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Analysis of reaction-diffusion models with the Taxis mechanism [electronic resource] / by Yuanyuan Ke, Jing Li, Yifu Wang.

By: Contributor(s): Material type: TextTextSeries: Financial Mathematics and FintechPublisher: Singapore : Springer Nature Singapore : Imprint: Springer, 2022Edition: 1st ed. 2022Description: IX, 411 p. 6 illus., 5 illus. in color. online resourceContent type:
Media type:
Carrier type:
ISBN:
  • 9789811937637
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 510 23
Online resources:
Contents:
Chapter 1. Large time behavior of solutions to the chemotaxis-fluid -- Chapter 2. Global existence in Keller--Segel-- Navier--Stokes system involving tensor-valued sensitivity -- Chapter 3. Large time behavior of solutions to chemotaxis--haptotaxis models -- Chapter 4. Large time behavior of Keller--Segel--(Navier)--Stokes system modeling coral fertilization -- Chapter 5. Qualitative properties to density-suppressed motility models -- Chapter 6. Large time behavior of multi-taxis cross-diffusion system.
In: Springer Nature eBookSummary: 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.
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Chapter 1. Large time behavior of solutions to the chemotaxis-fluid -- Chapter 2. Global existence in Keller--Segel-- Navier--Stokes system involving tensor-valued sensitivity -- Chapter 3. Large time behavior of solutions to chemotaxis--haptotaxis models -- Chapter 4. Large time behavior of Keller--Segel--(Navier)--Stokes system modeling coral fertilization -- Chapter 5. Qualitative properties to density-suppressed motility models -- Chapter 6. Large time behavior of multi-taxis cross-diffusion system.

Open Access

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.

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