Results 41 to 50 of about 331,405 (340)
Mathematics, 2023 Since Sir Osborne Reynolds presented the Reynolds-averaged Navier–Stokes (RANS) equations in 1895, the construction of complete closure for RANS equations has been regarded as extremely challenging.
Sungmin Ryu
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Lid-driven cavity flow using dual reciprocity [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the multi-domain dual reciprocity method of fundamental solutions (MD-MFSDR) for the analysis of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj, Bulko Roman
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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
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Photothermal Transport for Guiding Nanoparticles Through the Vitreous Humor
Advanced Science, EarlyView.Nanosecond laser irradiation of the clinically approved dye indocyanine green (ICG) enables light‐guided nanoparticle transport within the vitreous humor. The combined use of ICG and pulsed laser illumination induces localized convection and thermophoresis, directing particles toward illuminated regions.
Léa Guerassimoff +9 more
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Analysis of a mathematical model related to Czochralski crystal growth
Abstract and Applied Analysis, 1998 This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively.
Petr Knobloch, Lutz Tobiska
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Global regularity to the Navier-Stokes equations for a class of large initial data
Mathematical Modelling and Analysis, 2018 In [5], Chemin, Gallagher and Paicu proved the global regularity of solutions to the classical Navier-Stokes equations with a class of large initial data on T2 × R.
Bin Han, Yukang Chen
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Advanced Science, EarlyView.This work demonstrates ultra‐high ON‐OFF responsivity of AJP by mechanical switching valve assisted shuttering. The jet relaxation and ON‐OFF delay are substantially eliminated from greater than 35 s, maintaining patterning quality independent of the variations of printing parameters, permitting excellent process stability and universality.
Jinhang Wang +6 more
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Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1 [PDF]
Journal of the European Mathematical Society (Print), 2018 We prove non-uniqueness for a class of weak solutions to the Navier-Stokes equations which have bounded kinetic energy, integrable vorticity, and are smooth outside a fractal set of singular times with Hausdorff dimension strictly less than 1.
T. Buckmaster, Maria Colombo, V. Vicol
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Reconfigurable Acoustofluidic Microvortices for Selective Microcargo Delivery
Advanced Science, EarlyView.This work introduces a frequency‐encoded, reconfigurable acoustofluidic system that overcomes the low throughput and poor selectivity of conventional micro‐delivery methods. By exploiting discrete microbubble resonances to program adaptive microvortex modes, the platform enables real‐time switching and selective guidance of microscale payloads through ...
Lei Wang +6 more
wiley +1 more source
Global regularity for a family of 3D models of the axisymmetric Navier-Stokes equations [PDF]
, 2017 We consider a family of 3D models for the axi-symmetric incompressible Navier-Stokes equations. The models are derived by changing the strength of the convection terms in the axisymmetric Navier-Stokes equations written using a set of transformed ...
Hou, Thomas Y, Liu, Pengfei, Wang, Fei
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