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Analysis of Reaction-Diffusion Models with the Taxis Mechanism

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  • Open Access
  • © 2022

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Authors:
  1. Yuanyuan Ke

    1. School of Mathematics, Renmin University of China, Beijing, China

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  2. Jing Li

    1. College of Science, Minzu University of China, Beijing, China

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  3. Yifu Wang

    1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China

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  • This book is open access, which means that you have free and unlimited access
  • Shows how the functional inequality is used to establish the necessary a priori estimates
  • Provides readers in a somewhat systematic way with the recent progress on qualitative properties
  • Deals with a rich variety of taxis-type cross-diffusive equations

Part of the book series: Financial Mathematics and Fintech (FMF)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-ix
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  2. Chemotaxis–Fluid System

    • Yuanyuan Ke, Jing Li, Yifu Wang
    Pages 1-76Open Access
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  3. Keller–Segel–Navier–Stokes System Involving Tensor-Valued Sensitivity

    • Yuanyuan Ke, Jing Li, Yifu Wang
    Pages 77-126Open Access
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  4. Chemotaxis–Haptotaxis System

    • Yuanyuan Ke, Jing Li, Yifu Wang
    Pages 127-187Open Access
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  5. Keller–Segel–(Navier–)Stokes System Modeling Coral Fertilization

    • Yuanyuan Ke, Jing Li, Yifu Wang
    Pages 189-274Open Access
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  6. Density-Suppressed Motility System

    • Yuanyuan Ke, Jing Li, Yifu Wang
    Pages 275-339Open Access
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  7. Multi-taxis Cross-Diffusion System

    • Yuanyuan Ke, Jing Li, Yifu Wang
    Pages 341-395Open Access
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  8. Back Matter

    Pages 397-411
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Keywords

About this book

This open access book deals with a rich variety of taxis-type cross-diffusive equations. Particularly, it intends to show the key role played by quasi-energy inequality in the derivation of some necessary a  priori estimates. This book addresses applied mathematics and all researchers interested in mathematical development of reaction-diffusion theory and its application and can be a basis for a graduate course in applied mathematics.

Authors and Affiliations

  • School of Mathematics, Renmin University of China, Beijing, China

    Yuanyuan Ke

  • College of Science, Minzu University of China, Beijing, China

    Jing Li

  • School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China

    Yifu Wang

About the authors

Yuanyuan Ke is employed as the professor and doctoral supervisor of School of Mathematics, Renmin University of China. She is mainly engaged in the theoretical research and application of reaction–diffusion equation. She won Beijing Higher Education Young Elite Teacher Project, the Excellent Teacher Award of Baosteel and the Research Award Program for Outstanding Young Teachers in Higher Education Institutions in Beijing. She presided over 8 high-level scientific research projects, 2 educational reform projects and published 50 scientific research papers.


Jing Li is employed as the associate professor and master supervisor of College of Science, Minzu University of China. She was also employed as the High-level Young Talent of Minzu University of China from 2019 to 2022. Her research interests are the relevance of chemotaxis in reaction–diffusion processes and mathematical theory of nonlocal problem in biology. She presided over three National Natural Science Foundation projects (NNSF) and published more than 20 scientific research papers.


Yifu Wang is employed as the professor of school of Mathematics and Statistics, Beijing Institute of Technology, P.R. of China. His research is  concerned mainly with  qualitative analysis of nonlinear  parabolic equations, such as chemotactic cross-diffusion system in biology and ecology. He has been the supervisor of several master's degree students and Ph.D. students. The research is supported by the National Natural Science Foundation of China (NNSF) and program for new century excellent talents in university (NCET). He has published 80 scientific research papers.

Bibliographic Information

  • Book Title: Analysis of Reaction-Diffusion Models with the Taxis Mechanism

  • Authors: Yuanyuan Ke, Jing Li, Yifu Wang

  • Series Title: Financial Mathematics and Fintech

  • DOI: https://doi.org/10.1007/978-981-19-3763-7

  • Publisher: Springer Singapore

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s) 2022

  • Hardcover ISBN: 978-981-19-3762-0Published: 26 August 2022

  • Softcover ISBN: 978-981-19-3765-1Published: 26 August 2022

  • eBook ISBN: 978-981-19-3763-7Published: 25 August 2022

  • Series ISSN: 2662-7167

  • Series E-ISSN: 2662-7175

  • Edition Number: 1

  • Number of Pages: IX, 411

  • Number of Illustrations: 1 b/w illustrations, 5 illustrations in colour

  • Topics: Mathematics, general, Evolutionary Biology, Cell Biology

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