Results 21 to 30 of about 183,211 (204)
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
doaj +1 more source
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
doaj +1 more source
Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations
, 2004 The article is devoted to the study of non-autonomous Navier-Stokes equations. First, the authors have proved that such systems admit compact global attractors.
Cheban, David, Duan, Jinqiao
core +1 more source
Navier-Stokes Equations with Potentials
Abstract and Applied Analysis, 2007 We study Navier-Stokes equations perturbed with a maximal monotone operator, in a bounded domain, in 2D and 3D. Using the theory of nonlinear semigroups, we prove existence results for strong and weak solutions. Examples are also provided.
Adriana-Ioana Lefter
doaj +1 more source
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
doaj +1 more source
Inviscid limit of stochastic damped 2D Navier-Stokes equations
, 2012 We consider the inviscid limit of the stochastic damped 2D Navier- Stokes equations. We prove that, when the viscosity vanishes, the stationary solution of the stochastic damped Navier-Stokes equations converges to a stationary solution of the stochastic
Bessaih, H., Ferrario, B.
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
Computational Modeling Meets 3D Bioprinting: Emerging Synergies in Cardiovascular Disease Modeling
Advanced Healthcare Materials, EarlyView.Emerging advances in three‐dimensional bioprinting and computational modeling are reshaping cardiovascular (CV) research by enabling more realistic, patient‐specific tissue platforms. This review surveys cutting‐edge approaches that merge biomimetic CV constructs with computational simulations to overcome the limitations of traditional models, improve ...
Tanmay Mukherjee +7 more
wiley +1 more source
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
doaj +1 more source