# Solvability of a coupled system of parabolic and ordinary differential equations

Open Mathematics (2010)

- Volume: 8, Issue: 3, page 537-547
- ISSN: 2391-5455

## Access Full Article

top## Abstract

top## How to cite

topAlgirdas Ambrazevičius. "Solvability of a coupled system of parabolic and ordinary differential equations." Open Mathematics 8.3 (2010): 537-547. <http://eudml.org/doc/269441>.

@article{AlgirdasAmbrazevičius2010,

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.},

author = {Algirdas Ambrazevičius},

journal = {Open Mathematics},

keywords = {Parabolic equations; Ordinary differential equations; Surface reactions model; parabolic equations; ordinary differential equations; surface reactions model},

language = {eng},

number = {3},

pages = {537-547},

title = {Solvability of a coupled system of parabolic and ordinary differential equations},

url = {http://eudml.org/doc/269441},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Algirdas Ambrazevičius

TI - Solvability of a coupled system of parabolic and ordinary differential equations

JO - Open Mathematics

PY - 2010

VL - 8

IS - 3

SP - 537

EP - 547

AB - 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.

LA - eng

KW - Parabolic equations; Ordinary differential equations; Surface reactions model; parabolic equations; ordinary differential equations; surface reactions model

UR - http://eudml.org/doc/269441

ER -

## References

top- [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 Zbl0144.34903
- [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)

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.