Analysis of a moving boundary value problem arising in biofilm modelling
Barbara Szomolay
Source abstract
Abstract We consider a moving boundary value problem associated with a 1‐D biofilm model proposed by Szomolay et al. ( Environ. Microbiol. 2005; 8 :1186–1191). The new model includes growth and detachment which make it more realistic in a biofilm setting. Global existence and properties of solutions are shown using the method of characteristics. We also study the existence of the corresponding steady‐state solutions and prove their uniqueness for small doses of biocide. In addition, sufficient conditions for the existence of trivial/nontrivial steady states are established. Copyright © 2008 John Wiley & Sons, Ltd.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.