We investigate a reaction-diffusion system comprising 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.

Name | CASA-report |
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Volume | 0521 |
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ISSN (Print) | 0926-4507 |
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