Solvability theorem for a mathematical bimolecular reaction model

DOI10.1007/S10440-014-9980-2zbMath1336.35336OpenAlexW2013241510MaRDI QIDQ904278

Algirdas Ambrazevičius

Publication date: 13 January 2016

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-014-9980-2

zbMATH Keywords

ordinary differential equationsparabolic equationssurface reactions

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Classical solutions to PDEs (35A09)

Related Items (1)

Existence and uniqueness theorem for a model of bimolecular surface reactions

Cites Work

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• Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions
• Bistable kinetics of simple reactions on solid surfaces: Lateral interactions, chemical waves, and the equistability criterion
• Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition
• Solvability of a finite system of parabolic and ordinary differential equations
• The reaction-diffusion problem with dynamical boundary condition

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