Non-stationary Navier–Stokes equations in 2D power cusp domain
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
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
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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On the problem of detecting source points acting on a fluid
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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Long time decay for 3D Navier-Stokes equations in Fourier-Lei-Lin spaces
In this paper, we study the long time decay of global solution to the 3D incompressible Navier-Stokes equations. We prove that if u∈C(R+,X−1,σ(R3))u\in {\mathcal{C}}\left({{\mathbb{R}}}^{+},{{\mathcal{X}}}^{-1,\sigma }\left({{\mathbb{R}}}^{3})) is a ...
Jlali Lotfi
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On the uniqueness for weak solutions of steady double-phase fluids
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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Conditions implying regularity of the three dimensional Navier-Stokes equation [PDF]
We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac like inequalities. As part of
Jiang, Lingyu, Wang, Yidong
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Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions
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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A Recursive Formula for the Reliability of a r‐Uniform Complete Hypergraph and Its Applications
The reliability polynomial R(S, p) of a finite graph or hypergraph S = (V, E) gives the probability that the operational edges or hyperedges of S induce a connected spanning subgraph or subhypergraph, respectively, assuming that all (hyper)edges of S fail independently with an identical probability q = 1 − p.
Ke Zhang +4 more
wiley +1 more source
On Bohr's inequality for special subclasses of stable starlike harmonic mappings
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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