LIGHTWEIGHT DESIGN OF STRUCTURES BASED ON A SEMIDEFINITE PROGRAMMING METHOD (MT) by WANG XingFeng, ZHANG Qing, QIN XianRong, SUN YuanTao

“…In this way, the original discrete optimization problem with stress and stiffness constraints is simplified as a compliance-constrained problem, which can be further reformulated as a relaxed semidefinite programming problem. With existing optimization solvers, the global optimum solution for the relaxed semidefinite programming problem can be quickly achieved. …”
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Influence of Blood Vessels on Temperature during High-Intensity Focused Ultrasound Hyperthermia Based on the Thermal Wave Model of Bioheat Transfer by Qiaolai Tan, Xiao Zou, Hu Dong, Yajun Ding, Xinmin Zhao

“…The coupled effects of blood vessels and thermal relaxation time on temperature and thermal lesion region in biological tissue during high-intensity focused ultrasound (HIFU) hyperthermia are numerically investigated. …”
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Steady plastic wave fronts and scale universality of strain localization in metals and ceramics by Yuriy Bayandin, Natalia Saveleva, Oleg Naimark

“…Mechanisms of structural relaxation are linked with the metastability of nonequilibrium potential of solid with defects and the generation of collective modes of defects responsible for the plastic strain and damage localization. …”
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Observation of quantum strong Mpemba effect by Jie Zhang, Gang Xia, Chun-Wang Wu, Ting Chen, Qian Zhang, Yi Xie, Wen-Bo Su, Wei Wu, Cheng-Wei Qiu, Ping-Xing Chen, Weibin Li, Hui Jing, Yan-Li Zhou

“…Abstract An ancient and counterintuitive phenomenon known as the Mpemba effect (water can cool faster when initially heated up) showcases the critical role of initial conditions in relaxation processes. How to realize and utilize this effect for speeding up relaxation is an important but challenging task in purely quantum system till now. …”
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Amylin: Localization, Effects on Cerebral Arteries and on Local Cerebral Blood Flow in the Cat by Lars Edvinsson, Peter J. Goadsby, Rolf Uddman

“…CGRP and amylin caused concentration-dependent relaxations at low concentrations of PGF2a-precontracted segment (with or without endothelium) whereas only at high concentration did adrenomedullin cause relaxation. …”
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Magnetic Resonance Imaging of Mammalian Cells Individually Expressing Membrane-Associated Magnetosome Proteins I, L, B, and E by Qin Sun PhD, Gabriel Varela-Mattatall PhD, Prushoth Vivekanantha PhD, Moeiz Ahmed PhD, Salvan Hassan PhD, Selinia Hong PhD, Neil Gelman PhD, R. Terry Thompson PhD, Frank S. Prato PhD, Donna E. Goldhawk PhD

“…Total cellular iron was measured by inductively-coupled plasma mass spectrometry and correlated with relaxation rates obtained from phantom experiments. …”
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Visible light-responsive hydrogels for cellular dynamics and spatiotemporal viscoelastic regulation by Yan Lu, Cheng Chen, Hangyu Li, Peng Zhao, Yuanfeng Zhao, Bohan Li, Wei Zhou, Gaofeng Fan, Dongshi Guan, Yijun Zheng

“…Utilizing this platform, we demonstrate that ovarian cancer cells exhibit contrasting behaviors in contraction and spreading when subjected to dynamic stress relaxation changes over various time periods. Additionally, we observed a “memory effect” in the cell’s response to alterations in stress relaxation time. …”
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Gadolinium(III) Complexes with N-Alkyl-N-methylglucamine Surfactants Incorporated into Liposomes as Potential MRI Contrast Agents by Simone Rodrigues Silva, Érica Correia Duarte, Guilherme Santos Ramos, Flávio Vinícius Crizóstomo Kock, Fabiana Diuk Andrade, Frédéric Frézard, Luiz Alberto Colnago, Cynthia Demicheli

“…The transverse (r2) and longitudinal (r1) relaxivity protons were measured at 20 MHz and compared with those of the commercial contrasts. …”
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Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuations by Manish Patel, Amir Shee, Debasish Chaudhuri

“…We analyze dynamical crossovers in particle displacement before reaching the steady state, focusing on three key timescales: speed relaxation, persistence, and dynamical relaxation in the trap. …”
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Upgrading of Resolution Elastic Neutron Scattering (RENS) by S. Magazù, F. Migliardo, M. T. Caccamo

“…In particular it is shown that the measured elastic scattering law as a function of the logarithm of the instrumental energy of resolution gives rise to an increasing sigmoid trend whose inflection point can be connected with the system relaxation time. The validity of the RENS approach is supported by a numerical simulation, taking into account a Gaussian resolution function and a Lorentzian scattering law, and experimentally by integrated EINS and QENS measurements performed as a function of temperature on three homologous disaccharide/water mixtures showing different relaxation times. …”
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Comparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipation by Yang X., Tang Y., Cai D., Zhang L., Du Y., Zhou S.

“…Furthermore, the kinetic phase diagrams in the Si-As system were predicted by using the phase-field simulation with the time-elimination relaxation scheme.…”
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Charge trapping in SiO2 substrate during electron beam deposition of CaF2 thin films of different thicknesses by Marina Romanova, Sergii Chertopalov, Yuri Dekhtyar, Ladislav Fekete, Ján Lančok, Michal Novotný, Petr Pokorný, Anatoli I. Popov, Hermanis Sorokins, Aleksandr Vilken

“…The study also investigated the relaxation of the PE spectra in both vacuum and air environments. …”
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Nonequilibrium Dynamics of Charged Dual-Unitary Circuits by Alessandro Foligno, Pasquale Calabrese, Bruno Bertini

“…In contrast to the known class of solvable states, which relax to the infinite-temperature state, these states relax to a family of nontrivial generalized Gibbs ensembles. …”
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Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Po... by Meirong Ren, Tiange Zhang, Jifeng Cui, Xiaogang Chen, Bixia Wu

“…When the Hartmann number is smaller, the increase of relaxation time leads to the increase of velocity; when the Hartmann number is larger, the increase of relaxation time leads to the decrease of velocity. …”
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A Fractional-Order Model of Biopolyester Containing Naturally Occurring Compounds for Soil Stabilization by Nadka Tzankova Dintcheva, Marilena Baiamonte, Rosalia Teresi, Gioacchino Alotta, Emanuela Bologna, Massimiliano Zingales

“…Certainly, several experimental tests conducted on polymeric- and biopolymeric-based materials, such as rubbers, foams, and hydro/aero gels, show that the relaxation time spectra are a continuous function, and as a consequence, multiple relaxation times are involved in the rheological description of the materials, yielding the need for nonconventional relaxation functions. …”
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ACUTE PAIN NURSING CARE WITH CONGESTIVE HEART FAILURE by Fatkhiyatul Fitria, Ilkafah Ilkafah, Cucuk Rachmadi Prasetyo

“…To reduce pain problems, there are several therapies that can be done, namely deep breath relaxation techniques, guide imagery techniques, and environmental management. …”
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On η-Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems by Ali Farajzadeh, Somaye Jafari, Chin-Tzong Pang

“…We first introduce the notion of η-upper sign property which is an extension of the upper sign property introduced in Castellani and Giuli, 2013, by relaxing convexity on the set. Afterwards, we establish a link between the solution sets of local dual equilibrium problem (Minty local equilibrium problem) and equilibrium problem for mappings whose domains are not necessarily convex by relaxing the upper sign continuity on the map, as it is assumed in the literature (Bianchi and Pini, 2005; Castellani and Giuli, 2013; Farajzadeh and Zafarani, 2010). …”
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A Global Optimization Algorithm for Generalized Quadratic Programming by Hongwei Jiao, Yongqiang Chen

“…The proposed algorithm is convergent to the global minimum of the (GQP) by means of the subsequent solutions of a series of relaxation linear programming problems. Finally, numerical results show the robustness and effectiveness of the proposed algorithm.…”
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Spin-polarized lasing in manganese doped perovskite microcrystals by Penghao Li, Zhonghao Zhou, Guangliu Ran, Tongjin Zhang, Zhengjun Jiang, Haidi Liu, Wenkai Zhang, Yongli Yan, Jiannian Yao, Haiyun Dong, Yong Sheng Zhao

“…However, the rapid carrier spin relaxation process in hybrid perovskites presents a major bottleneck for spin-polarized lasing. …”
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An adaptive least-squares algorithm for the elliptic Monge–Ampère equation by Caboussat, Alexandre, Gourzoulidis, Dimitrios, Picasso, Marco

“…We address the numerical solution of the Dirichlet problem for the two-dimensional elliptic Monge–Ampère equation using a least-squares/relaxation approach. The relaxation algorithm allows the decoupling of the differential operators from the nonlinearities of the equation, within a splitting approach. …”
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