Stefan problem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Stefan problem" in English language version.

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ams.org

mathscinet.ams.org

(Vuik 1993, p. 157). Vuik, C. (1993), "Some historical notes about the Stefan problem", Nieuw Archief voor Wiskunde, 4e serie, 11 (2): 157–167, Bibcode:1993STIN...9332397V, MR 1239620, Zbl 0801.35002. An interesting historical paper on the early days of the theory; a preprint version (in PDF format) is available here [1].
Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim (2024). "The singular set in the Stefan problem". Journal of the American Mathematical Society. 37 (2): 305–389. arXiv:2103.13379. doi:10.1090/jams/1026. MR 4695505.
(Kirsch 1996). Kirsch, Andreas (1996), Introduction to the Mathematical Theory of Inverse Problems, Applied Mathematical Sciences series, vol. 120, Berlin–Heidelberg–New York: Springer Verlag, pp. x+282, ISBN 0-387-94530-X, MR 1479408, Zbl 0865.35004

arxiv.org

Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim (2024). "The singular set in the Stefan problem". Journal of the American Mathematical Society. 37 (2): 305–389. arXiv:2103.13379. doi:10.1090/jams/1026. MR 4695505.
Myers, T. G.; Hennessy, M. G.; Calvo-Schwarzwälder, M. (2020-03-01). "The Stefan problem with variable thermophysical properties and phase change temperature". International Journal of Heat and Mass Transfer. 149: 118975. arXiv:1904.05698. doi:10.1016/j.ijheatmasstransfer.2019.118975. hdl:2072/445741. ISSN 0017-9310. S2CID 115147121.

books.google.com

(Kirsch 1996). Kirsch, Andreas (1996), Introduction to the Mathematical Theory of Inverse Problems, Applied Mathematical Sciences series, vol. 120, Berlin–Heidelberg–New York: Springer Verlag, pp. x+282, ISBN 0-387-94530-X, MR 1479408, Zbl 0865.35004

cambridge.org

Lister, J.R. (1994). "The solidification of buoyancy-driven flow in a flexible-walled channel. Part 1. Constant-volume release". Journal of Fluid Mechanics. 272: 21–44. Bibcode:1994JFM...272...21L. doi:10.1017/S0022112094004362. S2CID 124068245.

doi.org

Caffarelli, Luis A. (1977). "The regularity of free boundaries in higher dimensions". Acta Mathematica. 139 (none): 155–184. doi:10.1007/BF02392236. ISSN 0001-5962. S2CID 123660704.
CAFFARELLI, LUIS A. (1978). "Some Aspects of the One-Phase Stefan Problem". Indiana University Mathematics Journal. 27 (1): 73–77. doi:10.1512/iumj.1978.27.27006. ISSN 0022-2518. JSTOR 24891579.
Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim (2024). "The singular set in the Stefan problem". Journal of the American Mathematical Society. 37 (2): 305–389. arXiv:2103.13379. doi:10.1090/jams/1026. MR 4695505.
Vermolen, F. J.; Gharasoo, M. G.; Zitha, P. L. J.; Bruining, J. (2009). "Numerical Solutions of Some Diffuse Interface Problems: The Cahn–Hilliard Equation and the Model of Thomas and Windle". International Journal for Multiscale Computational Engineering. 7 (6): 523–543. doi:10.1615/IntJMultCompEng.v7.i6.40.
Alvarenga HD, Van de Putter T, Van Steenberge N, Sietsma J, Terryn H (Apr 2009). "Influence of Carbide Morphology and Microstructure on the Kinetics of Superficial Decarburization of C-Mn Steels". Metallurgical and Materials Transactions A. 46 (1): 123–133. Bibcode:2015MMTA...46..123A. doi:10.1007/s11661-014-2600-y. S2CID 136871961.
Font, F.; Mitchell, S. L.; Myers, T. G. (2013-07-01). "One-dimensional solidification of supercooled melts". International Journal of Heat and Mass Transfer. 62: 411–421. doi:10.1016/j.ijheatmasstransfer.2013.02.070. hdl:2072/205484. ISSN 0017-9310.
Myers, T. G. (2016-08-01). "Mathematical modelling of phase change at the nanoscale". International Communications in Heat and Mass Transfer. 76: 59–62. doi:10.1016/j.icheatmasstransfer.2016.05.005. ISSN 0735-1933.
Font, F.; Myers, T. G.; Mitchell, S. L. (February 2015). "A mathematical model for nanoparticle melting with density change". Microfluidics and Nanofluidics. 18 (2): 233–243. doi:10.1007/s10404-014-1423-x. ISSN 1613-4982. S2CID 54087370.
Lister, J.R. (1994). "The solidification of buoyancy-driven flow in a flexible-walled channel. Part 1. Constant-volume release". Journal of Fluid Mechanics. 272: 21–44. Bibcode:1994JFM...272...21L. doi:10.1017/S0022112094004362. S2CID 124068245.
Myers, T. G.; Low, J. (October 2011). "An approximate mathematical model for solidification of a flowing liquid in a microchannel". Microfluidics and Nanofluidics. 11 (4): 417–428. doi:10.1007/s10404-011-0807-4. hdl:2072/169268. ISSN 1613-4982. S2CID 97060677.
Myers, T. G.; Charpin, J. P. F.; Chapman, S. J. (August 2002). "The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface". Physics of Fluids. 14 (8): 2788–2803. Bibcode:2002PhFl...14.2788M. doi:10.1063/1.1488599. hdl:2117/102903. ISSN 1070-6631.
Myers, T.G.; Charpin, J.P.F. (December 2004). "A mathematical model for atmospheric ice accretion and water flow on a cold surface". International Journal of Heat and Mass Transfer. 47 (25): 5483–5500. doi:10.1016/j.ijheatmasstransfer.2004.06.037.
Myers, T. G.; Hennessy, M. G.; Calvo-Schwarzwälder, M. (2020-03-01). "The Stefan problem with variable thermophysical properties and phase change temperature". International Journal of Heat and Mass Transfer. 149: 118975. arXiv:1904.05698. doi:10.1016/j.ijheatmasstransfer.2019.118975. hdl:2072/445741. ISSN 0017-9310. S2CID 115147121.

handle.net

hdl.handle.net

Font, F.; Mitchell, S. L.; Myers, T. G. (2013-07-01). "One-dimensional solidification of supercooled melts". International Journal of Heat and Mass Transfer. 62: 411–421. doi:10.1016/j.ijheatmasstransfer.2013.02.070. hdl:2072/205484. ISSN 0017-9310.
Myers, T. G.; Low, J. (October 2011). "An approximate mathematical model for solidification of a flowing liquid in a microchannel". Microfluidics and Nanofluidics. 11 (4): 417–428. doi:10.1007/s10404-011-0807-4. hdl:2072/169268. ISSN 1613-4982. S2CID 97060677.
Myers, T. G.; Charpin, J. P. F.; Chapman, S. J. (August 2002). "The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface". Physics of Fluids. 14 (8): 2788–2803. Bibcode:2002PhFl...14.2788M. doi:10.1063/1.1488599. hdl:2117/102903. ISSN 1070-6631.
Myers, T. G.; Hennessy, M. G.; Calvo-Schwarzwälder, M. (2020-03-01). "The Stefan problem with variable thermophysical properties and phase change temperature". International Journal of Heat and Mass Transfer. 149: 118975. arXiv:1904.05698. doi:10.1016/j.ijheatmasstransfer.2019.118975. hdl:2072/445741. ISSN 0017-9310. S2CID 115147121.

harvard.edu

ui.adsabs.harvard.edu

(Vuik 1993, p. 157). Vuik, C. (1993), "Some historical notes about the Stefan problem", Nieuw Archief voor Wiskunde, 4e serie, 11 (2): 157–167, Bibcode:1993STIN...9332397V, MR 1239620, Zbl 0801.35002. An interesting historical paper on the early days of the theory; a preprint version (in PDF format) is available here [1].
Alvarenga HD, Van de Putter T, Van Steenberge N, Sietsma J, Terryn H (Apr 2009). "Influence of Carbide Morphology and Microstructure on the Kinetics of Superficial Decarburization of C-Mn Steels". Metallurgical and Materials Transactions A. 46 (1): 123–133. Bibcode:2015MMTA...46..123A. doi:10.1007/s11661-014-2600-y. S2CID 136871961.
Lister, J.R. (1994). "The solidification of buoyancy-driven flow in a flexible-walled channel. Part 1. Constant-volume release". Journal of Fluid Mechanics. 272: 21–44. Bibcode:1994JFM...272...21L. doi:10.1017/S0022112094004362. S2CID 124068245.
Myers, T. G.; Charpin, J. P. F.; Chapman, S. J. (August 2002). "The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface". Physics of Fluids. 14 (8): 2788–2803. Bibcode:2002PhFl...14.2788M. doi:10.1063/1.1488599. hdl:2117/102903. ISSN 1070-6631.

jstor.org

CAFFARELLI, LUIS A. (1978). "Some Aspects of the One-Phase Stefan Problem". Indiana University Mathematics Journal. 27 (1): 73–77. doi:10.1512/iumj.1978.27.27006. ISSN 0022-2518. JSTOR 24891579.

quantamagazine.org

Rorvig, Mordechai (2021-10-06). "Mathematicians Prove Melting Ice Stays Smooth". Quanta Magazine. Retrieved 2021-10-08.

sciencedirect.com

Font, F.; Mitchell, S. L.; Myers, T. G. (2013-07-01). "One-dimensional solidification of supercooled melts". International Journal of Heat and Mass Transfer. 62: 411–421. doi:10.1016/j.ijheatmasstransfer.2013.02.070. hdl:2072/205484. ISSN 0017-9310.
Myers, T. G. (2016-08-01). "Mathematical modelling of phase change at the nanoscale". International Communications in Heat and Mass Transfer. 76: 59–62. doi:10.1016/j.icheatmasstransfer.2016.05.005. ISSN 0735-1933.
Myers, T. G.; Hennessy, M. G.; Calvo-Schwarzwälder, M. (2020-03-01). "The Stefan problem with variable thermophysical properties and phase change temperature". International Journal of Heat and Mass Transfer. 149: 118975. arXiv:1904.05698. doi:10.1016/j.ijheatmasstransfer.2019.118975. hdl:2072/445741. ISSN 0017-9310. S2CID 115147121.

semanticscholar.org

api.semanticscholar.org

Caffarelli, Luis A. (1977). "The regularity of free boundaries in higher dimensions". Acta Mathematica. 139 (none): 155–184. doi:10.1007/BF02392236. ISSN 0001-5962. S2CID 123660704.
Alvarenga HD, Van de Putter T, Van Steenberge N, Sietsma J, Terryn H (Apr 2009). "Influence of Carbide Morphology and Microstructure on the Kinetics of Superficial Decarburization of C-Mn Steels". Metallurgical and Materials Transactions A. 46 (1): 123–133. Bibcode:2015MMTA...46..123A. doi:10.1007/s11661-014-2600-y. S2CID 136871961.
Font, F.; Myers, T. G.; Mitchell, S. L. (February 2015). "A mathematical model for nanoparticle melting with density change". Microfluidics and Nanofluidics. 18 (2): 233–243. doi:10.1007/s10404-014-1423-x. ISSN 1613-4982. S2CID 54087370.
Lister, J.R. (1994). "The solidification of buoyancy-driven flow in a flexible-walled channel. Part 1. Constant-volume release". Journal of Fluid Mechanics. 272: 21–44. Bibcode:1994JFM...272...21L. doi:10.1017/S0022112094004362. S2CID 124068245.
Myers, T. G.; Low, J. (October 2011). "An approximate mathematical model for solidification of a flowing liquid in a microchannel". Microfluidics and Nanofluidics. 11 (4): 417–428. doi:10.1007/s10404-011-0807-4. hdl:2072/169268. ISSN 1613-4982. S2CID 97060677.
Myers, T. G.; Hennessy, M. G.; Calvo-Schwarzwälder, M. (2020-03-01). "The Stefan problem with variable thermophysical properties and phase change temperature". International Journal of Heat and Mass Transfer. 149: 118975. arXiv:1904.05698. doi:10.1016/j.ijheatmasstransfer.2019.118975. hdl:2072/445741. ISSN 0017-9310. S2CID 115147121.

tudelft.nl

ta.twi.tudelft.nl

(Vuik 1993, p. 157). Vuik, C. (1993), "Some historical notes about the Stefan problem", Nieuw Archief voor Wiskunde, 4e serie, 11 (2): 157–167, Bibcode:1993STIN...9332397V, MR 1239620, Zbl 0801.35002. An interesting historical paper on the early days of the theory; a preprint version (in PDF format) is available here [1].

uab.cat

ddd.uab.cat

Myers, T. G.; Low, J. (October 2011). "An approximate mathematical model for solidification of a flowing liquid in a microchannel". Microfluidics and Nanofluidics. 11 (4): 417–428. doi:10.1007/s10404-011-0807-4. hdl:2072/169268. ISSN 1613-4982. S2CID 97060677.

worldcat.org

search.worldcat.org

Applied partial differential equations. Ockendon, J. R. (Rev. ed.). Oxford: Oxford University Press. 2003. ISBN 0-19-852770-5. OCLC 52486357.{{cite book}}: CS1 maint: others (link)
RUBINSTEIN, L. I. (2016). STEFAN PROBLEM. [Place of publication not identified]: American Mathematical Society. ISBN 978-1-4704-2850-1. OCLC 973324855.
Caffarelli, Luis A. (1977). "The regularity of free boundaries in higher dimensions". Acta Mathematica. 139 (none): 155–184. doi:10.1007/BF02392236. ISSN 0001-5962. S2CID 123660704.
CAFFARELLI, LUIS A. (1978). "Some Aspects of the One-Phase Stefan Problem". Indiana University Mathematics Journal. 27 (1): 73–77. doi:10.1512/iumj.1978.27.27006. ISSN 0022-2518. JSTOR 24891579.
Davis, Stephen H., 1939-. Theory of solidification. Cambridge. ISBN 978-0-511-01924-1. OCLC 232161077.{{cite book}}: CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link)
Fowler, A. C. (Andrew Cadle), 1953- (1997). Mathematical models in the applied sciences. Cambridge: Cambridge University Press. ISBN 0-521-46140-5. OCLC 36621805.{{cite book}}: CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link)
Font, F.; Mitchell, S. L.; Myers, T. G. (2013-07-01). "One-dimensional solidification of supercooled melts". International Journal of Heat and Mass Transfer. 62: 411–421. doi:10.1016/j.ijheatmasstransfer.2013.02.070. hdl:2072/205484. ISSN 0017-9310.
Myers, T. G. (2016-08-01). "Mathematical modelling of phase change at the nanoscale". International Communications in Heat and Mass Transfer. 76: 59–62. doi:10.1016/j.icheatmasstransfer.2016.05.005. ISSN 0735-1933.
Font, F.; Myers, T. G.; Mitchell, S. L. (February 2015). "A mathematical model for nanoparticle melting with density change". Microfluidics and Nanofluidics. 18 (2): 233–243. doi:10.1007/s10404-014-1423-x. ISSN 1613-4982. S2CID 54087370.
Myers, T. G.; Low, J. (October 2011). "An approximate mathematical model for solidification of a flowing liquid in a microchannel". Microfluidics and Nanofluidics. 11 (4): 417–428. doi:10.1007/s10404-011-0807-4. hdl:2072/169268. ISSN 1613-4982. S2CID 97060677.
Myers, T. G.; Charpin, J. P. F.; Chapman, S. J. (August 2002). "The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface". Physics of Fluids. 14 (8): 2788–2803. Bibcode:2002PhFl...14.2788M. doi:10.1063/1.1488599. hdl:2117/102903. ISSN 1070-6631.
Myers, T. G.; Hennessy, M. G.; Calvo-Schwarzwälder, M. (2020-03-01). "The Stefan problem with variable thermophysical properties and phase change temperature". International Journal of Heat and Mass Transfer. 149: 118975. arXiv:1904.05698. doi:10.1016/j.ijheatmasstransfer.2019.118975. hdl:2072/445741. ISSN 0017-9310. S2CID 115147121.

zbmath.org

(Vuik 1993, p. 157). Vuik, C. (1993), "Some historical notes about the Stefan problem", Nieuw Archief voor Wiskunde, 4e serie, 11 (2): 157–167, Bibcode:1993STIN...9332397V, MR 1239620, Zbl 0801.35002. An interesting historical paper on the early days of the theory; a preprint version (in PDF format) is available here [1].
(Kirsch 1996). Kirsch, Andreas (1996), Introduction to the Mathematical Theory of Inverse Problems, Applied Mathematical Sciences series, vol. 120, Berlin–Heidelberg–New York: Springer Verlag, pp. x+282, ISBN 0-387-94530-X, MR 1479408, Zbl 0865.35004