Results 11 to 20 of about 1,712 (58)

Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components

open access: yesAdvances 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
doaj   +1 more source

On Bohr's inequality for special subclasses of stable starlike harmonic mappings

open access: yesOpen Mathematics, 2023
The focus of this article is to explore the Bohr inequality for a specific subset of harmonic starlike mappings introduced by Ghosh and Vasudevarao (Some basic properties of certain subclass of harmonic univalent functions, Complex Var. Elliptic Equ. 63 (
Jin Wei   +3 more
doaj   +1 more source

Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping

open access: yesDemonstratio Mathematica, 2023
We study the uniqueness, the continuity in L2{L}^{2}, and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term a(eb∣u∣2−1)ua\left({e}^{b| u{| }^{{\bf{2}}}}-1)u, (a,b>0a ...
Blel Mongi, Benameur Jamel
doaj   +1 more source

Analysis of a mathematical model related to Czochralski crystal growth

open access: yesAbstract and Applied Analysis, Volume 3, Issue 3-4, Page 319-342, 1998., 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. The equations are considered in 3D and a velocity–pressure formulation of the Navier–Stokes equations is used.
Petr Knobloch, Lutz Tobiska
wiley   +1 more source

Results on existence for generalized nD Navier-Stokes equations

open access: yesOpen 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
doaj   +1 more source

On a viscous two-fluid channel flow including evaporation

open access: yesOpen 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
doaj   +1 more source

Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space

open access: yesOpen Mathematics, 2022
In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
doaj   +1 more source

Self-Similar Solutions with Elliptic Symmetry for the Compressible Euler and Navier-Stokes Equations in R^{N}

open access: yes, 2011
Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (N\geq2).
Yuen, Manwai
core   +1 more source

Development of local, global, and trace estimates for the solutions of elliptic equations

open access: yes, 2001
Abstract and Applied Analysis, Volume 6, Issue 3, Page 131-150, 2001.
Moulay D. Tidriri
wiley   +1 more source

A survey on some vanishing viscosity limit results

open access: yesAdvances in Nonlinear Analysis, 2023
We present a survey concerning the convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations to solutions of the Euler equations.
Beirão da Veiga Hugo, Crispo Francesca
doaj   +1 more source

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