The Journal of Physiology, EarlyView.Abstract figure legend Non‐Newtonian modelling and GPEs for stroke risk in atrial fibrilation patients. Abstract Atrial fibrillation (AF) is the most common heart arrhythmia, linked to a five‐fold increase in stroke risk. The left atrial appendage (LAA), prone to blood stasis, is a common thrombus formation site in AF patients.
Paolo Melidoro +12 more
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Electronic Journal of Differential Equations, 2016 This article is devoted to the study of the nonhomogeneous incompressible Navier-Stokes equations in space dimension three. By making use of the "weakly nonlinear" energy estimate approach introduced by Lei and Zhou in [16], we establish two ...
Qianqian Hou, Xiaojing Xu, Zhuan Ye
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Structure of Helicity and Global Solutions of Incompressible Navier–Stokes Equation [PDF]
, 2015 Zhen Lei, Fang-Hua Lin, Yi Zhou
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Variable density model for the Rayleigh-Taylor instability and its transformation to the diffusive, inhomogeneous, incompressible Navier-Stokes equations [PDF]
, 2021 John Gibbon
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Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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COMPUTING ILL-POSED TIME-REVERSED 2D NAVIER-STOKES EQUATIONS, USING A STABILIZED EXPLICIT FINITE DIFFERENCE SCHEME MARCHING BACKWARD IN TIME. [PDF]
Inverse Probl Sci Eng, 2020 Carasso AS.
europepmc +1 more source
Study of the mixed finite volume method for Stokes and Navier‐Stokes equations
, 2008 Jérôme Droniou, Robert Eymard
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Determining white noise forcing from Eulerian observations in the Navier-Stokes equation [PDF]
, 2014 Viêt Hà Hòang +2 more
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Partial Regularity for Navier-Stokes Equations
Journal of Mathematical Fluid MechanicsWe prove, with a more geometric approach, that the solutions to the Navier-Stokes equations are regular up to a set of Hausdorff dimension 1. The main tool for the proof is a new compactness lemma and the monotonicity property of harmonic functions.
openaire +3 more sources
A Mathematical Model for Two‐Phase Flow in Confined Environments: Numerical Solution and Validation
International Journal for Numerical Methods in Fluids, Volume 98, Issue 3, Page 306-320, March 2026.We present a numerical framework based on the Cahn‐Hilliard‐Navier‐Stokes (CHNS) model to simulate biphasic flow in confined environments. After deriving the mathematical model, we develop the weak form of the system of PDEs using a pedagogical approach to enable its implementation in FEniCS.
Giuseppe Sciumè +3 more
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