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Existence and properties of solutions for chemotaxis fluid models

Grant number: 19/02733-1
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): May 01, 2019
Effective date (End): February 28, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Lucas Catão de Freitas Ferreira
Grantee:Daniel Pires Araujo Lima
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

In this project we consider fluid models with biological interactions of chemotaxis type. We analyse issues such as existence, uniqueness, formation of singularities, solutions without regularity of Sobolev type, self-similarity, stability and asymptotic behavior. The basic strategy is to study the models in different functional spaces with low regularity that allow solutions with the desired properties. (AU)

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