Boundedness in a Biofilm-Chemotaxis Model in Evolving Porous Media. Issue 6 (2nd November 2017)

• Record Type: Journal Article
• Authors: Schulz, Raphael
• Is Part Of: Mathematical modelling and analysis. Volume 22:Issue 6(2017)
• Page Start: 852
• Page End: 869
• Publication Date: 2017-11-02
• Subjects: evolving porous media -- biological fluid mechanics -- chemotaxis -- boundedness -- parabolic PDE; 76S05 -- 74F10 -- 76Zxx -- 35K55 -- 35Q92 -- 92C17; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2017.1389772
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: The article concerns with a model discribing the growth of a biofilm made by chemotactical bacteria within a saturated porous media and affects the flow through the pores. The underlying model describing this process on the macroscale is derived in [21]. Therein also solvability in a weak sense and boundedness of solutions with high regularity is investigated. This current paper verifies the existence of bounded weak solutions in case of less regularity assumptions on the data.