PDE models for chemotaxis and hydrodynamics in supercritical function spaces
By: Hans Triebel
Series: EMS series of lectures in mathematics; EMS series of lectures in mathematics
Publisher: European Mathematical Society Publishing House
Published: 2017
Place of publication: Zurich, Switzerland
Language: eng
Number of pages: 130
ISBN-13: 9783037191729; 9783037196724
Copyright date: 2017
Subjects: Function spaces
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.
Notes: Includes bibliographical references (pages 121-126) and index.