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Non-stationary Navier–Stokes equations in 2D power cusp domain
Advances in Nonlinear Analysis, 2021 The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. We consider the case where the boundary value has a nonzero flux over the boundary.
Pileckas Konstantin, Raciene Alicija
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Global weak solution of 3D-NSE with exponential damping
Open Mathematics, 2022 In this paper, we prove the global existence of incompressible Navier-Stokes equations with damping α(eβ∣u∣2−1)u\alpha \left({e}^{\beta | u{| }^{2}}-1)u, where we use the Friedrich method and some new tools.
Benameur Jamel
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On the existence of global weak solutions of a 2D sediment transport model
Nonautonomous Dynamical Systems, 2022 In the abstract, homogenize the references as follows: In this paper,we study the existence of global weak solutions of a two dimensionnal model. The model is inspired by the one studied in [Math. Models Methods Appl. Sci. 19 (2009), 477-499].
Zongo Yacouba +3 more
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Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping
Demonstratio 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
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On the problem of detecting source points acting on a fluid
Demonstratio Mathematica, 2023 The detection problem of a finite number of source points acting on a steady incompressible fluid flow from overdetermined boundary data was studied. The approach used in this study deals with the topological sensitivity technique. An asymptotic analysis
Abdelwahed Mohamed, Chorfi Nejmeddine
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On the uniqueness for weak solutions of steady double-phase fluids
Advances in Nonlinear Analysis, 2021 We consider a double-phase non-Newtonian fluid, described by a stress tensor which is the sum of a p-Stokes and a q-Stokes stress tensor, with 1
Abdelwahed Mohamed +2 more
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Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions
Advances in Nonlinear Analysis, 2022 In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure.
Abdelwahed Mohamed, Chorfi Nejmeddine
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On Bohr's inequality for special subclasses of stable starlike harmonic mappings
Open 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
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The Steady Motion of a Symmetric, Finite Core Size, Counterrotating Vortex Pair [PDF]
, 1994 The steady motion of a symmetric, finite core size, counterrotating vortex pair is characterized by circulation r, a velocity V, and a spacing 2x_∞. In the classical limit of a point vortex, the normalized velocity, vx_∞/r, is 1/(4π).
Kubota, Toshi, Yang, Joseph
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Global existence of a radiative Euler system coupled to an electromagnetic field
Advances in Nonlinear Analysis, 2018 We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrodynamics, namely, the 3D radiative compressible Euler system coupled to an electromagnetic field.
Blanc Xavier +2 more
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