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dc.contributor.authorAlexandrov, D. V.en
dc.contributor.authorGalenko, P. K.en
dc.date.accessioned2022-05-12T08:29:44Z-
dc.date.available2022-05-12T08:29:44Z-
dc.date.issued2021-
dc.identifier.citationAlexandrov D. V. Analytical Solutions to the Boundary Integral Equation: A Case of Angled Dendrites and Paraboloids / D. V. Alexandrov, P. K. Galenko // Mathematical Methods in the Applied Sciences. — 2021. — Vol. 44. — Iss. 16. — P. 12058-12066.en
dc.identifier.issn0170-4214-
dc.identifier.otherAll Open Access, Hybrid Gold3
dc.identifier.urihttp://elar.urfu.ru/handle/10995/112159-
dc.description.abstractThe boundary integral equation is solved analytically in the case of two- and three-dimensional growth of angled dendrites and arbitrary parabolic/paraboloidal solid/liquid interfaces. The undercooling of a binary melt and the solute concentration at the phase transition boundary are found. The theory under consideration has a potential impact in describing more complex growth shapes and interfaces. © 2020 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd.en
dc.description.sponsorshipThis work was supported by the Ministry of Science and Higher Education of the Russian Federation (project number FEUZ‐2020‐0057) and the German Space Center Space Management (contract number 50WM1941).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherJohn Wiley and Sons Ltden1
dc.publisherWileyen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceMath Methods Appl Sci2
dc.sourceMathematical Methods in the Applied Sciencesen
dc.subjectBOUNDARY INTEGRALen
dc.subjectDENDRITEen
dc.subjectMODELen
dc.subjectSOLIDIFICATIONen
dc.subjectENGINEERINGen
dc.subjectMATHEMATICAL TECHNIQUESen
dc.subjectBINARY MELTen
dc.subjectPHASE-TRANSITION BOUNDARYen
dc.subjectPOTENTIAL IMPACTSen
dc.subjectSOLID/LIQUID INTERFACESen
dc.subjectSOLUTE CONCENTRATIONSen
dc.subjectTHREE-DIMENSIONAL GROWTHen
dc.subjectBOUNDARY INTEGRAL EQUATIONSen
dc.titleAnalytical Solutions to the Boundary Integral Equation: A Case of Angled Dendrites and Paraboloidsen
dc.typeConference Paperen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1002/mma.6570-
dc.identifier.scopus85087171531-
local.contributor.employeeAlexandrov, D.V., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federation; Galenko, P.K., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federation, Faculty of Physics and Astronomy, Friedrich Schiller University Jena, Jena, Germanyen
local.description.firstpage12058-
local.description.lastpage12066-
local.issue16-
local.volume44-
dc.identifier.wos000544341600001-
local.contributor.departmentDepartment of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federation; Faculty of Physics and Astronomy, Friedrich Schiller University Jena, Jena, Germanyen
local.identifier.pure23817739-
local.identifier.eid2-s2.0-85087171531-
local.identifier.wosWOS:000544341600001-
local.fund.feuzFEUZ‐2020‐0057-
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