley   +1 more source

The second iterate for the Navier–Stokes equation

Journal of Functional Analysis, 2008
We consider the iterative resolution scheme for the Navier-Stokes equation, and focus on the second iterate, more precisely on the map from the initial data to the second iterate at a given time t. We investigate boundedness properties of this bilinear operator.
openaire   +3 more sources

A Magnetically Transformable Twisting Millirobot for Cargo Delivery at Low Reynolds Number

Advanced Intelligent Systems, EarlyView.
Herein, a soft millirobot, TwistBot, that transforms from a flat shape to a helical shape to propel in fluids at low Reynolds number is reported. Its geometry is optimized by numerical simulation and validated by experiments to effectively propel and deliver solid cargos.
Moonkwang Jeong, Jiyuan Tian, Meng Zhang, Tian Qiu   +3 more
wiley   +1 more source

Decay of the Navier–Stokes–Poisson equations

Journal of Differential Equations, 2012
We establish the time decay rates of the solution to the Cauchy problem for the compressible Navier-Stokes-Poisson system via a refined pure energy method. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained.
openaire   +4 more sources

3D Locomotion of Surface‐Rolling Microrobots: A Trade‐off between Hydrodynamic Wall and Gravitational Effects

Advanced Intelligent Systems, EarlyView.
This study investigates 3D locomotion of surface‐rolling microrobots, revealing a trade‐off between hydrodynamic wall effects and gravity. Through experiments and simulations, it explores how robot size, inclination angle, actuation frequency, and surface microtopography affect the 3D locomotion.
Myungjin Park, Ugur Bozuyuk, Erdost Yildiz, Hyeongho Min, Jungwon Yoon, Metin Sitti   +5 more
wiley   +1 more source

Free‐space Optical Computing Systems

Annalen der Physik, EarlyView.
Manipulation and propagation of optical wavefronts in free space enables new intelligent computing hardware. Two types of optical computing systems, matrix and vector multiplication systems and diffractive optical neural network systems, are reviewed from material, device, and system aspects.
Ruiyang Chen, Weilu Gao
wiley   +1 more source