Existence and Uniqueness Results for a Kinetic Model in Bulk-Surface Surfactant Dynamics

DOI10.1137/15M1012785zbMath1355.35096MaRDI QIDQ2821652

Cristina Núñez, Piotr Kalita, José R. Fernández, M. C. Muñiz, Stanislaw Migórski

Publication date: 22 September 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

truncation methodSchauder fixed point theoremparabolic systemsurfactantLangmuir isothermmultikinetic adsorption model

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs on manifolds (35R01)

Related Items (5)

Global existence, uniqueness and stability for nonlinear dissipative bulk-interface interaction systems ⋮ A frictional contact problem with wear diffusion ⋮ Identification of discontinuous parameters in contaminant convection-reaction-diffusion model of recovered fracturing fluid ⋮ Numerical analysis of a dynamic problem involving bulk-surface surfactants ⋮ Global existence and uniqueness for a volume-surface reaction-nonlinear-diffusion system

Cites Work

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• Diffusion on a curved surface coupled to diffusion in the volume: application to cell biology
• Introduction to Smooth Manifolds
• Stability of Equilibria for Two-Phase Flows with Soluble Surfactant
• Quasi-Static Hemivariational Inequality via Vanishing Acceleration Approach
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