Evolution Equations Arising in the Modelling of Life Sciences: 163 - Rilegato

Efendiev, Messoud

 
9783034806145: Evolution Equations Arising in the Modelling of Life Sciences: 163
Rilegato
ISBN 10: 3034806140 ISBN 13: 9783034806145
Casa editrice: Birkhauser, 2013

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull?autore

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

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Birkhauser
Data di pubblicazione
2013
Lingua
Inglese
ISBN 10 
3034806140
ISBN 13 
9783034806145
Rilegatura
Copertina rigida
Numero di pagine
217
Contatto del produttore
Springer-Verlag GmbH
customerservice@springernature.com

Tiergartenstraße 17
Heidelberg
Baden-Württemberg
69121
Germania

Altre edizioni note dello stesso titolo

9783034807807: Evolution Equations Arising in the Modelling of Life Sciences: 163

Edizione in evidenza

ISBN 10:  3034807805 ISBN 13:  9783034807807
Casa editrice: Birkhäuser, 2015
Brossura