Results 51 to 60 of about 63,459 (307)
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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NAVIER–STOKES EQUATIONS ON THE β-PLANE [PDF]
, 2012 Mathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navier–Stokes equation on the β-plane with periodic boundary conditions. This equation describes the flow of fluid near the equator of the Earth. The long time
Al-Jaboori, Mustafa Ali Hussain +1 more
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Hydrogel‐Based Airway‐on‐Tube With Perfusable Endothelial Lumen and Outward Epithelialization
Advanced Materials, EarlyView.A hydrogel‐based airway‐on‐tube platform featuring a perfusable endothelial lumen and outward epithelialization is presented. The system supports primary human bronchial epithelial and lung microvascular endothelial coculture under air‐liquid interface conditions.
Ali Doryab +8 more
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Advanced Science, EarlyView.A healthy gut barrier shields underlying fibroblasts from luminal shear forces, illustrating that “good fences make good neighbors.” Barrier damage exposes fibroblasts to shear stress, inducing cell death and the emergence of stress‐adapted, profibrotic fibroblasts. Sustained shear exposure promotes the formation of stiff aggregates of mechanoadapative
Soyoun Min +6 more
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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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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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Mathematics, 2023 In this paper, we first present an overview of the results related to energy conservation in spaces of Hölder-continuous functions for weak solutions to the Euler and Navier–Stokes equations.
Luigi C. Berselli
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Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows [PDF]
, 2005 We present a review of the semi-Lagrangian method for advection-diusion and incompressible Navier-Stokes equations discretized with high-order methods.
Xiu,D. +7 more
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Lymphoid‐Tissue‐on‐Chip Recapitulates Human Antibody Responses In Vitro
Advanced Science, EarlyView.The presented lymphoid‐tissue‐on‐chip system allows culture of primary human tonsil cells at organotypic high density under perfusion for up to 4 weeks, emulates immune response to soluble vaccines and vaccination via peripheral antigen‐presenting cells and represents a useful tool to assess cellular interactions during homeostasis, immune responses ...
Claudia Teufel +15 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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