PDE models for chemotaxis and hydrodynamics in supercritical function spaces
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Author
Publication
2017 - European Mathematical Society Publishing House, Zurich, Switzerland, Switzerland
Language
English
Word Count
32,500 words, Guess
Page Count
130 pages
Identifiers
- Open LibraryOL44454787M
- ISBN-139783037191729
- ISBN-103037191724
- OCLC Control Number994930776
- OCLC Control Number992140196
and 1 more
- Library of Congress Control Number2017385978
Classifications
- LCCQA323 .T75 2017
Description
This book deals with PDE models for chemotaxis (the movement of biological cells or organisms in response of chemical gradients) and hydrodynamics (viscous, homogeneous, and incompressible fluid filling the entire space). The underlying Keller-Segel equations (chemotaxis), Navier-Stokes equations (hydrodynamics), and their numerous modifications and combinations are treated in the context of inhomogeneous spaces of Besov-Sobolev type paying special attention to mapping properties of related nonlinearities. Further models are considered, including (deterministic) Fokker-Planck equations and chemotaxis Navier-Stokes equations. These notes are addressed to graduate students and mathematicians having a working knowledge of basic elements of the theory of function spaces, especially of Besov-Sobolev type and interested in mathematical biology and physics.
Subjects
Topics
Series Statement
- EMS series of lectures in mathematics
Links
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