Results 51 to 60 of about 3,244,761 (335)

Well-posedness for the Navier–Stokes Equations

, 2001
where u is the velocity and p is the pressure. It is well known that the NavierStokes equations are locally well-posed for smooth enough initial data as long as one imposes appropriate boundary conditions on the pressure at ∞.
H. Koch, D. Tataru
semanticscholar   +1 more source

Laser Additive Manufacturing of Oxide‐Dispersion‐Strengthened Steels: A Simulation‐Based Comparison Between Powder Bed Fusion and Direct Energy Deposition

Advanced Engineering Materials, EarlyView.
Controlling the size and distribution of dispersoids is essential for optimizing the performance of oxide‐dispersion‐strengthened steels. This study focuses on nanoparticle dispersion and agglomeration during laser additive manufacturing of Fe20Cr alloy reinforced with ZrO 2 nanoparticles. Utilizing multiphysics phase‐field simulations and nanoparticle
Somnath Bharech, Yangyiwei Yang, Timileyin David Oyedeji, Prasanth Bondi, Mareen Goßling, Bilal Gökce, Bai‐Xiang Xu   +6 more
wiley   +1 more source

The Incompressible Navier‐Stokes Equations in Vacuum [PDF]

Communications on Pure and Applied Mathematics, 2017
We are concerned with the existence and uniqueness issue for the inhomogeneous incompressible Navier‐Stokes equations supplemented with H1 initial velocity and only bounded nonnegative density. In contrast to all the previous works on those topics, we do
R. Danchin, Piotr Bogusław Mucha
semanticscholar   +1 more source

Print‐and‐Plate Architected Electrodes for Electrochemical Transformations Under Flow

Advanced Functional Materials, EarlyView.
Typical flow cell electrodes are composed of stochastic porous carbon, limiting understanding of electrode structure‐performance relationships. This work describes an approach, termed “print‐and‐plate,” to prepare porous electrodes by direct ink writing followed by conformal metal coating.
Dylan M. Barber, Sofía Edgar, Michael S. Emanuel, Michael D. Nelwood, Bok Yeop Ahn, Benito Román‐Manso, Thomas Cochard, Justin Platero, Kiana Amini, Chris H. Rycroft, Shmuel Rubinstein, Michael J. Aziz, Jennifer A. Lewis   +12 more
wiley   +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

The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations [PDF]

Journal of Scientific Computing, 2017
In this work we prove that the original (Bassi and Rebay in J Comput Phys 131:267–279, 1997) scheme (BR1) for the discretization of second order viscous terms within the discontinuous Galerkin collocation spectral element method (DGSEM) with Gauss ...
G. Gassner, A. R. Winters, F. Hindenlang, D. Kopriva   +3 more
semanticscholar   +1 more source

Flow‐Induced Vascular Remodeling on‐Chip: Implications for Anti‐VEGF Therapy

Advanced Functional Materials, EarlyView.
Flow‐induced vascular remodeling plays a critical role in network stabilization and function. Using a vasculature‐on‐chip system, this study reveals how physiological VEGF levels and flow affect vascular remodeling and provides insights into tumor vessel normalization.
Fatemeh Mirzapour‐Shafiyi, Elias Huber, Leonie Karr, Johnny Tong, Andreas Richard Bausch, Friedrich Christian Simmel, Karen Alim   +6 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  

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

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