One-dimensional problem for heat and mass transport in oil-wax solution

Roberto Gianni; Anna G. Petrova

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2005)

  • Volume: 16, Issue: 3, page 181-196
  • ISSN: 1120-6330

Abstract

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A mathematical model of heat and mass transport in non-isothermal partially saturated oil-wax solution was formulated by A. Fasano and M. Primicerio [1]. This paper is devoted to the study of a one-dimensional problem in the framework of that model. The existence of classical solutions in a small time interval is proved, based on the application of a fixed-point theorem to the constructed operator. The technique employed is close to the one of [3] and [4].

How to cite

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Gianni, Roberto, and Petrova, Anna G.. "One-dimensional problem for heat and mass transport in oil-wax solution." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 16.3 (2005): 181-196. <http://eudml.org/doc/252335>.

@article{Gianni2005,
abstract = {A mathematical model of heat and mass transport in non-isothermal partially saturated oil-wax solution was formulated by A. Fasano and M. Primicerio [1]. This paper is devoted to the study of a one-dimensional problem in the framework of that model. The existence of classical solutions in a small time interval is proved, based on the application of a fixed-point theorem to the constructed operator. The technique employed is close to the one of [3] and [4].},
author = {Gianni, Roberto, Petrova, Anna G.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Free boundary problems; Parabolic equations; Oil-wax solution; Wax segregation; free boundary problems; parabolic equations; oil-wax solution; wax segregation},
language = {eng},
month = {9},
number = {3},
pages = {181-196},
publisher = {Accademia Nazionale dei Lincei},
title = {One-dimensional problem for heat and mass transport in oil-wax solution},
url = {http://eudml.org/doc/252335},
volume = {16},
year = {2005},
}

TY - JOUR
AU - Gianni, Roberto
AU - Petrova, Anna G.
TI - One-dimensional problem for heat and mass transport in oil-wax solution
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2005/9//
PB - Accademia Nazionale dei Lincei
VL - 16
IS - 3
SP - 181
EP - 196
AB - A mathematical model of heat and mass transport in non-isothermal partially saturated oil-wax solution was formulated by A. Fasano and M. Primicerio [1]. This paper is devoted to the study of a one-dimensional problem in the framework of that model. The existence of classical solutions in a small time interval is proved, based on the application of a fixed-point theorem to the constructed operator. The technique employed is close to the one of [3] and [4].
LA - eng
KW - Free boundary problems; Parabolic equations; Oil-wax solution; Wax segregation; free boundary problems; parabolic equations; oil-wax solution; wax segregation
UR - http://eudml.org/doc/252335
ER -

References

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  1. FASANO, A. - PRIMICERIO, M., Heat and mass transport in non-isothermal partially saturated oil-wax solution. In: P. FERGOLA - F. CAPONE - M. GENTILE - G. GUERRIERO (eds.), New Trends In Mathematical Physics: In honour of the Salvatore Rionero 70th Birthday. Proceedings of the International meeting (Naples, Italy, 24-25 January 2003), 34, (11). Zbl1088.76068MR2163965
  2. FASANO, A. - FUSI, L. - CORRERA, S., Mathematical models for waxy crude oils. Meccanica, 39, 2004, 441-482. Zbl1078.76006
  3. PETROVA, A.G., Local in time solvability for thermodiffusion Stefan problem. Dinamika sploshnoi sredi, 64, Novosibirsk1984 (in Russian). 
  4. FASANO, A. - PRIMICERIO, M., Classical solution of general two-phase parabolic free boundary problem in one dimension. In: Free boundary problems: theory and applications (Montecatini, 1981), Vol. II. Res. Nothes Math. n. 79, Pitman, London1983, 644-657. Zbl0511.35088MR714939
  5. LADYZENSKAYA, O.A. - SOLONNIKOV, V.A. - URALCEVA, N.N., Linear and quasilinear equations of parabolic type. Translations Am. Math. Soc., vol. 23, Providence, RI, 1968. Zbl0174.15403MR241822
  6. LOPATINSKI, J.B., On a method for reducing boundary problems for systems of differential equations of elliptic type to regular integral equations. Ukrain. Z., 5, 1953, 123-151 (in Russian) MR 17, 494. Zbl0206.40402MR73828

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