Application of variational inequalities to the moving-boundary problem in a fluid model for biofilm growth

DOI10.1016/j.na.2008.07.021zbMath1160.35550OpenAlexW2033745027MaRDI QIDQ1012078

Niels Chr. Overgaard

Publication date: 14 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2043/2866

zbMATH Keywords

variational inequalitybiofilm modelmoving-boundary problem

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Free boundary problems for PDEs (35R35) General biology and biomathematics (92B05)

Related Items (2)

A fluid dynamics model of the growth of phototrophic biofilms ⋮ Qualitative analysis and simulations of a free boundary problem for multispecies biofilm models

Cites Work

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• Finger Formation in Biofilm Layers
• Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
• A simple proof of the regularity theorem for the variational inequality of the obstacle problem
• The Ill-Posed Hele-Shaw Model and The Stefan Problem for Supercooled Water
• A variational inequality approach to Hele-Shaw flow with a moving boundary
• Direct and inverse balayage — Some new developments in classical potential theory
• Mushy Regions in Negative Squeeze Films
• An Introduction to Variational Inequalities and Their Applications

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