EXPERIMENTAL AND NUMERICAL INVESTIGATIONS ON THE STABILITY OF CYLINDRICAL SHELLS by ATTILA BAKSA, DAVID GONCZI, LASZLA PETER KISS, PETER ZOLTAN KOVACS, ZSOLT LUKACS

“…It is found that small geometrical imperfections within a given tolerance range have considerable negative effect on the buckling load compared to perfect geometry. Various post buckling shell shapes are possible, which depend on these imperfections. …”
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On conformal transformation of $\Xi$-curvature by Narges Panahi, Bahman Rezaei, Akbar Tayebi

“…In this paper, we study the conformal transformation of recent defined non-Riemannian curvature in Finsler Geometry, namely $\Xi$-curvature. Indeed, we obtain the necessary and sufficient condition under which the conformal transformation preserves the $\Xi$-curvature.…”
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Boosting the thermal efficiency of a flat-tube parabolic trough solar collector with the introduction of innovative slashed triangular prism turbulators by Sultan Alshehery, Qasem Al Mdallal, Ahmed A. Altohamy, Lotfi Ben Said, Mohamed Bouzidi, Turki Alkathiri, Lioua Kolsi

“…This study focuses on enhancing the thermal performance of parabolic trough solar collectors (PTSC) by modifying the geometry of the absorber tube to a flat design. For the first time, an innovative turbulator known as the triangular prisms turbulator (TPT) has been utilized, with its geometry specifically designed to fit precisely within the flat tube. …”
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The Main Pelagonian Detachment (MPD): extensional reactivation of the frontal thrust of the Internal Zones of the Hellenides (Greece) by Chanier, Frank, Ferrière, Jacky, Averbuch, Olivier, Graveleau, Fabien, Caroir, Fabien, Gaullier, Virginie, Watremez, Louise

“…The along-strike changes in the geometry and the kinematics of the MPD suggest different tectonic configurations largely inherited from the flat–ramp–flat initial geometry of the thrust. …”
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Schwarzschild-Levi-Civita black hole by S. Habib Mazharimousavi

“…Inspired by the geometry of the Ernst black hole which interpolates the static spherically symmetric Schwarzschild black hole and the static axially symmetric magnetic Melvin spacetime, in this paper, we aim to present a solution to Einstein's field equation in vacuum to interpolate the Schwarzschild black hole and the Levi-Civita spacetime. …”
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Polynomial effective equidistribution by Lindenstrauss, Elon, Mohammadi, Amir, Wang, Zhiren

“…We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of $\mathrm{SL}_2(\mathfrak{l})$ in arithmetic quotients of $\mathrm{SL}_2(\mathbb{C})$ and $\mathrm{SL}_2(\mathfrak{l})\times \mathrm{SL}_2(\mathfrak{l})$.The proof is based on the use of a Margulis function, tools from incidence geometry, and the spectral gap of the ambient space.…”
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The Toda-Weyl mass spectrum by Martin T. Luu

“…In particular, we indicate the relation to the relative geometry of special roots, generalizing the affine Toda mass spectrum description in terms of the Cartan matrix. …”
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A survey on the positive mass theorem for asymptotically flat initial data sets by Huang, Lan-Hsuan

“…Originating from a conjecture in general relativity regarding the ADM mass, the positive mass theorem has significantly influenced geometry and analysis over the past four decades and continued to inspire new connections. …”
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Noncommutative tensor triangulated categories and coherent frames by Mallick, Vivek Mohan, Ray, Samarpita

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Conformally symplectic structures and the Lefschetz condition by Lejmi, Mehdi, Wilson, Scott O.

“…This short note provides a symplectic analogue of Vaisman’s theorem in complex geometry. Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degree 1, every locally conformally symplectic structure is in fact globally conformally symplectic, whenever there is a mutually compatible almost complex structure.…”
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Interpreting Dye Test Results for Improved Drip Irrigation Management for the Mulched Vegetable-Production Systems in South Florida by Sanjay Shukla, Nathan Holt, Gregory Hendricks

“…If it is not feasible for the grower to conduct an on-farm dye test, results from a dye test with similar site characteristics—including region, soil type, bed geometry, and drip tape—can be used. The intent of this publication is to explain procedures of a dye test and describe the movement pattern for Immokalee fine sand, a typical soil found in central and south Florida. …”
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Torsion and anomalies in the warped limit of Lifschitz theories by Christian Copetti

“…In a Newton-Cartan formulation of the space-time geometry such anomaly is sourced by torsion. We use these results to give an effective field theory description of the anomalous transport coefficients, which were originally computed through Kubo formulas in [1]. …”
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Hybrid universality classes of systemic cascades by I. Bonamassa, B. Gross, J. Kertész, S. Havlin

“…We provide hyperscaling arguments predicting hybrid critical phenomena characterized by a combination of both mean-field spinodal exponents and d-dimensional corrections, and show how parity invariance influences the geometry and lifetime of critical avalanches. Our theory applies to a wide range of networked systems in arbitrary dimensions, as we demonstrate by simulations encompassing classic and novel cascade models, revealing universal principles of cascade critical phenomena amenable to experimental validation.…”
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Bregman divergences for physically informed discrepancy measures for learning and computation in thermomechanics by Andrieux, Stéphane

“…Finally some results useful for computational geometry are detailed.…”
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Interpreting Dye Test Results for Improved Drip Irrigation Management for the Mulched Vegetable-Production Systems in South Florida by Sanjay Shukla, Nathan Holt, Gregory Hendricks

“…If it is not feasible for the grower to conduct an on-farm dye test, results from a dye test with similar site characteristics—including region, soil type, bed geometry, and drip tape—can be used. The intent of this publication is to explain procedures of a dye test and describe the movement pattern for Immokalee fine sand, a typical soil found in central and south Florida. …”
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A Review of Pythagoras Theorem and Its Applications in the Construction Industry by Philemon, Mutabazi

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Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules by Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra

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On the (im)possible validation of hydrogeological models by Andréassian, Vazken

“…., 1992] answered that while the bases of hydrogeological models (conservation of mass and Darcy’s law) were uncontestable and unconditionally valid, specific validation exercises were dearly needed to evaluate the parameters and the geometry of these models (confronting the models with data they had not seen during the calibration phase). …”
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Simplicity of Tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve by Choe, Insong, H. Hitching, George, Hong, Jaehyun

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Laboratory modeling of MHD accretion disks by Gissinger, Christophe

“…First, the Taylor–Couette experiments demonstrated the generation of magnetorotational instability (MRI) in liquid metals, and highlighted how this instability is critically influenced by boundary conditions and the geometry of the applied magnetic field. These experiments also highlight the nonlinear transition to turbulence in accretion disks, and their link with other MHD instabilities in centrifugally-stable flows. …”
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