Analysis of a two phase flow model of biofilm spread

DOI10.1016/j.na.2024.113538zbMath1541.35367MaRDI QIDQ6536707

Ana Carpio, Gema Duro

Publication date: 13 May 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

two-phase flowelliptic systemscompressible Stokes equationsmixture modelsstationary transport equationsthin film approximations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Multiphase and multicomponent flows (76T99) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Reaction effects in flows (76V05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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