Solvability of a coupled quasilinear reaction–diffusion system

DOI10.1080/00036811.2019.1620933zbMath1460.35193OpenAlexW2947304823MaRDI QIDQ5856180

Algirdas Ambrazevičius, Vladas Skakauskas

Publication date: 24 March 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1620933

zbMATH Keywords

surface reactions between two reactants

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Positive solutions to PDEs (35B09) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solvability of a model for monomer-monomer surface reactions
• Solvability theorem for a model of a unimolecular heterogeneous reaction with adsorbate diffusion
• Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions
• Global existence for nonlinear diffusion equations
• Spillover in monomer-monomer reactions on supported catalysts: dynamic mean-field study
• Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition
• Modelling dimer-dimer reactions on supported catalysts
• Quasilinear parabolic and elliptic systems with mixed quasimonotone functions
• Existence and asymptotic behaviour for the parabolic–parabolic Keller–Segel system with singular data
• Continuity of solutions of a singular parabolic equation