Results 21 to 30 of about 1,352,114 (197)
Archives of Mechanics, 2011 Nonlocally related systems for the Euler and Lagrange systems of two-dimensional dynamical nonlinear elasticity are constructed. Using the continuity equation, i.e., conservation of mass of the Euler system to represent the density and Eulerian velocity ...
G. Bluman, J.F. Ganghoffer
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Weighted Generalized Fractional Integration by Parts and the Euler–Lagrange Equation
Axioms, 2022 Integration by parts plays a crucial role in mathematical analysis, e.g., during the proof of necessary optimality conditions in the calculus of variations and optimal control.
Houssine Zine +3 more
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, 2023 Concepts of the variational approach are useful tools to express physical phenomena where certain quantities are conserved. Derivation of the gravitational field equations from the Euler- Lagrange equation resulting from the first-order derivative of ...
Ashraful Islam
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Estimating Euler equations [PDF]
, 2002 In this paper we consider conditions under which the estimation of a log-linearized Euler equation for consumption yields consistent estimates of preference parameters.
Attanasio, O.P. +5 more
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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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A solution to a fractional order semilinear equation using variational method
Mathematics in Applied Sciences and Engineering, 2020 We will discuss how we obtain a solution to a semilinear pseudo-differential equation involving fractional power of laplacian by using a method analogous to the direct method of calculus of variations.
Ramesh Karki, Young Hwan You
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CFD study of a sudden-expanding coal combustor using Euler-Euler and Euler-Lagrange models
, 2010 In this study, the Euler-Euler (E-E) and Euler-Lagrange (E-L) models designed for the same chemical mechanism of heterogeneous reactions were used to predict the performance of a typical sudden-expanding coal combustor.
魏小林, 刘大有, Zhang Y, 张宇
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Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Advanced Nonlinear Studies, 2020 We prove the existence of extremals for fractional Moser–Trudinger inequalities in an interval and on the whole real line. In both cases we use blow-up analysis for the corresponding Euler–Lagrange equation, which requires new sharp estimates obtained ...
Mancini Gabriele, Martinazzi Luca
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The discrete variational approach to the Euler-Lagrange equation [PDF]
, 1990 We apply symplectic integration schemes to solve two-point boundary value problems for the Euler-Lagrange equation. These methods admit a natural discrete variational principle, and are, therefore, a new type of approximation. Numerical results are given
Wu, Y.
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