Discovering Evolution Equations with Applications - Couverture souple

Mckibben, Mark

Couverture souple

ISBN 10 : 1138117781 ISBN 13 : 9781138117785

Editeur : Chapman and Hall/CRC, 2017

Synopsis

Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. It gives nonspecialists, even those with minimal prior exposure to analysis, the foundation to understand what evolution equations are and how to work with them in various areas of practice.

After presenting the essentials of analysis, the book discusses homogenous finite-dimensional ordinary differential equations. Subsequent chapters then focus on linear homogenous abstract, nonhomogenous linear, semi-linear, functional, Sobolev-type, neutral, delay, and nonlinear evolution equations. The final two chapters explore research topics, including nonlocal evolution equations. For each class of equations, the author develops a core of theoretical results concerning the existence and uniqueness of solutions under various growth and compactness assumptions, continuous dependence upon initial data and parameters, convergence results regarding the initial data, and elementary stability results.

By taking an applications-oriented approach, this self-contained, conversational-style book motivates readers to fully grasp the mathematical details of studying evolution equations. It prepares newcomers to successfully navigate further research in the field.

A propos du livre

À propos de l'auteur

Mark A. McKibben is an associate professor in the mathematics and computer science department at Goucher College in Baltimore, Maryland, USA. Dr. McKibben is the author of more than 25 research articles and a referee for more than 30 journals. His research areas include differential equations, stochastic analysis, and applied functional analysis.

À propos de la quatrième de couverture

With many concrete examples and questions, this book provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. Developing all necessary prerequisite material, from real analysis to functional analysis, it gives nonspecialists the foundation to understand what evolution equations are and how to work with them in various areas of practice. The book covers 35 different models spanning chemical kinetics, pharmacokinetics, neural networks, chemotaxis, mathematical physics, beam dynamics, aeroelasticity, infectious disease epidemiology, combustion, and environmental issues.

Détails de l'édition

• Éditeur: Chapman and Hall/CRC
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 1138117781
• ISBN 13: 9781138117785
• Reliure: Broché
• Nombre de pages: 466
• Coordonnées du fabricant: non disponible
• Personne responsable: GPSR Kontakt; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Allemagne