{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,11,11]],"date-time":"2026-11-11T00:31:51Z","timestamp":1794357111656,"version":"4.9.0"},"reference-count":59,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["GK202406034"],"award-info":[{"award-number":["GK202406034"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100017596","name":"Natural Science Basic Research Program of Shaanxi Province","doi-asserted-by":"publisher","award":["2025JC-YBQN-066"],"award-info":[{"award-number":["2025JC-YBQN-066"]}],"id":[{"id":"10.13039\/501100017596","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12374441"],"award-info":[{"award-number":["12374441"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12504538"],"award-info":[{"award-number":["12504538"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Ultrasonics Sonochemistry"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.ultsonch.2026.108093","type":"journal-article","created":{"date-parts":[[2026,10,5]],"date-time":"2026-10-05T06:51:25Z","timestamp":1791183085000},"page":"108093","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Stability of curved chain-like bubble structures and transport behavior of gas nuclei in localized turbulent Flows"],"prefix":"10.1016","volume":"134","author":[{"given":"Zhaokang","family":"Lei","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiajie","family":"Guo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hanqing","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Huanhuan","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-0709-8199","authenticated-orcid":false,"given":"Yaorong","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhiyuan","family":"Cui","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhenyou","family":"Liang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Liangliang","family":"Han","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2306-3106","authenticated-orcid":false,"given":"Chenghui","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.ultsonch.2026.108093_b0005","first-page":"1425","article-title":"A Numerical investigation of the effect of boundary conditions on acoustic pressure distribution in a sonochemical reactor chamber","volume":"20","author":"Sboev","year":"2024","journal-title":"Fluid Dyn. & Mater. Process."},{"key":"10.1016\/j.ultsonch.2026.108093_b0010","doi-asserted-by":"crossref","DOI":"10.1016\/j.jmatprotec.2022.117586","article-title":"A critical comparative review of cavitation peening and other surface peening methods","volume":"305","author":"Soyama","year":"2022","journal-title":"J. Mater. Process. Technol."},{"key":"10.1016\/j.ultsonch.2026.108093_b0015","doi-asserted-by":"crossref","first-page":"1229","DOI":"10.1007\/s12551-021-00896-5","article-title":"Acoustic cavitation\u2011induced shear: a mini\u2011review","volume":"13","author":"Mondal","year":"2021","journal-title":"Biophys. Rev."},{"key":"10.1016\/j.ultsonch.2026.108093_b0020","doi-asserted-by":"crossref","first-page":"9881","DOI":"10.1021\/acs.nanolett.5c00692","article-title":"Engineering liquid metal particles: design rules for sonication based methods","volume":"25","author":"Hwang","year":"2025","journal-title":"Nano Lett."},{"key":"10.1016\/j.ultsonch.2026.108093_b0025","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/j.ultras.2005.08.004","article-title":"Studies of a novel sensor for assessing the spatial distribution of cavitation activity within ultrasonic cleaning vessels","volume":"44","author":"Zeqiri","year":"2006","journal-title":"Ultrasonics"},{"key":"10.1016\/j.ultsonch.2026.108093_b0030","doi-asserted-by":"crossref","first-page":"3161","DOI":"10.1143\/JJAP.44.3161","article-title":"Cavitation bubble streaming in ultrasonic-standing-wave field","volume":"44","author":"Nomura","year":"2005","journal-title":"Jpn. J. Appl. Phys."},{"key":"10.1016\/j.ultsonch.2026.108093_b0035","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.cirpj.2024.06.015","article-title":"Enhancement of acoustic cavitation streaming: a study on surface finishing of additively manufactured components","volume":"53","author":"Medya","year":"2024","journal-title":"CIRP J. Manuf. Sci. Technol."},{"key":"10.1016\/j.ultsonch.2026.108093_b0040","doi-asserted-by":"crossref","first-page":"388","DOI":"10.1016\/j.jconrel.2022.06.056","article-title":"Mechanisms of ultrasound-microbubble cavitation for inducing the permeability of human skin","volume":"349","author":"Liao","year":"2022","journal-title":"J. Controlled Release"},{"key":"10.1016\/j.ultsonch.2026.108093_b0045","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1007\/s42417-024-01482-1","article-title":"A flexural ultrasonic transducer for inducing acoustic cavitation on material surfaces","volume":"12","author":"Sugita","year":"2024","journal-title":"J. Vib. Eng. Technol."},{"key":"10.1016\/j.ultsonch.2026.108093_b0050","first-page":"1","article-title":"Bubble structures in acoustic cavitation","author":"Mettin","year":"2005","journal-title":"Mod. Trends Appl. Res. Signpost."},{"key":"10.1016\/j.ultsonch.2026.108093_b0055","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1016\/j.ultsonch.2014.05.018","article-title":"Sound field measurement in a double layer cavitation cluster by rugged miniature needle hydrophones","volume":"29","author":"Koch","year":"2016","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0060","doi-asserted-by":"crossref","DOI":"10.1016\/j.ultsonch.2022.106286","article-title":"Synchrotron X-ray imaging of the onset of ultrasonic horn cavitation","volume":"92","author":"Biasiori-Poulanges","year":"2023","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0065","doi-asserted-by":"crossref","DOI":"10.1016\/j.ultsonch.2024.106837","article-title":"High-speed imaging of supersaturated cavitation clouds and the vibration modes of the radiation surface of high-power transducers","volume":"104","author":"Gao","year":"2024","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0070","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/j.ultsonch.2017.03.002","article-title":"Stability of cavitation structures in a thin liquid layer","volume":"38","author":"Wu","year":"2017","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0075","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1016\/j.ultsonch.2011.06.007","article-title":"A simple model of ultrasound propagation in a cavitating liquid. Part I: theory, nonlinear attenuation and traveling wave generation","volume":"19","author":"Louisnard","year":"2012","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0080","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/j.ultsonch.2011.06.008","article-title":"A simple model of ultrasound propagation in a cavitating liquid. Part II: primary Bjerknes force and bubble structures","volume":"19","author":"Louisnard","year":"2012","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0085","doi-asserted-by":"crossref","unstructured":"L. A. Crum, Nucleation and stabilization of microbubbles in liquids. In: van Wijngaarden, L. (eds) Mechanics and Physics of Bubbles in Liquids. Springer, Dordrecht. Doi: 10.1007\/978-94-009-7532-3_9.","DOI":"10.1007\/978-94-009-7532-3_9"},{"key":"10.1016\/j.ultsonch.2026.108093_b0090","doi-asserted-by":"crossref","DOI":"10.1088\/0256-307X\/36\/8\/084302","article-title":"Chin. Oscillation and migration of bubbles within ultrasonic field","volume":"36","author":"Wu","year":"2019","journal-title":"Chin. Phys. Lett."},{"key":"10.1016\/j.ultsonch.2026.108093_b0095","doi-asserted-by":"crossref","DOI":"10.1016\/j.ultsonch.2022.106060","article-title":"Modeling acoustic cavitation with inhomogeneous polydisperse bubble population on a large scale","volume":"89","author":"Lesnik","year":"2022","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0100","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.ultsonch.2018.11.006","article-title":"Hydrodynamic and mass transfer investigation of oxidative desulfurization of a model fuel using an ultrasound horn reactor","volume":"52","author":"Rahimi","year":"2019","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0105","doi-asserted-by":"crossref","DOI":"10.1063\/5.0273687","article-title":"Breakage of a single oil drop in water via acoustic and hydrodynamic cavitation","volume":"37","author":"Pandey","year":"2025","journal-title":"Phys. Fluids"},{"key":"10.1016\/j.ultsonch.2026.108093_b0110","doi-asserted-by":"crossref","DOI":"10.1016\/j.ultsonch.2023.106500","article-title":"Cavitation bubble structures below a soft boundary in an ultrasonic field","volume":"98","author":"Li","year":"2023","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0115","doi-asserted-by":"crossref","DOI":"10.1016\/j.ultsonch.2022.106057","article-title":"Interactions of bubbles in acoustic Lichtenberg figure","volume":"87","author":"Li","year":"2022","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0120","doi-asserted-by":"crossref","DOI":"10.7566\/JPSJ.94.114401","article-title":"Effects of boundaries on the nonlinear pulsation of cavitation bubble driven by ultrasound","volume":"94","author":"Wang","year":"2025","journal-title":"J. Phys. Soc. Jpn."},{"key":"10.1016\/j.ultsonch.2026.108093_b0125","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1139\/P10-022","article-title":"The growth of vapour bubble in a superheated liquid between two phase turbulent flow","volume":"88","author":"Mohammadein","year":"2010","journal-title":"Can. J. Phys."},{"key":"10.1016\/j.ultsonch.2026.108093_b0130","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1166\/jon.2019.1592","article-title":"Theory of bubble dynamics: temperature distribution around the growing bubbles of turbulent flow","volume":"8","author":"Abu-Bakr","year":"2019","journal-title":"J. Nanofluids"},{"key":"10.1016\/j.ultsonch.2026.108093_b0135","doi-asserted-by":"crossref","first-page":"503","DOI":"10.2298\/TSCI190330380S","article-title":"Growth of N-dimensional spherical bubble within viscous, superheated liquid analytical solution","volume":"25","author":"Shalaby","year":"2021","journal-title":"Therm. Sci."},{"key":"10.1016\/j.ultsonch.2026.108093_b0140","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/s44198-025-00368-4","article-title":"Magnetically induced nonlinear multicavitation dynamics near a rigid wall in (MWCNT- SWCNT-CuO-TiO2-MgO) penta-hybrid nanofluids: investigation of thermophysical properties","volume":"33","author":"Abu-Nab","year":"2026","journal-title":"J. Nonlinear Math. Phys."},{"key":"10.1016\/j.ultsonch.2026.108093_b0145","doi-asserted-by":"crossref","DOI":"10.1016\/j.ultsonch.2024.107106","article-title":"Acoustic black hole immersed sonoreactor for high-efffciency cavitation treatment","volume":"111","author":"Chen","year":"2024","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0150","doi-asserted-by":"crossref","DOI":"10.1016\/j.ultsonch.2013.07.011","article-title":"Acoustic cavitation structures produced by artificial implants of nuclei","volume":"21","author":"Bai","year":"2014","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0155","doi-asserted-by":"crossref","DOI":"10.1016\/j.ultsonch.2023.106738","article-title":"Cavitation cloud formation and surface damage of a model stone in a high-intensity focused ultrasound field","volume":"102","author":"Biasiori-Poulanges","year":"2024","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0160","doi-asserted-by":"crossref","first-page":"1848","DOI":"10.1039\/c002363a","article-title":"Ohl, Creation of cavitation activity in a microfluidic device through acoustically driven capillary waves","volume":"10","author":"Tandiono","year":"2010","journal-title":"Lab Chip"},{"key":"10.1016\/j.ultsonch.2026.108093_b0165","doi-asserted-by":"crossref","DOI":"10.35848\/1347-4065\/abe99c","article-title":"Number density of bubbles under ultrasonic horn measured from stroboscopic images","volume":"60","author":"Kuroyama","year":"2021","journal-title":"Jpn. J. Appl. Phys."},{"key":"10.1016\/j.ultsonch.2026.108093_b0170","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1016\/j.jcis.2018.08.081","article-title":"The meniscus on the outside of a circular cylinder: from microscopic to macroscopic scales","volume":"533","author":"Tang","year":"2019","journal-title":"J. Colloid Interface Sci."},{"key":"10.1016\/j.ultsonch.2026.108093_b0175","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/j.ultsonch.2016.10.019","article-title":"Surface tension and quasi-emulsion of cavitation bubble cloud","volume":"35","author":"Bai","year":"2017","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0180","doi-asserted-by":"crossref","DOI":"10.1016\/j.ces.2022.117584","article-title":"Experimental study of single bubble breakage in turbulent flow field: evaluation of breakage models","volume":"253","author":"Foroushan","year":"2022","journal-title":"Chem. Eng. Sci."},{"key":"10.1016\/j.ultsonch.2026.108093_b0185","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/j.ijmultiphaseflow.2017.08.006","article-title":"Experimental study on the bubble breakage in a stirred tank. Part 1. Mechanism and effect of operating parameters","volume":"97","author":"Hasan","year":"2017","journal-title":"Int. J. Multiphase Flow"},{"key":"10.1016\/j.ultsonch.2026.108093_b0190","doi-asserted-by":"crossref","first-page":"973","DOI":"10.1080\/01932691.2016.1216440","article-title":"A bubble breakage model for finite Reynolds number flows","volume":"38","author":"Solsvik","year":"2016","journal-title":"J. Dispersion Sci. Technol."},{"key":"10.1016\/j.ultsonch.2026.108093_b0195","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1017\/S0022112099006680","article-title":"On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency","volume":"401","author":"Mart\u00ednez-Baz\u00e1n","year":"1999","journal-title":"J. Fluid Mech."},{"key":"10.1016\/j.ultsonch.2026.108093_b0200","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijmultiphaseflow.2021.103645","article-title":"Bubble fragmentation dynamics in a subsonic Venturi tube for the design of a compact microbubble generator","volume":"139","author":"Murai","year":"2021","journal-title":"Int. J. Multiphase Flow"},{"key":"10.1016\/j.ultsonch.2026.108093_b0205","first-page":"477","article-title":"Single air bubble breakup experiments in stirred water tank","volume":"13","author":"Solsvik","year":"2015","journal-title":"Int. J. Chem. Eng."},{"key":"10.1016\/j.ultsonch.2026.108093_b0210","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevFluids.9.123604","article-title":"Dynamics of bubble deformation and breakup in decaying isotropic turbulence","volume":"9","author":"Calado","year":"2024","journal-title":"Phys. Rev. Fluids"},{"key":"10.1016\/j.ultsonch.2026.108093_b0215","doi-asserted-by":"crossref","DOI":"10.1002\/aic.17062","article-title":"Experimental measurement of bubble breakup in a jet bubbling reactor","volume":"67","author":"Shuai","year":"2021","journal-title":"AIChE J"},{"key":"10.1016\/j.ultsonch.2026.108093_b0220","doi-asserted-by":"crossref","first-page":"2772","DOI":"10.1121\/1.413242","article-title":"Effects of thermal conduction on bubble dynamics near the sonoluminescence threshold","volume":"98","author":"Yasui","year":"1995","journal-title":"J. Acoust. Soc. Am."},{"key":"10.1016\/j.ultsonch.2026.108093_b0225","doi-asserted-by":"crossref","first-page":"A58","DOI":"10.1017\/jfm.2024.954","article-title":"A theoretical model for compressible bubble dynamics considering phase transition and migration","volume":"999","author":"Zhang","year":"2024","journal-title":"J. Fluid Mech."},{"key":"10.1016\/j.ultsonch.2026.108093_b0230","doi-asserted-by":"crossref","first-page":"3727","DOI":"10.1121\/1.4802906","article-title":"Bubble cluster dynamics in an acoustic field","volume":"133","author":"Nasibullaeva","year":"2013","journal-title":"J. Acoust. Soc. Am."},{"key":"10.1016\/j.ultsonch.2026.108093_b0235","doi-asserted-by":"crossref","DOI":"10.1016\/j.ces.2024.120128","article-title":"High energy dissipation rates from the impingement of free paper-thin sheets of liquids: determination of the volume of the energy dissipation zone","volume":"294","author":"Demyanovich","year":"2024","journal-title":"Chem. Eng. Sci."},{"key":"10.1016\/j.ultsonch.2026.108093_b0240","doi-asserted-by":"crossref","DOI":"10.1016\/j.ultras.2023.106992","article-title":"Structure of bubble cluster adjacent to the water surface in the ultrasonic field","volume":"132","author":"Li","year":"2023","journal-title":"Ultrasonics"},{"key":"10.1016\/j.ultsonch.2026.108093_b0245","article-title":"Daughter bubbles generation via bubble bursting induced by ultrasonic radiation","volume":"37","author":"Tang","year":"2025","journal-title":"Phys. Fluids"},{"key":"10.1016\/j.ultsonch.2026.108093_b0250","doi-asserted-by":"crossref","DOI":"10.1016\/j.expthermflusci.2022.110618","article-title":"Exp. Faraday wave instability characteristics of a single droplet in ultrasonic atomization and the sub-droplet generation mechanism","volume":"134","author":"Yuan","year":"2022","journal-title":"Exp. Therm Fluid Sci."},{"key":"10.1016\/j.ultsonch.2026.108093_b0255","doi-asserted-by":"crossref","DOI":"10.1063\/5.0010464","article-title":"A new insight on a mechanism of airborne and underwater sound of a drop impacting a liquid surface","volume":"32","author":"Gillot","year":"2020","journal-title":"Phys. Fluids"},{"key":"10.1016\/j.ultsonch.2026.108093_b0260","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1016\/S0009-2509(02)00528-6","article-title":"Small bubble formation via a coalescence dependent break-up mechanism","volume":"58","author":"Tse","year":"2003","journal-title":"Chem. Eng. Sci."},{"key":"10.1016\/j.ultsonch.2026.108093_b0265","doi-asserted-by":"crossref","DOI":"10.1063\/5.0195923","article-title":"Acoustic radiation of bubble clusters with different volume fractions","volume":"36","author":"Deng","year":"2024","journal-title":"Phys. Fluids"},{"key":"10.1016\/j.ultsonch.2026.108093_b0270","doi-asserted-by":"crossref","DOI":"10.1016\/j.ultsonch.2021.105734","article-title":"Enhancement of oscillation amplitude of cavitation bubble due to acoustic wake effect in multibubble environment","volume":"78","author":"Yamamoto","year":"2021","journal-title":"Ultrason. Sonochem."},{"key":"10.1016\/j.ultsonch.2026.108093_b0275","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1080\/10586458.1992.10504253","article-title":"The surface evolver","volume":"1","author":"Brakke","year":"1992","journal-title":"Exp. Math."},{"key":"10.1016\/j.ultsonch.2026.108093_b0280","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/s11242-023-01905-9","article-title":"Interface shapes in microfuidic porous media: conditions allowing steady, simultaneous two\u2011phase flow","volume":"147","author":"Cox","year":"2023","journal-title":"Transp. Porous Media"},{"key":"10.1016\/j.ultsonch.2026.108093_b0285","doi-asserted-by":"crossref","first-page":"470","DOI":"10.1016\/j.ultsonch.2006.09.016","article-title":"Bubbles in an acoustic field: an overview","volume":"14","author":"Ashokkumar","year":"2007","journal-title":"Ultrasonics"},{"key":"10.1016\/j.ultsonch.2026.108093_b0290","doi-asserted-by":"crossref","first-page":"1572","DOI":"10.1038\/s41467-025-56611-5","article-title":"Galloping bubbles","volume":"16","author":"Guan","year":"2025","journal-title":"Nat. Commun."},{"key":"10.1016\/j.ultsonch.2026.108093_b0295","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/BF01582221","article-title":"On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds","volume":"67","author":"Coleman","year":"1994","journal-title":"Math. Program."}],"container-title":["Ultrasonics Sonochemistry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1350417726003585?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1350417726003585?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,11,11]],"date-time":"2026-11-11T00:19:29Z","timestamp":1794356369000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1350417726003585"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":59,"alternative-id":["S1350417726003585"],"URL":"https:\/\/doi.org\/10.1016\/j.ultsonch.2026.108093","relation":{},"ISSN":["1350-4177"],"issn-type":[{"value":"1350-4177","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Stability of curved chain-like bubble structures and transport behavior of gas nuclei in localized turbulent Flows","name":"articletitle","label":"Article Title"},{"value":"Ultrasonics Sonochemistry","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ultsonch.2026.108093","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Authors. Published by Elsevier B.V.","name":"copyright","label":"Copyright"}],"article-number":"108093"}}