Articles

SOLVABILITY OF A NONLINEAR PROBLEM ARISING IN REACTIONS OVER INHOMOGENEOUS SURFACES

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

Received date: 2017-10-20

  Revised date: 2018-12-28

  Online published: 2019-11-11

Supported by

This work was supported by the Research Council of Lithuania (project No. S-MIP-17-65).

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.

Cite this article

Vladas SKAKAUSKAS . SOLVABILITY OF A NONLINEAR PROBLEM ARISING IN REACTIONS OVER INHOMOGENEOUS SURFACES[J]. Acta mathematica scientia, Series B, 2019 , 39(5) : 1380 -1396 . DOI: 10.1007/s10473-019-0515-9

References

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