Book Details


Search page | Title Index  | Author Index

Table of contents | Preface | MARC record  | Metadata XML  | e-Book PDF (1090 KB)
PDE Models for Chemotaxis and Hydrodynamics in Supercritical Function Spaces
EMS Series of Lectures in Mathematics

Hans Triebel (University of Jena, Germany)

PDE Models for Chemotaxis and Hydrodynamics in Supercritical Function Spaces

ISBN print 978-3-03719-172-9, ISBN online 978-3-03719-672-4
DOI 10.4171/172
March 2017, 140 pages, softcover, 17 x 24 cm.
32.00 Euro

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.

Keywords: Function spaces of Besov–Sobolev type, chemotaxis, hydrodynamics, heat equations, Keller–Segel equations, Navier–Stokes equations

BACK TO TOP