ANALYSIS OF PARABOLIC PROBLEMS ON PARTITIONED DOMAINS WITH NONLINEAR CONDITIONS AT THE INTERFACE: APPLICATION TO MASS TRANSFER THROUGH SEMI-PERMEABLE MEMBRANES

DOI10.1142/S0218202506001236zbMath1101.35044OpenAlexW1998765157MaRDI QIDQ5484740

Paolo Zunino, Francesco Calabrò

Publication date: 21 August 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202506001236

zbMATH Keywords

existenceuniquenessnonlinear boundary conditionstrong maximum principleSchauder fixed point theorem

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear ordinary differential equations and systems (34A34) Biochemistry, molecular biology (92C40)

Related Items (8)

Discontinuous Galerkin methods for fast reactive mass transfer through semi-permeable membranes ⋮ Adaptive discontinuous Galerkin methods for elliptic interface problems ⋮ Numerical treatment of elliptic problems nonlinearly coupled through the interface ⋮ A spatial model of cellular molecular trafficking including active transport along microtubules ⋮ Existence of a global weak solution for a reaction-diffusion problem with membrane conditions ⋮ Vanishing viscosity approximation for linear transport equations on finite star-shaped networks ⋮ Analysis of differential equations modelling the reactive flow through a deformable system of cells ⋮ Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems

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• The Role of Critical Exponents in Blowup Theorems
• Regularity properties for the heat equation subject to nonlinear boundary constraints
• Differential inequalities and maximum principles: theory, new methods and applications
• A strong maximum principle for parabolic equations

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