Results 61 to 70 of about 1,272,822 (190)
Mathematics, 2019 The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
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RETRACTED: On the Nature of Some Euler’s Double Equations Equivalent to Fermat’s Last Theorem
Mathematics, 2022 In this work, I provide a new rephrasing of Fermat’s Last Theorem, based on an earlier work by Euler on the ternary quadratic forms. Effectively, Fermat’s Last Theorem can be derived from an appropriate use of the concordant forms of Euler and from an ...
Andrea Ossicini
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Recent developments in mathematical aspects of relativistic fluids
Living Reviews in RelativityWe review some recent developments in mathematical aspects of relativistic fluids. The goal is to provide a quick entry point to some research topics of current interest that is accessible to graduate students and researchers from adjacent fields, as ...
Marcelo Disconzi
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Unstable Manifolds of Euler Equations [PDF]
Communications on Pure and Applied Mathematics, 2013 We consider a steady state v0 of the Euler equation in a fixed bounded domain in ℝn. Suppose the linearized Euler equation has an exponential dichotomy of unstable and center‐stable subspaces. By rewriting the Euler equation as an ODE on an infinite‐dimensional manifold of volume‐preserving maps in Wk, q the unstable (and stable) manifolds of v0 are ...
Lin, Zhiwu, Zeng, Chongchun
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Extension of an all-Mach Roe scheme able to deal with low Mach acoustics to full Euler system [PDF]
ESAIM: Proceedings and SurveysWe propose to extend the fix of Roe’s approximate Riemann solver developed for the Barotropic Euler equations in [2] to the full Euler equations. This scheme is built mainly to handle low Mach acousticwaves.
Galié Thomas +3 more
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Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method
Journal of Applied Mathematics, 2013 Homotopy Analysis Method (HAM) is applied to find the critical buckling load of the Euler columns with continuous elastic restraints. HAM has been successfully applied to many linear and nonlinear, ordinary and partial, differential equations, integral ...
Aytekin Eryılmaz +3 more
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Error Analysis and Model Adaptivity for Flows in Gas Networks
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In the simulation and optimization of natural gas flow in a pipeline network, a hierarchy of models is used that employs different formulations of the Euler equations. While the optimization is performed on piecewise linear models, the flow simulation is
Stolwijk Jeroen J., Mehrmann Volker
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上海师范大学学报. 自然科学版, 2016 We consider the stability and asymptotic stability of a class of nonlinear delay differential-algebraic equations and of the implicit Euler methods.Some sufficient conditions for the stability and asymptotic stability of the equations are given.These ...
JIANG Lanlan, JIN Xiangying, SUN Leping
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Approximation of functions in Hölder’s class and solution of nonlinear Lane–Emden differential equation by orthonormal Euler wavelets [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this article, a method has been developed for the solution of a non-linear Lane-Emden differential equation based on orthonormal Euler wavelet series.
H.C. Yadav, A. Yadav, S. Lal
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Abstract and Applied Analysis, 2012 The Euler method is introduced for stochastic differential delay equations (SDDEs) with Poisson random measure under the generalized Khasminskii-type conditions which cover more classes of such equations than before.
Minghui Song, Hui Yu
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