Blowup Phenomena for the Compressible Euler and Euler-Poisson Equations with Initial Functional Conditions by Sen Wong, Manwai Yuen

“…We study, in the radial symmetric case, the finite time life span of the compressible Euler or Euler-Poisson equations in RN. For time t≥0, we can define a functional H(t) associated with the solution of the equations and some testing function f. …”
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Reflections on the Importance of the Leonhardi Euleri Opera Omnia, Volume IV A (2016) and Volume VIII (2018) by Stanisław Domoradzki, Mykhailo Zarichnyi

Subjects: “…Euler’s correspondence…”
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Hankel determinants and Jacobi continued fractions for $q$-Euler numbers by Chern, Shane, Jiu, Lin

“…Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler numbers. It is shown that the associated orthogonal polynomials for $q$-Euler numbers are given by a specialization of the big $q$-Jacobi polynomials, thereby leading to their corresponding Jacobi continued fraction expressions, which eventually serve as a key to our determinant evaluations.…”
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Free Vibrations of an Elastically Restrained Euler Beam Resting on a Movable Winkler Foundation by Qiang Zhou, Tong Wang

“…A general model is presented for the free vibration of a Euler beam supported on a movable Winkler foundation and with ends elastically restrained by two vertical and two rotational springs. …”
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Topological 1D gravity, KP hierarchy, and orbifold Euler characteristics of M‾g,n by Zhiyuan Wang, Jian Zhou

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A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible Structures by Zhigang Zhang, Zhaohui Qi, Zhigang Wu, Huiqing Fang

“…A two-node spatial beam element with the Euler-Bernoulli assumption is developed for the nonlinear dynamic analysis of slender beams undergoing arbitrary rigid motions and large deformations. …”
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Particle motion and QPOs around Euler-Heisenberg black hole immersed in cold dark matter halo by G. Mustafa, S.K. Maurya, Tayyab Naseer, Arzu Cilli, Ertan Güdekli, Assmaa Abd-Elmonem, Neissrien Alhubieshi

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Closed form solutions of bending Bi-directional functionally graded tapered beams using Euler and Timoshenko theories by Omar K. Omar, Mohammad Alshawabkeh, H. Alkhatib

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Quantum complexity of time evolution with chaotic Hamiltonians by Vijay Balasubramanian, Matthew DeCross, Arjun Kar, Onkar Parrikar

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CompositIA: an open-source automated quantification tool for body composition scores from thoraco-abdominal CT scans by Raffaella Fiamma Cabini, Andrea Cozzi, Svenja Leu, Benedikt Thelen, Rolf Krause, Filippo Del Grande, Diego Ulisse Pizzagalli, Stefania Maria Rita Rizzo

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A Mathematical and Numerically Integrable Modeling of 3D Object Grasping under Rolling Contacts between Smooth Surfaces by Suguru Arimoto, Morio Yoshida

“…It is shown that a set of Euler-Lagrange equations of motion of the fingers-object system can be derived by introducing Lagrange multipliers corresponding to geometric conditions of contacts. …”
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The Non-Relativistic Limit for the e-MHD Equations by Hongli Wang, Jie Zhao

“…With the prepared initial data, our result shows that the small parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems (incompressible Euler equations) have smooth solutions. …”
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Optimal Control of Mechanical Systems by Vadim Azhmyakov

“…We deal with control systems whose dynamics can be described by a system of Euler-Lagrange or Hamilton equations. Using the variational structure of the solution of the corresponding boundary-value problems, we reduce the initial optimal control problem to an auxiliary problem of multiobjective programming. …”
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A Variational Method for Multivalued Boundary Value Problems by Droh Arsène Béhi, Assohoun Adjé

“…We obtain the existence of solution when the corresponding Euler–Lagrange functional is coercive.…”
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New Applications of a Kind of Infinitesimal-Operator Lie Algebra by Honwah Tam, Yufeng Zhang, Xiangzhi Zhang

“…Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism. A corresponding discrete equation approximating it is given as well. …”
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Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators by D. L. Suthar, Fasil Gidaf, Mitku Andualem

“…In addition, two theorems have been developed under these operators that provide an image formula for this generalized M-series and also to study the different properties of the generalized M-series. The corresponding assertions in terms of Euler and Laplace transform methods are presented. …”
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Existence and Uniqueness of Weak Solutions for a New Class of Convex Optimization Problems Related to Image Analysis by Anas Tiarimti Alaoui, Mostafa Jourhmane

“…After that, the existence and uniqueness of weak solutions for the corresponding Euler–Lagrange equation are proven in an appropriate functional space, and a consistent and stable numerical model is also shown. …”
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The Kinematics Analysis of a Novel 3-DOF Cable-Driven Wind Tunnel Mechanism by Yao Yu, Wu Hongtao

“…From the equation, the eight sets of Rodridgues' parameters and corresponding Euler angles for the forward kinematical problem can be obtained. …”
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A comparison of two nonconforming finite element methods for linear three-field poroelasticity by Guo Jun, Shi Yanchao, Luo Weihua

“…We employ the Crouzeix-Raviart element for one of the displacement component and conforming linear element for the remaining component, the lowest order Raviart-Thomas element (or the first-order Brezzi-Douglas-Marini element) for the fluid flux, and the piecewise constant for the pressure. We provide the corresponding analysis, including the well-posedness and a priori error estimates, for the fully discrete scheme coupled with the backward Euler finite difference for the time discretization. …”
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Free Vibrations with Large Amplitude of Axially Loaded Beams on an Elastic Foundation Using the Adomian Modified Decomposition Method by Desmond Adair, Askar Ibrayev, Alima Tazabekova, Jong R. Kim

“…Analytical solutions describing free transverse vibrations with large amplitude of axially loaded Euler–Bernoulli beams for various end restrains resting on a Winkler one-parameter foundation are obtained using the Adomian modified decomposition method (AMDM). …”
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