Results 1 to 10 of about 363 (138)

Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids

Advances in Mathematical Physics
MSC2010 Classification: 76D05 ...
Jae-Myoung Kim
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Two-layer-atmospheric blocking in a medium with high nonlinearity and lateral dispersion

Results in Physics, 2018
Herein, the extended coupled Kadomtsev–Petviashvili equation (CKPE) with lateral dispersion is investigated for studying the atmospheric blocking in two layers.
M.S. Osman, H.I. Abdel-Gawad, M.A. El Mahdy   +2 more
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On Liouville type theorems in the stationary non-Newtonian fluids [PDF]

Journal of Differential Equations, 2021
In this paper we prove a Liouville type theorem for the stationary equations of a non-Newtonian fluid in R3 with the viscous part of the stress tensor Ap(u) = div(|D(u)| p−2D(u)), where D(u) = 12(∇u + (∇u) ⊤) and 9 5 < p < 3.
D. Chae, Junha Kim, J. Wolf
semanticscholar   +1 more source

Existence of random attractors and the upper semicontinuity for small random perturbations of 2D Navier-Stokes equations with linear damping

Open Mathematics, 2021
The incompressible 2D stochastic Navier-Stokes equations with linear damping are considered in this paper. Based on some new calculation estimates, we obtain the existence of random attractor and the upper semicontinuity of the random attractors as ε→0 ...
Li Haiyan, Wang Bo
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Mixed convective flow with variable viscosity and variable thermal conductivity in a channel in the presence of first order chemical reaction with heat generation or absorption

Journal of Applied Mathematics and Computational Mechanics, 2021
A study has been made on the flow and heat transfer of a viscous fluid in a vertical channel with first order chemical reaction and heat generation or absorption assuming that the viscosity and thermal conductivity are dependent on the fluid temperature.
Shobha K. C., Mahadev Biradar, P. B.
semanticscholar   +1 more source

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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Optimality of Serrin type extension criteria to the Navier-Stokes equations

Advances in Nonlinear Analysis, 2021
We prove that a strong solution u to the Navier-Stokes equations on (0, T) can be extended if either u ∈ Lθ(0, T; U˙∞,1/θ,∞−α$\begin{array}{} \displaystyle \dot{U}^{-\alpha}_{\infty,1/\theta,\infty} \end{array}$) for 2/θ + α = 1, 0 < α < 1 or u ∈ L2(0, T;
Farwig Reinhard, Kanamaru Ryo
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Analysis and Numerical Simulation of Hyperbolic Shallow Water Moment Equations

Communications in Computational Physics, 2020
Shallow Water Moment Equations allow for vertical changes in the horizontal velocity, so that complex shallow flows can be described accurately. However, we show that these models lack global hyperbolicity and the loss of hyperbolicity already occurs for
Julian Rominger
semanticscholar   +1 more source

Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid

Comptes rendus. Mathematique, 2021
We consider the controllability of a viscous incompressible fluid modeled by the Navier–Stokes system with a nonlinear viscosity. To prove the controllability to trajectories, we linearize around a trajectory and the corresponding linear system includes ...
S. Guerrero, Takéo Takahashi
semanticscholar   +1 more source

Stochastic phase field α-Navier-Stokes vesicle-fluid interaction model

Journal of Mathematical Analysis and Applications, 2021
We consider a stochastic perturbation of the phase field alpha-Navier-Stokes model with vesicle-fluid interaction. It consists in a system of nonlinear evolution partial differential equations modeling the fluid-structure interaction associated to the ...
Ludovic Goudenège, L. Manca
semanticscholar   +1 more source