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Mathematical and Numerical Analysis of Nonlinear Evolution Equations Advances and Perspectives

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 t...

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Bibliographic Details
Main Author: Bianca, Carlo
Format: eBook
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:
Compartment Model
Active Particles
Real Activity Variable
Mathematics & Science / Bicssc
Seiqrs-v Model
Nonequilibrium Stationary States
Exact Solutions
Kinetic Theory
Dynamical Systems
Cahn–hilliard Systems
Thermostat
C0−semigroup
Lyapunov Functional
Abstract Cauchy Problem
Optimal Control
Delay
Autoimmune Disease
Second-order Differential Equations
Davydov’s Model
Research & Information: General / Bicssc
Hopf Bifurcation
Wardoski Contraction
Necessary Optimality Conditions
Stability
Discrete Fourier Transform
Epidemics
Partial Differential Equations
Discrete Kinetic Theory
B—metric-like Spaces
Complex Systems
Fractional Derivative
Fractional Operators
Evolution Equations
Nonlinearity
Electric Circuit Equations
Basic Reproduction Number
Schrödinger Equation
Well-posedness
Cauchy Problem
Almost (s, Q)—jaggi-type
Inverse Problem
Regularity
Integro-differential Equations
Degenerate Equations
Boundedness
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
Description
Summary: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.
Item Description:Creative Commons (cc), https://creativecommons.org/licenses/by/4.0/
Physical Description:1 electronic resource (208 p.)
ISBN:9783039432738
9783039432721
books978-3-03943-273-8

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