Results 41 to 50 of about 32,174 (313)
The Incompressible Navier‐Stokes Equations in Vacuum [PDF]
Communications on Pure and Applied Mathematics, 2018 AbstractWe 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 not require regularity or a positive lower bound for the initial density or compatibility ...
Danchin, Raphaël +1 more
openaire +4 more sources
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 +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
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About the Regularized Navier?Stokes Equations [PDF]
Journal of Mathematical Fluid Mechanics, 2005 The first goal of this paper is to study the large time behavior of solutions to the Cauchy problem for the 3-dimensional incompressible Navier-Stokes system. The Marcinkiewicz space $L^{3,\infty}$ is used to prove some asymptotic stability results for solutions with infinite energy.
Grzegorz Karch +2 more
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Sharp nonuniqueness for the Navier–Stokes equations
Inventiones mathematicae, 2022 minor corrections, to appear in ...
Cheskidov, Alexey, Luo, Xiaoyutao
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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 +5 more
wiley +1 more source
On the Dynamics of Navier-Stokes and Euler Equations [PDF]
Journal of Statistical Physics, 2008 This is a rather comprehensive study on the dynamics of Navier-Stokes and Euler equations via a combination of analysis and numerics. We focus upon two main aspects: (a). zero viscosity limit of the spectra of linear Navier-Stokes operator, (b). heteroclinics conjecture for Euler equation, its numerical verification, Melnikov integral, and simulation ...
Yueheng Lan, Y. Charles Li
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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 +5 more
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential EquationsIn 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