PDE Models for Chemotaxis and Hydrodynamics in Supercritical Function Spaces

Hans Triebel (Autor)

Buch | Softcover

138 Seiten

2017
EMS Press (Verlag)
978-3-03719-172-9 (ISBN)

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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.

Erscheinungsdatum	06.04.2017
Reihe/Serie	EMS Series of Lectures in Mathematics
Sprache	englisch
Maße	170 x 240 mm
Einbandart	Englisch Broschur
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Chemotaxis • function spaces of Besov–Sobolev type • heat equations • Hydrodynamics • Keller–Segel equations • Navier–Stokes equations
ISBN-10	3-03719-172-4 / 3037191724
ISBN-13	978-3-03719-172-9 / 9783037191729
Zustand	Neuware