Evolution Equations Arising in the Modelling of Life Sciences (International Series of Numerical Mathematics, 163, Band 163) - Hardcover

Efendiev, Messoud

 
9783034806145: Evolution Equations Arising in the Modelling of Life Sciences (International Series of Numerical Mathematics, 163, Band 163)
Hardcover
ISBN 10: 3034806140 ISBN 13: 9783034806145
Verlag: Birkhäuser, 2013

Inhaltsangabe

This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Messoud Efendiev is professor of mathematics, especially dynamical system, at the Helmholtz Center Munich, Germany.

Von der hinteren Coverseite

This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting.

The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhäuser
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
3034806140
ISBN 13 
9783034806145
Einband
Gebundene Ausgabe
Anzahl der Seiten
229
Kontakt zum Hersteller
Springer-Verlag GmbH
customerservice@springernature.com

Tiergartenstraße 17
Heidelberg
Baden-Württemberg
69121
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783034807807: Evolution Equations Arising in the Modelling of Life Sciences (International Series of Numerical Mathematics, Band 163)

Vorgestellte Ausgabe

ISBN 10:  3034807805 ISBN 13:  9783034807807
Verlag: Birkhäuser, 2015
Softcover