Solvability of a coupled system of parabolic and ordinary differential equations

• Autorzy: Algirdas Ambrazevičius
• Języki publikacji: EN

Abstrakty

EN

A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.

Słowa kluczowe

EN

Parabolic equations; Ordinary differential equations; Surface reactions model

Kategorie tematyczne

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

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 3
• Strony: 537-547

Daty

wydano

2010-06-01

online

2010-05-30

Twórcy

autor

Algirdas Ambrazevičius

• Vilnius University

Bibliografia

• [1] Galdikas A., Pranevičius L., Ion Beam Surface Processing: Composition and Morphology, Technologija, Kaunas, 1998
• [2] Galdikas A., Pranevičius L., Interaction of Ions with Condensed Matter, NOVA Science Publishers, Inc, Huntington, New York, USA, 2000
• [3] Fadeev D.K., Vulix B.Z., Ural’ceva N.N., Selected chapters of analysis and algebra, LGU, 1981 (in Russian)
• [4] Friedman A., Partial differential equations of parabolic type, Prentice-Hall, Englewood Clifs, New York, 1964
• [5] Ladyzhenskaja O.A., Solonnikov V.A., Uralc’eva N.N., Linear and quasilinear equation of parabolic type, Translations of Mathematical Monographs, Vol. 23, Am. Math. Soc., Providence, Rhode Island, 1967
• [6] Langmuir I., The adsorption of gases on plane surfaces of glass, mica and platinum, J. Am. Chem. Soc., 1918, 40(9), 1361–1403 http://dx.doi.org/10.1021/ja02242a004
• [7] Pao C.V., Nonlinear parabolic and elliptic equations, Plenum Press, New York and London, 1992
• [8] Skakauskas V., Deterministic models, preprint available at http://www.mif.vu.lt/katedros/dlsm/darbuotojai/vlask/Detmod.pdf (in Lithuanian)

Identyfikatory

DOI

10.2478/s11533-010-0028-1