Solvability theorem for a model of a unimolecular heterogeneous reaction with adsorbate diffusion
- 94 Downloads
A mathematical model of a unimolecular heterogeneous catalytic reaction is considered in the case where the adsorbate can diffuse along the surface of a catalyst and the desorption of the reaction product from the surface of the adsorbent is instantaneous. The model is described by a coupled parabolic system. The existence and uniqueness of a classical solution are established. Bibliography: 16 titles.
KeywordsClassical Solution Fundamental Solution Volterra Integral Equation Turing Pattern Negative Minimum
Unable to display preview. Download preview PDF.
- 3.A. Ambrazevičius, “Existence and uniqueness theorem to a unimolecular heterogeneous catalytic reaction model,” Nonlinear Anal., Model. Control 15, No. 4, 405-421 (2010).Google Scholar
- 6.V. Skakauskas and P. Katauskis, “Numerical study of the kinetics of unimolecular heterogeneous reactions onto planar surfaces,” J. Math. Chem. [In press]Google Scholar
- 8.V. Skakauskas, P. Katauskis, and A. Skvortsov, “A reaction-diffusion model of the receptortoxin-antibody interaction,” Theor. Biol. Med. Model. [in press]Google Scholar
- 9.V. Skakauskas and P Katauskis, “On the kinetics of the Langmuior-type heterogeneous reactions,” Nonlinear Anal., Model. Control [Submitted]Google Scholar
- 12.S. G. Mikhlin, Linear Partial Differential Equations [In Russian], Vyssh. Shkol., Moscow (1977).Google Scholar
- 13.D. K. Faddeev, B. Z. Vulikh, and N. N. Uraltseva, Selected Chapters of Analysis and Higher Algebra, [in Russian], Leningr. Univ. Press, Leningr. (1981).Google Scholar
- 14.A. Friedman, Partial Differential Equations of Parabolic Type Prentice-Hall, Englewood Cliffs, N.J. (1964).Google Scholar
- 15.O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Uraltseva, Linear and Quasilinear Equation of Parabolic Type, Am. Math. Soc., Providence, RI (1968).Google Scholar