Results 51 to 60 of about 71,240 (263)
Stability of an Additive-Cubic-Quartic Functional Equation
Advances in Difference Equations, 2009 In this paper, we consider the additive-cubic-quartic functional equation and prove the generalized Hyers-Ulam stability of the additive-cubic-quartic functional equation in Banach spaces.
Kaboli-Gharetapeh S +3 more
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The cubic Szegő equation [PDF]
Annales scientifiques de l'École normale supérieure, 2010 We consider the following Hamiltonian equation on the $L^2$ Hardy space on the circle, $$i\partial _tu=\Pi(|u|^2u)\ ,$$ where $\Pi $ is the Szego projector. This equation can be seen as a toy model for totally non dispersive evolution equations. We display a Lax pair structure for this equation.
Sandrine Grellier, Patrick Gérard
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Multimodal Data‐Driven Microstructure Characterization
Advanced Engineering Materials, EarlyView.A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
wiley +1 more source
Maximally rotating waves in AdS and on spheres
Journal of High Energy Physics, 2017 We study the cubic wave equation in AdS d+1 (and a closely related cubic wave equation on S 3) in a weakly nonlinear regime. Via time-averaging, these systems are accurately described by simplified infinite-dimensional quartic Hamiltonian systems, whose ...
Ben Craps, Oleg Evnin, Vincent Luyten
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The Lagrangian Cubic Equation [PDF]
International Mathematics Research Notices, 2015 International Mathematics Research Notices, 2016 (9)
Biran Paul, Membrez Cedric
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Microstructure Evolution of a VMnFeCoNi High‐Entropy Alloy After Synthesis, Swaging, and Annealing
Advanced Engineering Materials, EarlyView.The synthesis and processing (rotary swaging and annealing) of the novel VMnFeCoNi alloy is investigated, alongside the estimation of the grain size effect on hardness. Analysis of a wide grain size range of recrystallized microstructures (12–210 µm) reveals a low annealing twin density.
Aditya Srinivasan Tirunilai +6 more
wiley +1 more source
EXACT SOLUTIONS TO CUBIC DUFFING EQUATION FOR A NONLINEAR ELECTRICAL CIRCUIT
Visión Electrónica, 2014 This work provides an exact solution to a cubic Duffing oscillator equation with initial conditions and bounded periodic solutions. This solution is expressed in terms of the Jacobi elliptic function (cn).
Álvaro H. Salas S., Jairo E. Castillo H
doaj
CUBIC EQUATIONS FOR THE HYPERELLIPTIC LOCUS [PDF]
Asian Journal of Mathematics, 2004 We discuss the conjecture of Buchstaber and Krichever that their multi-dimensional vector addition formula for Baker-Akhiezer functions characterizes Jacobians among principally polarized abelian varieties, and prove that it is indeed a weak characterization, i.e.
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Hydrogen‐Assisted Fracture of Iron‐Based Fe–Ni–Al Alloys
Advanced Engineering Materials, EarlyView.Principal relations and fracture mechanisms of single‐phase and precipitate‐strengthened Fe–Ni–Al alloys subjected to prior electrochemical hydrogen charging are identified. The mechanisms of hydrogen effect on strength and microhardness are discussed, including hydrogen‐induced increase in microhardness and the role of hydrogen in fracture behavior ...
Nataliya Yadzhak +3 more
wiley +1 more source