Results 51 to 60 of about 1,495 (117)
A counterexample to the smoothness of the solution to an equation arising in fluid mechanics [PDF]
, 2002 We analyze the equation coming from the Eulerian-Lagrangian description of fluids. We discuss a couple of ways to extend this notion to viscous fluids. The main focus of this paper is to discuss the first way, due to Constantin.
Montgomery-Smith, Stephen +1 more
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, 2018 We address the well-posedness for the two-dimensional Boussinesq equations with zero diffusivity in bounded domains. We prove global in time regularity for rough initial data: both the initial velocity and temperature have $\epsilon$ fractional ...
Zhou, Daoguo
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On a viscous two-fluid channel flow including evaporation
Open 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
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A stochastic perturbation of inviscid flows
, 2010 We prove existence and regularity of the stochastic flows used in the stochastic Lagrangian formulation of the incompressible Navier-Stokes equations (with periodic boundary conditions), and consequently obtain a $\holderspace{k}{\alpha}$ local existence
A. Chorin +12 more
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Advances in Nonlinear AnalysisIn this article, we consider the global well-posedness of the initial-boundary value problem to a nonlinear Boussinesq-fluid-structure interaction system, which describes the motion of an incompressible Boussinesq-fluid surrounded by an elastic structure
Zhang Jie, Wang Shu, Shen Lin
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Smooth solutions for the dyadic model
, 2010 We consider the dyadic model, which is a toy model to test issues of well-posedness and blow-up for the Navier-Stokes and Euler equations. We prove well-posedness of positive solutions of the viscous problem in the relevant scaling range which ...
David Barbato +3 more
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Asymptotic analysis of Leray solution for the incompressible NSE with damping
Demonstratio MathematicaIn 2008, Cai and Jiu showed that the Cauchy problem of the Navier-Stokes equations, with damping α∣u∣β−1u\alpha {| u| }^{\beta -1}u for α>0\alpha \gt 0 and β≥1\beta \ge 1 has global weak solutions in L2(R3){L}^{2}\left({{\mathbb{R}}}^{3}).
Blel Mongi, Benameur Jamel
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Application of QLM-Rational Legendre collocation method towards Eyring-Powell fluid model
Nonlinear Engineering, 2019 In this paper, a spectral method based on the rational Legendre functions is discussed to approximate the solution of the boundary layer flow of an Eyring-Powell non-Newtonian fluid over a stretching sheet.
Parand Kourosh +2 more
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Global inviscid limit of 2D, stationary Navier-Stokes and stability of Prandtl expansions
Forum of Mathematics, PiIn this work, we establish the convergence of 2D, stationary Navier-Stokes flows with viscosity $\varepsilon> 0$ , $(u^\varepsilon , v^\varepsilon )$ to the classical Prandtl boundary layer, $(\bar {u}_p, \bar {v}_p)$ , posed on the ...
Sameer Iyer, Nader Masmoudi
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Computational and Mathematical BiophysicsThree-phase fluid-structure interaction (FSI) problems couple the motion of solid structures and two different fluids, often exhibiting complex dynamics and posing challenges for computational investigation. The main objective of this paper is to present
Murshed Mohammad, Wang Jin
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