Article ID Journal Published Year Pages File Type
843523 Nonlinear Analysis: Theory, Methods & Applications 2009 7 Pages PDF
Abstract

We consider a moving-boundary problem associated with the fluid model for biofilm growth proposed by J. Dockery and I. Klapper, Finger formation in biofilm layers, SIAM J. Appl. Math. 62 (3) (2001) 853–869. Notions of classical, weak, and variational solutions for this problem are introduced. Classical solutions with radial symmetry are constructed, and estimates for their growth given. Using a weighted Baiocchi transform, the problem is reformulated as a family of variational inequalities, allowing us to show that, for any initial biofilm configuration at time t=0t=0 (any bounded open set), there exists a unique weak solution defined for all t≥0t≥0.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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