Remarks on analytical solutions to compressible Navier–Stokes equations with free boundaries
In this paper, we consider the free boundary problem of the radially symmetric compressible Navier–Stokes equations with viscosity coefficients of the form μ(ρ) = ρ θ, λ(ρ) = (θ − 1)ρ θ in RN ${\mathbb{R}}^{N}$ .
Dong Jianwei, Yuen Manwai
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Modelling of the fluid flow in a thin domain with injection through permeable boundary
In this paper, we derive the effective model describing a thin-domain flow with permeable boundary through which the fluid is injected into the domain. We start with incompressible Stokes system and perform the rigorous asymptotic analysis.
Eduard Marušić-Paloka, Igor Pažanin
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Local and global solvability for the Boussinesq system in Besov spaces
This article focuses on local and global existence and uniqueness for the strong solution to the Boussinesq system in Rn{{\mathbb{R}}}^{n} (n≥3n\ge 3) with full viscosity in Besov spaces.
Yan Shuokai, Wang Lu, Zhang Qinghua
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A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization
We propose a new blow-up criterion for the 3D Euler equations of incompressible fluid flows, based on the 3D Euler-Voigt inviscid regularization. This criterion is similar in character to a criterion proposed in a previous work by the authors, but it is ...
Larios, Adam, Titi, Edriss S.
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Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics. [PDF]
Tang Q, Hou M, Xiao Y, Yin L.
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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.
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A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient
Bosia Stefano+2 more
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STABLE EXPLICIT STEPWISE MARCHING SCHEME IN ILL-POSED TIME-REVERSED 2D BURGERS' EQUATION. [PDF]
Carasso AS.
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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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