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Design and current progress of the Apollon 10 PW project

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High Power Laser Science and Engineering 2015年第1期3卷 32-35页

作者： J.P.Zou C.Le Blanc D.N.Papadopoulos g.chériaux P.georges g.Mennerat F.Druon L.Lecherbourg A.Pellegrina P.Ramirez F.giambruno A.Fréneaux F.Leconte D.Badarau J.M.Boudenne *** T.Valloton J.L.Paillard J.L.Veray M.Pina P.Monot J.P.chambaret P.Martin F.Mathieu P.Audebert F.Amiranoff Laboratoire pour l’Utilisation des Lasers Intenses CNRSEcole Polytechnique Laboratoire d’Optique Appliquée ENSTA Paris TechCNRS Laboratoire charles Fabry UMR 8501Institut d’OptiqueCNRSUniversité Paris Sud CEA IramisSPAM

The objective of the Apollon project is the generation of 10 PW peak power pulses of 15 fs at 1 shot/minute. In this paper the Apollon facility design, the technological challenges and the current progress of the proj... 详细信息

关键词： titanium lasers PW class facilities

ADER-WAF Schemes for the Homogeneous One-Dimensional Shallow Water Equations

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Applied Mathematics 2025年第1期16卷 61-112页

作者： Pavlos Stampolidis Maria ch. gousidou-Koutita Department of Mathematics Faculty of Sciences Aristotle University Thessaloniki Greece

ADER-WAF methods were first introduced by researchers E.F. Toro and V.A. Titarev. The linear stability criterion for the model equation for the ADER-WAF schemes is CCFL≤1, where CCFLdenotes the Courant-Friedrichs-Lewy (CFL) coefficient. Toro and Titarev employed CCFL=0.95for their experiments. Nonetheless, we noted that the experiments conducted in this study with CCFL=0.95produced solutions exhibiting spurious oscillations, particularly in the high-order ADER-WAF schemes. The homogeneous one-dimensional (1D) non-linear Shallow Water Equations (SWEs) are the subject of these experiments, specifically the solution of the Riemann Problem (RP) associated with the SWEs. The investigation was conducted on four test problems to evaluate the ADER-WAF schemes of second, third, fourth, and fifth order of accuracy. Each test problem constitutes a RP characterized by different wave patterns in its solution. This research has two primary objectives. We begin by illustrating the procedure for implementing the ADER-WAF schemes for the SWEs, providing the required relations. Afterward, following comprehensive testing, we present the range for the CFL coefficient for each test that yields solutions with diminished or eliminated spurious oscillations.

关键词： 1D Shallow Water Equations ADER-WAF Schemes Finite Volume Schemes Riemann Problem

An SPH Framework for Earthquake-Induced Liquefaction Hazard Assessment of geotechnical Structures

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Computer Modeling in Engineering & Sciences 2025年第1期142卷 251-277页

作者： Sourabh Mhaski g.V.Ramana Department of Civil Engineering Indian Institute of Technology DelhiNew Delhi110016India

Earthquake-induced soil liquefaction poses significant risks to the stability of geotechnical structures *** understanding of the liquefaction triggering,and the post-failure large deformation behaviour is essential for designing resilient *** present study develops a Smoothed Particle Hydrodynamics(SPH)framework for earthquake-induced liquefaction hazard assessment of geotechnical *** coupled flowdeformation behaviour of soils subjected to cyclic loading is described using the PM4Sand model implemented in a three-phase,single-layer SPH framework.A staggered discretisation scheme based on the stress particle SPH approach is adopted to minimise numerical inaccuracies caused by zero-energy modes and tensile ***,non-reflecting boundary conditions for seismic analysis of semi-infinite soil domains using the SPH method are *** numerical framework is employed for the analysis of cyclic direct simple shear test,seismic analysis of a level ground site,and liquefaction-induced failure of the Lower San Fernando *** agreement for liquefaction triggering and post-failure behaviour demonstrates that the SPH framework can be utilised to assess the effect of seismic loading on field-scale geotechnical *** present study also serves as the basis for future advancements of the SPH method for applications related to earthquake geotechnical engineering.

关键词： Earthquake seismic liquefaction stress particle PM4Sand smoothed particle hydrodynamics(SPH)

Projective Hilbert modules and sequential approximations

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Science china Mathematics 2025年第1期68卷 137-168页

作者： Lawrence g.Brown Huaxin Lin Department of Mathematics Purdue UniversityWest LafayetteIN 47907-2067USA Department of Mathematics East China Normal UniversityShanghai 200062China Department of Mathematics University of OregonEugeneOR 97405USA

We show that when A is a separable C^(*)-algebra,every countably generated Hilbert A-module is projective(with bounded module maps as morphisms).We also study the approximate extensions of bounded module *** the case where A is aσ-unital simple C^(*)-algebra with strict comparison,and every strictly positive lower semicontinuous affine function on quasitraces can be realized as the rank of an element in the Cuntz semigroup,we show that the Cuntz semigroup is equivalent to unitarily equivalent classes of countably generated Hilbert A-modules if and only if A has stable rank one.

关键词： projective Hilbert modules simple C^(*)-algebras sequential approximations

On Sawada-Kotera and Kaup-Kuperschmidt integrable systems

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Communications in Theoretical Physics 2025年第2期77卷 23-31页

作者： Metin gürses Asl| Pekcan Department of Mathematics Faculty of Science Bilkent University Department of Mathematics Faculty of Science Hacettepe University

To obtain new integrable nonlinear differential equations there are some well-known methods such as Lax equations with different Lax representations. There are also some other methods that are based on integrable scalar nonlinear partial differential equations. We show that some systems of integrable equations published recently are the M2-extension of integrable such scalar equations. For illustration, we give Korteweg–de Vries, Kaup-Kupershmidt, and SawadaKotera equations as examples. By the use of such an extension of integrable scalar equations, we obtain some new integrable systems with recursion operators. We also give the soliton solutions of the systems and integrable standard nonlocal and shifted nonlocal reductions of these systems.

关键词： recursion operator nonlocal reductions Hirota bilinear form soliton solutions .M2-extension recursion operator nonlocal reductions Hirota bilinear form soliton solutions

Stepping up after spinal cord injury:negotiating an obstacle during walking

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Neural Regeneration Research 2025年第7期20卷 1919-1929页

作者： Alain Frigon charly g.Lecomte Department of Pharmacology-Physiology Faculty of Medicine and Health SciencesUniversitéde SherbrookeCentre de recherche du Centre Hospitalier Universitaire de SherbrookeSherbrookeQCCanada

Every day walking consists of frequent voluntary modifications in the gait pattern to negotiate *** spinal cord injury,stepping over an obstacle becomes *** over an obstacle requires sensorimotor transformations in several structures of the brain,including the parietal cortex,premotor cortex,and motor *** information and planning are transformed into motor commands,which are sent from the motor cortex to spinal neuronal circuits to alter limb trajectory,coordinate the limbs,and maintain *** spinal cord injury,bidirectional communication between the brain and spinal cord is disrupted and animals,including humans,fail to voluntarily modify limb trajectory to step over an ***,in this review,we discuss the neuromechanical control of stepping over an obstacle,why it fails after spinal cord injury,and how it recovers to a certain extent.

关键词： biomechanics locomotion neurophysiology obstacle negotiation spinal cord injury

ON THE gAUSSIAN KINEMATIC FORMULA OF *** AND ***

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Acta Mathematica Scientia 2025年第1期45卷 200-214页

作者： Joseph H.g.Fu Department of Mathematics University of GeorgiaAthensGA30602USA

We apply methods of algebraic integral geometry to prove a special case of the gaussian kinematic formula of *** idea,suggested already by Adler and Taylor,is to view the gKF as the limit of spherical kinematic formul... 详细信息

关键词： integral geometry kinematic formula probability density gaussian density

Damage analysis caused by ^(60)Co ions in functionally graded materials

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Defence Technology(防务技术) 2025年第2期44卷 248-256页

作者： Zübeyde Özkan Ugur gökmen Sema Bilge Ocak Department of Advanced Technologies Graduate School of Natural and Applied SciencesGazi UniversityAnkara06560Turkiye Department of Metallurgical and Materials Engineering Faculty of TechnologyGazi UniversityAnkara 06560Turkiye Basic and Engineering Sciences Central Laboratory Application and Research Center Gazi UniversityAnkara 06560Turkiye

Functionally graded composite/hybrid materials(FgCM/FgHCM)were produced by adding B_(4)C,TiO_(2),and B_(4)C+TiO_(2)ceramic materials at various ratios(0-50%)into the AA6082 *** analysis of the damage caused by^(60) ions'(1.173-1.1332 MeV)on the material was examined using the SRIM/TRIM Monte Carlo simulation *** the simulation,the following data regarding the atoms of the target materials were obtained:ion distribution,target ionization,total displacements,surface binding energy,lattice binding energy,and displacement *** the studied four materials,the one with the highest ion range value was found to be AA6082 with ***_(2)was found to be the reinforcement material that reduced the ion range the most in the *** to its high binding energy,B_(4)C reinforced AA6082+(0-50%)B_(4)C FgCM was found to have the least vacancy with 4782/ion.

关键词： SRIM/TRIM Damage analysis AA6082 ^(60)Co ion

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自推进胶囊在小肠中移动时的优化控制

机械工程学报 2025年第03期 299-313页

作者：廖茂林李智朱佳鹏王泽旭 JOSEPH Páez chávez 北京科技大学机械工程学院北京科技大学井下智能控制研究院德累斯顿工业大学动力学研究中心

在消化道检测领域，传统的管线式内镜常给患者带来极大的心理负担与生理不适，胶囊内镜则因驱动方式和控制复杂等原因而难以对小肠部位开展全面而高效的检测。为此，考虑以双边约束的激振胶囊为研究对象，根据小肠结构的变化分别建立了... 详细信息

在消化道检测领域，传统的管线式内镜常给患者带来极大的心理负担与生理不适，胶囊内镜则因驱动方式和控制复杂等原因而难以对小肠部位开展全面而高效的检测。为此，考虑以双边约束的激振胶囊为研究对象，根据小肠结构的变化分别建立了扩张段和狭窄段的小肠-胶囊耦合动力学模型，并以小肠多变的摩擦环境以及对胶囊的包裹程度不同作为不稳定因素，分析了自推进胶囊的动力学行为规律。基于此，同时以胶囊的移动速度、单位能耗和对小肠壁冲击力作为优化目标，采用(Six-Sigma+NSgA-II+Monte-Carlo)组合优化算法获取胶囊可控移动对应的参数组合区间。最终，结合ADAMS动力学仿真与实验测试验证了当采用优化后的参数组合控制自推进胶囊时，可使其实现低能耗低冲击的定速定向移动。

关键词：小肠胶囊非光滑多目标优化运动控制