Results 41 to 50 of about 1,272,822 (190)
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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Mathematics, 2021 In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e., the Euler–Lagrange equations, by means of the stationary action principle.
Ivano Colombaro +2 more
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Renormalized solutions of the 2D Euler equations [PDF]
, 2015 In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained via vanishing viscosity approximation are ...
Spirito, Stefano, Crippa, Gianluca
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Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, two families of exact solutions to two-dimensional incompressible rotational Euler equations are constructed by connecting the Euler equations with the Laplace equation via a stream function.
Yang Chen, Yunhu Wang, Manwai Yuen
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Development of filtered Euler–Euler two-phase model for circulating fluidised bed: High resolution simulation, formulation and a priori analyses [PDF]
, 2013 Euler–Euler two-phase model simulations are usually performed with mesh sizes larger than the smallscale structure size of gas–solid flows in industrial fluidised beds because of computational resource limitation.
Simonin, Olivier +3 more
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, 2022 In this paper, we define and study Hyers–Ulam stability of order 1 for Euler’s equation and Hyers–Ulam stability of order m−1 for the Euler–Poisson equation in the calculus of variations in two special cases, when these ...
Daniela Marian +2 more
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