Solvability of a mathematical model of dissociative adsorption and associative desorption type

• Autorzy: Algirdas Ambrazevičius , Alicija Eismontaitė
• Języki publikacji: EN

Abstrakty

EN

A mathematical model of dissociative adsorption and associative desorption for diatomic molecules is generalized. The model is described by a coupled system of parabolic and ordinary differential equations. The existence and uniqueness theorem of the classical solution is proved.

Słowa kluczowe

EN

Parabolic equations; Ordinary differential equations; Surface reactions

Kategorie tematyczne

• 35K20: Initial-boundary value problems for second-order parabolic equations
• 35B09: Positive solutions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 6
• Strony: 1129-1139

Daty

wydano

2013-06-01

online

2013-03-28

Twórcy

autor

Algirdas Ambrazevičius

• Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str. 24, Vilnius, 03225, Lithuania

autor

Alicija Eismontaitė

• Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str. 24, Vilnius, 03225, Lithuania

Bibliografia

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• [7] Lieberman M.A., The Langmuir isotherm and the standard model of ion-assisted etching, Plasma Sources Science and Technology, 2009, 18(1), #014002 http://dx.doi.org/10.1088/0963-0252/18/1/014002[Crossref]
• [8] Pao C.V., Nonlinear Parabolic and Elliptic Equations, Plenum Press, New York, 1992
• [9] Skakauskas V., Katauskis P., Numerical solving of coupled systems of parabolic and ordinary differential equations, Nonlinear Anal. Model. Control, 2010, 15(3), 351–360
• [10] Skakauskas V., Katauskis P., Numerical study of the kinetics of unimolecular heterogeneous reactions onto planar surfaces, J. Math. Chem., 2012, 50(1), 141–154 http://dx.doi.org/10.1007/s10910-011-9901-9[Crossref][WoS]

Identyfikatory

DOI

10.2478/s11533-013-0223-y