Results 31 to 40 of about 195,153 (293)

Existence and uniqueness of solutions for the two-dimensional Euler and Navier-Stokes equations with initial data in $ H^1 $

open access: yesAIMS Mathematics
In this paper, we consider the incompressible Euler and Navier-Stokes equations in $ \mathbb{R}^2 $. It is well known that the Euler and Navier-Stokes equations are globally well-posed for initial data in $ H^s(s > 2) $.
Shaoliang Yuan, Lin Cheng, Liangyong Lin
doaj   +1 more source

Analytical Solutions to the Navier-Stokes-Poisson Equations with Density-dependent Viscosity and with Pressure

open access: yes, 2010
We study some particular solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure, in radial symmetry. With extension of the previous known blowup solutions for the Euler-Poisson equations / pressureless Navier ...
Hei, Yeung Ling, Manwai, Yuen
core   +1 more source

Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations

open access: yes, 2004
The article is devoted to the study of non-autonomous Navier-Stokes equations. First, the authors have proved that such systems admit compact global attractors.
Cheban, David, Duan, Jinqiao
core   +1 more source

Predicting airfoil stalling dynamics using upwind numerical solutions to non-viscous equations

open access: yesResults in Engineering, 2023
Over the last few decades, researchers have been focusing on determining the critical attack angle at which dynamic stall occurs. This angle is usually determined by solving the Navier-Stokes equations, which include viscosity, pressure, gravity, and ...
Tohid Adibi   +5 more
doaj   +1 more source

Equations of Motion and Navier–Stokes Equations

open access: yesComputation
In this research, we present the analogies between variational calculations in cosmology and in classical mechanics. Our approach is based on the invariants for transformations of affine connections defined on N-dimensional manifolds (special cases are ...
Dušan J. Simjanović   +4 more
doaj   +1 more source

Lid-driven cavity flow using dual reciprocity [PDF]

open access: yesMATEC Web of Conferences, 2020
The paper presents the use of the multi-domain dual reciprocity method of fundamental solutions (MD-MFSDR) for the analysis of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj, Bulko Roman
doaj   +1 more source

Inviscid limit of stochastic damped 2D Navier-Stokes equations

open access: yes, 2012
We consider the inviscid limit of the stochastic damped 2D Navier- Stokes equations. We prove that, when the viscosity vanishes, the stationary solution of the stochastic damped Navier-Stokes equations converges to a stationary solution of the stochastic
Bessaih, H., Ferrario, B.
core   +1 more source

Navier-Stokes Equations with Potentials

open access: yesAbstract and Applied Analysis, 2007
We study Navier-Stokes equations perturbed with a maximal monotone operator, in a bounded domain, in 2D and 3D. Using the theory of nonlinear semigroups, we prove existence results for strong and weak solutions. Examples are also provided.
Adriana-Ioana Lefter
doaj   +1 more source

Results on existence for generalized nD Navier-Stokes equations

open access: yesOpen Mathematics, 2019
In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
doaj   +1 more source

A Universal Way to Manipulate Droplet via Light‐Fueled Thermocapillary Convection

open access: yesAdvanced Functional Materials, EarlyView.
A non‐contact light‐induced droplet manipulation strategy fueled by mid‐infrared (MIR) light irradiation is introduced. No additional additives and/or complex substrate are required. Here, thermocapillary convection, directly generated by temperature gradient at outer surface of droplet via localized surface heating, plays a key role to propel the ...
Hyesun Hwang   +5 more
wiley   +1 more source

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