Results 41 to 50 of about 195,153 (293)
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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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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Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore
Advanced Functional Materials, EarlyView.To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul +8 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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On the accuracy of difference scheme for Navier-Stokes equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The article presents a study of difference schemes in time, which accuracy can be arbitrarily high. We present difference schemes in time for solving the Navier-Stokes equations, where series expansions are used to find the singularities of solutions of ...
Nikolay I Sidnyaev, Nadezhda M Gordeeva
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Advanced Healthcare Materials, EarlyView.This study presents a bone‐on‐a‐chip platform incorporating TPMS scaffolds to study geometry‐dependent osteogenesis under dynamic flow. By tuning pore shape and solidity, it precisely controls mechanical cues, revealing how topological features and shear stress affect osteogenic differentiation and matrix formation.
Donggyu Kim +5 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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, 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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Leveraging Transfer Learning to Overcome Data Limitations in Czochralski Crystal Growth
Advanced Theory and Simulations, EarlyView.A data‐driven framework combining Computational Fluid Dynamics (CFD) simulations and machine learning is proposed to model and optimize Czochralski crystal growth. Using different transfer learning strategies (Warm Start, Merged Training, and Hyperparameter Transfer) the study demonstrates improved predictions for Ge and GaAs growth from Si‐trained ...
Milena Petkovic +3 more
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Angewandte Chemie, EarlyView.A one‐step multi‐component synthetic approach is reported to construct α‐aryl‐substituted DOTAs, which required tedious multi‐step synthesis in all previous works. The synthesized α‐aryl‐substituted DOTAs showed improved performance for developing multifunctional theranostics and represent a universal platform for bioconjugation. Abstract α‐Substituted
Pak‐Lun Lam +8 more
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