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

Roberto Gianni; Anna G. Petrova

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

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topGianni, 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

top- 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
- FASANO, A. - FUSI, L. - CORRERA, S., Mathematical models for waxy crude oils. Meccanica, 39, 2004, 441-482. Zbl1078.76006
- PETROVA, A.G., Local in time solvability for thermodiffusion Stefan problem. Dinamika sploshnoi sredi, 64, Novosibirsk1984 (in Russian).
- 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
- 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
- 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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