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

Algirdas Ambrazevičius; Alicija Eismontaitė

Open Mathematics (2013)

  • Volume: 11, Issue: 6, page 1129-1139
  • ISSN: 2391-5455

Abstract

top
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.

How to cite

top

Algirdas Ambrazevičius, and Alicija Eismontaitė. "Solvability of a mathematical model of dissociative adsorption and associative desorption type." Open Mathematics 11.6 (2013): 1129-1139. <http://eudml.org/doc/269657>.

@article{AlgirdasAmbrazevičius2013,
abstract = {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.},
author = {Algirdas Ambrazevičius, Alicija Eismontaitė},
journal = {Open Mathematics},
keywords = {Parabolic equations; Ordinary differential equations; Surface reactions; mixed boundary conditions; PDE-ODE system; coupling via boundary conditions},
language = {eng},
number = {6},
pages = {1129-1139},
title = {Solvability of a mathematical model of dissociative adsorption and associative desorption type},
url = {http://eudml.org/doc/269657},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Algirdas Ambrazevičius
AU - Alicija Eismontaitė
TI - Solvability of a mathematical model of dissociative adsorption and associative desorption type
JO - Open Mathematics
PY - 2013
VL - 11
IS - 6
SP - 1129
EP - 1139
AB - 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.
LA - eng
KW - Parabolic equations; Ordinary differential equations; Surface reactions; mixed boundary conditions; PDE-ODE system; coupling via boundary conditions
UR - http://eudml.org/doc/269657
ER -

References

top
  1. [1] Ambrazevičius A., Solvability of a coupled system of parabolic and ordinary differential equations, Cent. Eur. J. Math., 2010, 8(3), 537–547 http://dx.doi.org/10.2478/s11533-010-0028-1[Crossref] Zbl1201.35107
  2. [2] Ambrazevičius A., Existence and uniqueness theorem to a unimolecular heterogeneous catalytic reaction model, Nonlinear Anal. Model. Control, 2010, 15(4), 405–421 Zbl06599352
  3. [3] Friedman A., Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, 1964 Zbl0144.34903
  4. [4] Kankare J., Vinokurov I.A., Kinetics of Langmuirian adsorption onto planar, spherical, and cylindrical surfaces, Langmuir, 1999, 15(17), 5591–5599 http://dx.doi.org/10.1021/la981642r[Crossref] 
  5. [5] Ladyženskaja O.A., Solonnikov V.A., Ural’ceva N.N., Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monogr., 23, American Mathematical Society, Providence, 1968 
  6. [6] Langmuir I., The adsorption of gases on plane surfaces of glass, mica and platinum, Journal of the American Chemical Society, 1918, 40(9), 1361–1403 http://dx.doi.org/10.1021/ja02242a004[Crossref] 
  7. [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. [8] Pao C.V., Nonlinear Parabolic and Elliptic Equations, Plenum Press, New York, 1992 
  9. [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 Zbl1227.35024
  10. [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] Zbl1238.92079

NotesEmbed ?

top

You must be logged in to post comments.

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

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.