Abstract
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.
Similar content being viewed by others
References
Galdikas A., Pranevičius L., Ion Beam Surface Processing: Composition and Morphology, Technologija, Kaunas, 1998
Galdikas A., Pranevičius L., Interaction of Ions with Condensed Matter, NOVA Science Publishers, Inc, Huntington, New York, USA, 2000
Fadeev D.K., Vulix B.Z., Ural’ceva N.N., Selected chapters of analysis and algebra, LGU, 1981 (in Russian)
Friedman A., Partial differential equations of parabolic type, Prentice-Hall, Englewood Clifs, New York, 1964
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
Langmuir I., The adsorption of gases on plane surfaces of glass, mica and platinum, J. Am. Chem. Soc., 1918, 40(9), 1361–1403
Pao C.V., Nonlinear parabolic and elliptic equations, Plenum Press, New York and London, 1992
Skakauskas V., Deterministic models, preprint available at http://www.mif.vu.lt/katedros/dlsm/darbuotojai/vlask/Detmod.pdf (in Lithuanian)
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Ambrazevičius, A. Solvability of a coupled system of parabolic and ordinary differential equations. centr.eur.j.math. 8, 537–547 (2010). https://doi.org/10.2478/s11533-010-0028-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.2478/s11533-010-0028-1