Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844473 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 23 Pages |
Abstract
We investigate a reaction–diffusion system for a parabolic equation coupled with an ordinary differential equation on an unbounded space domain. This system arises as a model for host tissue degradation by bacteria and involves a parameter describing the degradation rate that is typically very large. We prove the existence and uniqueness of solutions to this system and the convergence to a Stefan-like free boundary problem as the degradation rate tends to infinity.
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Authors
D. Hilhorst, J.R. King, M. Röger,