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Identifier	000411443
Title	Analysis of a model describing tissue degradation by bacteria
Alternative Title	Ανάλυση και ύπαρξη οδεύοντος κύματος, ενός μοντέλου περιγραφής αποδόμησης ιστού από βακτήρια
Author	Σιάββας, Νικόλαος
Thesis advisor	Κάραλη, Γεωργία
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. Our aim is to 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. We also study travelling-wave solutions for this system and prove the existence of travelling waves for all sufficiently large wave-speeds for the original reaction-diffusion system and determine the minimal speed.
Language	English
Subject	Travelling wave equation
Issue date	2017-07-21
Collection	School/Department--School of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Post-graduate theses
	Type of Work--Post-graduate theses
Permanent Link	https://elocus.lib.uoc.gr//dlib/d/6/8/metadata-dlib-1504779153-158304-16294.tkl
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