Results 21 to 30 of about 16,861 (262)
On a Quasi-Neutral Approximation to the Incompressible Euler Equations
Journal of Applied Mathematics, 2012 We rigorously justify a singular Euler-Poisson approximation of the incompressible Euler equations in the quasi-neutral regime for plasma physics. Using the modulated energy estimates, the rate convergence of Euler-Poisson systems to the incompressible ...
Jianwei Yang, Zhitao Zhuang
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On Euler's equation and 'EPDiff'
Journal of Geometric Mechanics, 2013 We study a family of approximations to Euler's equation depending on two parameters $\varepsilon,η\ge 0$. When $\varepsilon=η=0$ we have Euler's equation and when both are positive we have instances of the class of integro-differential equations called EPDiff in imaging science. These are all geodesic equations on either the full diffeomorphism group $\
Mumford, David, W. Michor, Peter
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Advances in Difference Equations, 2021 Through the Lie symmetry analysis method, the axisymmetric, incompressible, and inviscid fluid is studied. The governing equations that describe the flow are the Euler equations. Under intensive observation, these equations do not have a certain solution
R. Sadat +3 more
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Hyers–Ulam Stability for Quantum Equations of Euler Type
Discrete Dynamics in Nature and Society, 2020 Many applications using discrete dynamics employ either q-difference equations or h-difference equations. In this work, we introduce and study the Hyers–Ulam stability (HUS) of a quantum (q-difference) equation of Euler type.
Douglas R. Anderson, Masakazu Onitsuka
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Ulam stability for second-order linear differential equations with three variable coefficients
Results in Applied Mathematics, 2022 This study deals with Ulam stability of second-order linear differential equations of the form e(x)y′′+f(x)y′+g(x)y=0. The method established by Cădariu et al. (2020) is extended.
Masakazu Onitsuka
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On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs
Discrete Dynamics in Nature and Society, 1998 The Euler equations, namely a set of nonlinear partial differential equations (PDEs), mathematically describing the dynamics of inviscid fluids are numerically integrated by directly modeling the original continuous-domain physical system by means of a ...
F. N. Koumboulis +2 more
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Advances in Difference Equations, 2018 In this paper, a new set of functions called fractional-order Euler functions (FEFs) is constructed to obtain the solution of fractional integro-differential equations.
Yanxin Wang, Li Zhu, Zhi Wang
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Convergence of the Euler–Voigt Equations to the Euler Equations in Two Dimensions
Journal of Nonlinear ScienceIn this paper, we consider the two-dimensional torus and we study the convergence of solutions of the Euler-Voigt equations to solutions of the Euler equations, under several regularity settings. More precisely, we first prove that for weak solutions of the Euler equations with vorticity in $C([0,T];L^2(\mathbb{T}^2))$ the approximating velocity ...
Abbate, Stefano +3 more
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Analysis of stability for stochastic delay integro-differential equations
Journal of Inequalities and Applications, 2018 In this paper, we concern stability of numerical methods applied to stochastic delay integro-differential equations. For linear stochastic delay integro-differential equations, it is shown that the mean-square stability is derived by the split-step ...
Yu Zhang, Longsuo Li
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Dynamical equations of multibody systems on Lie groups
Advances in Mechanical Engineering, 2015 The Euler–Poinaré principle is a reduced Hamilton’s principle under Lie group framework. In this article, it is applied to derive a hybrid set of dynamical equations of rigid multibody systems, which include four parts: the classical Euler–Lagrange ...
Wenjie Yu, Zhenkuan Pan
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