Singularity \& Regularity Issues for Simplified Models of Turbulence
We consider a family of Leray-$\alpha$ models with periodic boundary conditions in three space dimensions. Such models are a regularization, with respect to a parameter $\theta$, of the Navier-Stokes equations. In particular, they share with the original
Ali, Hani, Ammari, Zied
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Mathematical modelling of the cardiovascular system
In this paper we will address the problem of developing mathematical models for the numerical simulation of the human circulatory system.
Quarteroni, Alfio
core
Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics. [PDF]
Tang Q, Hou M, Xiao Y, Yin L.
europepmc +1 more source
Stochastic Navier-Stokes Equations on a Thin Spherical Domain. [PDF]
Brzeźniak Z, Dhariwal G, Le Gia QT.
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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]
Carasso AS.
europepmc +1 more source
Time-dependent coupling of Navier–Stokes and Darcy flows
A. Çesmelioglu, V. Girault, B. Rivière
semanticscholar +1 more source
STABLE EXPLICIT STEPWISE MARCHING SCHEME IN ILL-POSED TIME-REVERSED 2D BURGERS' EQUATION. [PDF]
Carasso AS.
europepmc +1 more source
Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data
Y. Giga, K. Inui, A. Mahalov, J. Saal
semanticscholar +1 more source
Vanishing viscosity plane parallel channel flow and related singular perturbation problems
A. Mazzucato, Michael Taylor
semanticscholar +1 more source
Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness. [PDF]
Abels H, Garcke H, Poiatti A.
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