Results 51 to 60 of about 331,405 (340)
Partial Differential Equations in Applied MathematicsThe 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 +2 more
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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 +5 more
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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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A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier–Stokes Equations [PDF]
, 2022 G. Serëgin
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, 1988 Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.
Constantin, P., Foias, C.
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Electrodialysis plays an important role in lithium extraction from brine. A two‐dimensional mathematical model for steady electrolyte transport during electrodialysis desalination is constructed in this study to uncover the mechanism of lithium‐ion transfer and forecast the behavior of electrodialysis.
Kang Li +5 more
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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.
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT The utilisation of viscoelastic Walter's B nanoliquid in engineering and biomedical applications gained substantial attention because of its ability to provide real‐time fluid behaviour, particularly in the heat flow mechanism. In particular, the flow of viscoelastic fluid over an elongating surface is useful in polymer processing and ...
Laxmipriya Swain +3 more
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, 2011 Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (N\geq2).
Yuen, Manwai
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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
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