Results 41 to 50 of about 2,616 (128)

Hamiltonian Approach to Internal Wave-Current Interactions in a Two-Media Fluid with a Rigid Lid [PDF]

open access: yes, 2015
We examine a two-media 2-dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface with wind generated surface waves but considered bounded above by a lid by an assumption that surface ...
Compelli, Alan, Ivanov, Rossen
core   +2 more sources

An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations

open access: yes, 2014
We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity, this seems to
Chae, Dongho   +2 more
core   +1 more source

Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity

open access: yesBoundary Value Problems, 2011
In this paper, we investigate the Cauchy problem for the incompressible magneto-micropolar fluid equations with partial viscosity in ℝn(n = 2, 3). We obtain a Beale-Kato-Majda type blow-up criterion of smooth solutions. MSC (2010): 76D03; 35Q35.
Wang Yu-Zhu, Li Yifang, Wang Yin-Xia
doaj  

Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in ℝ3

open access: yesAdvances in Nonlinear Analysis
The compressible Navier-Stokes-Smoluchowski equations under investigation concern the behavior of the mixture of fluid and particles at a macroscopic scale. We devote to the existence of the global classical solution near the stationary solution based on
Tong Leilei
doaj   +1 more source

A sharp local blow-up condition for Euler-Poisson equations with attractive forcing

open access: yes, 2009
We improve the recent result of Chae & Tadmor in [Comm. Math. Sci. 6(3) (2008) 785-789], proving a one-sided threshold condition which leads to finite-time breakdown of the Euler-Poisson equations in arbitrary dimension ...
Bin Cheng   +29 more
core   +1 more source

Regularity and reduction to a Hamilton-Jacobi equation for a MHD Eyring-Powell fluid

open access: yesAlexandria Engineering Journal, 2022
The flow under an Eyring-Powell description has attracted interest to model different scenarios related with non-Newtonian fluids. The goal of the present study is to provide analysis of solutions to a one-dimensional Eyring-Powell fluid in ...
José Luis Díaz Palencia   +2 more
doaj   +1 more source

On the Leray-Hopf Extension Condition for the Steady-State Navier-Stokes Problem in Multiply-Connected Bounded Domains [PDF]

open access: yes, 2013
Employing the approach of A. Takeshita [Pacific J. Math., Vol. 157 (1993), 151--158], we give an elementary proof of the invalidity of the Leray-Hopf Extension Condition for certain multiply connected bounded domains of R^n, n=2,3, whenever the flow ...
Galdi, Giovanni P.
core  

Non-uniform continuous dependence on initial data of solutions to the Euler-Poincar\'{e} system

open access: yes, 2018
In this paper, we investigate the continuous dependence on initial data of solutions to the Euler-Poincar\'{e} system. By constructing a sequence approximate solutions and calculating the error terms, we show that the data-to-solution map is not ...
Dai, Li, Li, Jinlu, Zhu, Weipeng
core   +1 more source

Canonically Conjugate Variables for the μCH Equation [PDF]

open access: yes, 2012
2010 Mathematics Subject Classification: 35Q35, 37K10.We consider the μCH equation which arises as an asymptotic rotator equation in a liquid crystal with a preferred direction if one takes into account the reciprocal action of dipoles on themselves ...
Christov, Ognyan
core  

Numerical analysis of hybrid fluid flow between rotating disks in the presence of thermal radiation and Joule heating effect

open access: yesOpen Physics
This study investigates the hybrid nanofluid flow between two rotating and squeezing disks under the combined effects of thermal radiation and Joule heating.
Bibi Kalsoom   +4 more
doaj   +1 more source

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