Global well-posedness of the free-surface incompressible Euler equations with damping
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DOI: 10.1016/j.jde.2019.02.002
Abstract: Abstract We consider a layer of an incompressible inviscid fluid, bounded below by a fixed solid boundary and above by a free moving boundary, in a horizontally periodic setting. The fluid dynamics is governed by… read more here.
Keywords: incompressible euler; surface; equations damping; free surface ... See more keywords
Convergence of the Uzawa method for the Stokes equations with damping
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DOI: 10.1080/17476933.2016.1252341
Abstract: Abstract The method we study in this paper is to combine the finite element method with the Uzawa algorithm for the Stokes equations with damping. It aims to establish convergence rate results of the method.… read more here.
Keywords: uzawa method; stokes equations; method; equations damping ... See more keywords
Oscillation criteria for a class of nonlinear discrete fractional order equations with damping term
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DOI: 10.1515/ms-2017-0422
Abstract: Abstract The aim in this work is to investigate oscillation criteria for a class of nonlinear discrete fractional order equations with damping term of the form Δa(t)Δr(t)gΔαx(t)β+p(t)Δr(t)gΔαx(t)β+F(t,G(t))=0,t∈Nt0. $$\begin{array}{} \displaystyle \Delta\left[a(t)\left[\Delta\left(r(t)g\left(\Delta^\alpha x(t)\right)\right)\right]^\beta\right]+p(t)\left[\Delta\left(r(t)g\left(\Delta^\alpha x(t)\right)\right)\right]^\beta+F(t,G(t))=0, t\in N_{t_0}. \end{array}$$… read more here.
Keywords: order; oscillation criteria; fractional order; damping term ... See more keywords
Third-Order Neutral Differential Equations with Damping and Distributed Delay: New Asymptotic Properties of Solutions
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DOI: 10.3390/sym14102192
Abstract: In this paper, we are interested in studying the oscillation of differential equations with a damping term and distributed delay. We establish new criteria that guarantee the oscillation of the third-order differential equation in terms… read more here.
Keywords: distributed delay; equations damping; neutral differential; third order ... See more keywords