SOLVABILITY OF A NONLINEAR PROBLEM ARISING IN REACTIONS OVER INHOMOGENEOUS SURFACES

doi:10.1007/s10473-019-0515-9

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (5): 1380-1396.doi: 10.1007/s10473-019-0515-9

SOLVABILITY OF A NONLINEAR PROBLEM ARISING IN REACTIONS OVER INHOMOGENEOUS SURFACES

Vladas SKAKAUSKAS

Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 03225 Vilnius, Lithuania

收稿日期:2017-10-20 修回日期:2018-12-28 出版日期:2019-10-25 发布日期:2019-11-11
作者简介:Vladas SKAKAUSKAS,E-mail:vladas.skakauskas@mif.vu.lt
基金资助:
This work was supported by the Research Council of Lithuania (project No. S-MIP-17-65).

SOLVABILITY OF A NONLINEAR PROBLEM ARISING IN REACTIONS OVER INHOMOGENEOUS SURFACES

Vladas SKAKAUSKAS

Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 03225 Vilnius, Lithuania

Received:2017-10-20 Revised:2018-12-28 Online:2019-10-25 Published:2019-11-11
Supported by:
This work was supported by the Research Council of Lithuania (project No. S-MIP-17-65).

摘要/Abstract

摘要： The existence and uniqueness theorem of classical solutions of a coupled system of nonlinear parabolic PDEs arising in modelling of chemical reactions between two polymeric reactants over inhomogeneous surfaces with nonclassical boundary conditions is proved and the long-time behaviour of the solution is studied.

关键词: coupled parabolic systems, positive solutions of differential equations, surface reactions, spillover

Abstract: The existence and uniqueness theorem of classical solutions of a coupled system of nonlinear parabolic PDEs arising in modelling of chemical reactions between two polymeric reactants over inhomogeneous surfaces with nonclassical boundary conditions is proved and the long-time behaviour of the solution is studied.

Key words: coupled parabolic systems, positive solutions of differential equations, surface reactions, spillover

中图分类号:

35B30

Vladas SKAKAUSKAS. SOLVABILITY OF A NONLINEAR PROBLEM ARISING IN REACTIONS OVER INHOMOGENEOUS SURFACES[J]. 数学物理学报(英文版), 2019, 39(5): 1380-1396.

Vladas SKAKAUSKAS. SOLVABILITY OF A NONLINEAR PROBLEM ARISING IN REACTIONS OVER INHOMOGENEOUS SURFACES[J]. Acta mathematica scientia,Series B, 2019, 39(5): 1380-1396.

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SOLVABILITY OF A NONLINEAR PROBLEM ARISING IN REACTIONS OVER INHOMOGENEOUS SURFACES

SOLVABILITY OF A NONLINEAR PROBLEM ARISING IN REACTIONS OVER INHOMOGENEOUS SURFACES

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