Mathematical and Numerical Analysis of Nonlinear Evolution Equations: Advances and Perspectives - Hardcover

 
9783039432721: Mathematical and Numerical Analysis of Nonlinear Evolution Equations: Advances and Perspectives
Hardcover
ISBN 10: 3039432729 ISBN 13: 9783039432721
Publisher: Mdpi AG, 2020

Synopsis

The topic of this book is the mathematical and numerical analysis of some recent frameworks based on differential equations and their application in the mathematical modeling of complex systems, especially of living matter. First, the recent new mathematical frameworks based on generalized kinetic theory, fractional calculus, inverse theory, Schrödinger equation, and Cahn-Hilliard systems are presented and mathematically analyzed. Specifically, the well-posedness of the related Cauchy problems is investigated, stability analysis is also performed (including the possibility to have Hopf bifurcations), and some optimal control problems are presented. Second, this book is concerned with the derivation of specific models within the previous mentioned frameworks and for complex systems in biology, epidemics, and engineering. This book is addressed to graduate students and applied mathematics researchers involved in the mathematical modeling of complex systems.

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Publisher
Mdpi AG
Publication date
2020
Language
English
ISBN 10 
3039432729
ISBN 13 
9783039432721
Binding
Hardcover
Number of pages
208
Editor
Bianca Carlo