Results 41 to 50 of about 1,352,114 (197)
On the Euler-Lagrange equation for a variational problem
, 2007 In this paper we prove the existence of a solution in L∞loc to the Euler-Lagrange equation for the variational problem inf (0.1) with convex closed subset of with non empty interior.
Bianchini, Stefano
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Abstract and Applied Analysis, 2013 We obtain the general solution of Euler-Lagrange-Rassias quartic functional equation of the following . We also prove the Hyers-Ulam-Rassias stability in various quasinormed spaces when .
Heejeong Koh, Dongseung Kang
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Beyond Furnaces: Harnessing In Situ Joule Heating for Efficient C1 Catalysis
Carbon Energy, EarlyView.Joule‐heated catalysis directly converts electrical energy into localized heat within conductive catalysts, overcoming the heat‐transfer limitations of conventional furnaces. This review summarizes recent advances in C1 molecule conversion, including CO2 methanation, reforming for hydrogen production, and HCHO/CO oxidation, while highlighting ...
Xue Kong +8 more
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The SIR model is an Euler–Lagrange equation
Examples and CounterexamplesWe establish a variational formulation for Bailey’s susceptible–infected–removed epidemic model using the Jacobi last multiplier method. An explicit first-order Lagrangian is derived whose Euler–Lagrange equations reproduce the susceptible–infected ...
Vasco Almeida, Delfim F.M. Torres
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Journal of Low Frequency Noise, Vibration and Active Control, 2019 This paper gives analytical solutions to a nonlinear oscillator with coordinate-dependent mass and Euler–Lagrange equation using the parameterized homotopy perturbation method.
MY Adamu, P Ogenyi, AG Tahir
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Udwadia–Kalaba Equation for Constrained Mechanical Systems: Formulation and Applications
Chinese Journal of Mechanical Engineering, 2018 There are many achievements in the field of analytical mechanics, such as Lagrange Equation, Hamilton’s Principle, Kane’s Equation. Compared to Newton–Euler mechanics, analytical mechanics have a wider range of applications and the formulation procedures
Xiao-Min Zhao +3 more
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On the Entropy and the Maximum Entropy Principle of Uncertain Variables
Entropy, 2023 A new variance formula is developed using the generalized inverse of an increasing function. Based on the variance formula, a new entropy formula for any uncertain variable is provided.
Yujun Liu, Guanzhong Ma
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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Immersed Boundary Projection Method for Boundaries With Slip Velocities
International Journal for Numerical Methods in Fluids, EarlyView.A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
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Land Degradation &Development, EarlyView.ABSTRACT Rainfall‐induced physical crusting is associated with degradation of near‐surface soil structure, but its pore‐scale structural and mechanical evolution during drying remains poorly resolved. We combined time‐resolved X‐ray computed tomography (XCT), digital volume correlation (DVC), and surface‐aligned stratification to track pore ...
Ruikun Feng +4 more
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