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PDE Models for Chemotaxis and Hydrod...
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Triebel, Hans,
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PDE Models for Chemotaxis and Hydrodynamics in Supercritical Function Spaces
Record Type:
Electronic resources : Monograph/item
Title/Author:
PDE Models for Chemotaxis and Hydrodynamics in Supercritical Function Spaces/ Hans Triebel
Author:
Triebel, Hans,
Published:
Zuerich, Switzerland :European Mathematical Society Publishing House, : 2017,
Description:
1 online resource (140 pages)
Subject:
Differential equations -
Online resource:
https://doi.org/10.4171/172
Online resource:
https://www.ems-ph.org/img/books/triebel_chemotaxis_mini.jpg
ISBN:
9783037196724
PDE Models for Chemotaxis and Hydrodynamics in Supercritical Function Spaces
Triebel, Hans,
PDE Models for Chemotaxis and Hydrodynamics in Supercritical Function Spaces
[electronic resource] /Hans Triebel - Zuerich, Switzerland :European Mathematical Society Publishing House,2017 - 1 online resource (140 pages) - EMS Series of Lectures in Mathematics (ELM) ;2523-5176.
Restricted to subscribers:https://www.ems-ph.org/ebooks.php
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.
ISBN: 9783037196724
Standard No.: 10.4171/172doiSubjects--Topical Terms:
704075
Differential equations
PDE Models for Chemotaxis and Hydrodynamics in Supercritical Function Spaces
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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.
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