Results 31 to 40 of about 142 (114)

Partial Regularity of Hopf Weak Solutions of the Navier-Stokes Equations, which Satisfy a Suitable Extra-Condition [PDF]

, 2018
We estimate the Hausdorff dimension of the set S of the possible singular points, associated to a Hopf weak solution which satisfies a suitable extracondition.
Mauro, Jimmy Alfonso
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Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components

Advances in Nonlinear Analysis, 2019
H.-O. Bae and H.J. Choe, in a 1997 paper, established a regularity criteria for the incompressible Navier-Stokes equations in the whole space ℝ3 based on two velocity components. Recently, one of the present authors extended this result to the half-space
Veiga Hugo Beirão da, Yang Jiaqi
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Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier–Stokes Equations: I. Weak Solution Existence [PDF]

Data Availability Statement: This paper has no associated data.MSC: 35A1; 35B10; 35K45; 35Q30; 76D05.We consider evolution (non-stationary) spatially-periodic solutions to the n-dimensional non-linear Navier–Stokes equations of anisotropic fluids with ...
Mikhailov, SE
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Global well-posedness of a nonlinear Boussinesq-fluid-structure interaction system with large initial data

Advances in Nonlinear Analysis
In this article, we consider the global well-posedness of the initial-boundary value problem to a nonlinear Boussinesq-fluid-structure interaction system, which describes the motion of an incompressible Boussinesq-fluid surrounded by an elastic structure
Zhang Jie, Wang Shu, Shen Lin
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Results on existence for generalized nD Navier-Stokes equations

Open Mathematics, 2019
In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
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Heat Transfer Analysis from an Elliptic Cylinder at Moderately High Reynolds Number Flows [PDF]

, 2015
Heat transfer from an elliptic cylinder placed normal to a uniform flow at moderately high Reynolds numbers is analyzed, using a spectral finite difference scheme.
Akita, Daisuke, Mochimaru, Yoshihiro
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Well-posedness of evolutionary Stokes–Darcy model governed by a hemivariational inequality

Advances in Nonlinear Analysis
The paper deals with the well-posedness of the time-dependent Stokes–Darcy model for an incompressible fluid in a bounded domain. The no-leak boundary condition and a multivalued nonmonotone slip condition of “friction type” is assumed.
Migórski Stanisław, Dudek Sylwia
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Estimates in Morrey-Campanato Spaces of a Suitable Weak Solution of the Navier-Stokes Equations, Satisfying an Extra-Condition [PDF]

, 2019
We consider a study of regularity, by means of the theory of Morrey-Campanato spaces, of suitable weak solutions of the Cauchy problem for the non-stationary Navier-Stokes equations, which satisfy a suitable extra-condition. According to what is known at
Mauro, Jimmy Alfonso
core  

Local and global solvability for the Boussinesq system in Besov spaces

Open Mathematics
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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On a viscous two-fluid channel flow including evaporation

Open Mathematics, 2018
In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
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