Solvability of a nonlinear parabolic problem arising in modeling surface reactions

DOI10.1007/S10986-023-09609-9OpenAlexW4389097673MaRDI QIDQ6185039

Algirdas Ambrazevičius, Vladas Skakauskas

Publication date: 29 January 2024

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-023-09609-9

zbMATH Keywords

positive solutionscoupled parabolic systemreactions on surfaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Classical flows, reactions, etc. in chemistry (92E20) Positive solutions to PDEs (35B09) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global strong solutions for a class of heterogeneous catalysis models
• Solvability of a model for monomer-monomer surface reactions
• Asymptotic behavior of solutions to chemical reaction-diffusion systems
• Solvability theorem for a model of a unimolecular heterogeneous reaction with adsorbate diffusion
• Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions
• Global solutions for quasilinear parabolic systems.
• Existence and uniqueness of classical solutions to a nonlinear reaction-diffusion model
• Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition
• Uniform bounds for solutions to volume-surface reaction diffusion systems.
• Dynamics of degenerate quasilinear reaction diffusion systems with nonnegative initial functions
• Quasilinear parabolic and elliptic systems with mixed quasimonotone functions
• Continuity of solutions of a singular parabolic equation
• ASYMPTOTIC BEHAVIOR IN CHEMICAL REACTION-DIFFUSION SYSTEMS WITH BOUNDARY EQUILIBRIA
• Martin’s Problem for Volume-Surface Reaction-Diffusion Systems

This page was built for publication: Solvability of a nonlinear parabolic problem arising in modeling surface reactions