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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Exact projected entangled pair ground states with topological Euler invariant by Thorsten B. Wahl, Wojciech J. Jankowski, Adrien Bouhon, Gaurav Chaudhary, Robert-Jan Slager

“…Using unitary circuits, we then formulate interacting variants of these PEPS and corresponding gapped parent Hamiltonians. We reveal characteristic entanglement features shared between the free-fermionic and interacting states with Euler topology. …”
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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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Transcendentality of ABJM two-point functions by Marco S. Bianchi

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A new crossover dynamics mathematical model of monkeypox disease based on fractional differential equations and the Ψ-Caputo derivative: Numerical treatments by N.H. Sweilam, S.M. Al-Mekhlafi, W.S. Abdel Kareem, G. Alqurishi

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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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Definition of minimum clearance height of railway bridges in a windblown sand area based on numerical simulation by Xian Zhang, Shengbo Xie, Yingjun Pang

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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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