Singularities of Solutions to Chemotaxis Systems

Name: Singularities of Solutions to Chemotaxis Systems
Brand: de Gruyter
SKU: 9783110597899
Price: 4203.00 INR
Availability: InStock

by Piotr Biler

de Gruyter · 2019

A mathematics monograph on the Keller-Segel model for chemotaxis, constructing global-in-time solutions and deriving blowup criteria. Suits researchers working on nonlocal systems of this kind.

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About this book

The Keller-Segel model is a prototype of nonlocal systems that describe concentration phenomena in physics and biology. The two-dimensional theory for this model is now quite complete. In higher dimensions, questions about whether solutions exist globally in time and how blowup occurs remain largely open.

Biler constructs global-in-time solutions under assumptions on the initial data that are close to optimal, and he derives rigorous blowup criteria. The results are presented as a mathematical monograph for specialists.

This edition is published by de Gruyter under ISBN-13 9783110597899.