Results 31 to 40 of about 32,174 (313)
On unbiased stochastic Navier–Stokes equations [PDF]
Probability Theory and Related Fields, 2011 A random perturbation of a deterministic Navier-Stokes equation is considered in the form of an SPDE with Wick type nonlinearity. The nonlinear term of the perturbation can be characterized as the highest stochastic order approximation of the original nonlinear term u\nabla u.
Boris Rozovskii, R. Mikulevicius
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Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
Advanced Engineering Materials, EarlyView.This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani +4 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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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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Observers for Compressible Navier--Stokes Equation [PDF]
SIAM Journal on Control and Optimization, 2018 We consider a multi-dimensional model of a compressible fluid in a bounded domain. We want to estimate the density and velocity of the fluid, based on the observations for only velocity. We build an observer exploiting the symmetries of the fluid dynamics laws.
Apte, Amit +2 more
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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 +6 more
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Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point.
Min Ling, Weimin Han
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A variational approach to the Navier–Stokes equations
Bulletin des Sciences Mathématiques, 2012 We propose a time discretization of the Navier-Stokes equations inspired by the theory of gradient flows. This discretization produces Leray/Hopf solutions in any dimension and suitable solutions in dimension 3. We also show that in dimension 3 and for initial datum in H1, the scheme converges to strong solutions in some interval [0, T ) and, if the ...
Gigli, Nicola, Mosconi, S.
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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 +12 more
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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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