Analysis of Reaction-Diffusion Models with the Taxis Mechanism

This open-access book discusses the derivation of necessary a priori estimates for taxis-type cross-diffusive equations, highlighting the role of quasi-energy inequality. It is relevant to applied mathematics and researchers interested in mathematical development of reaction-diffusion theory and its applications.

Format: Paperback / softback
Length: 411 pages
Publication date: 26 August 2022
Publisher: Springer Verlag, Singapore

This open-access book explores a diverse range of taxis-type cross-diffusive equations, with a specific focus on highlighting the crucial role played by quasi-energy inequality in the derivation of essential a priori estimates. It caters to applied mathematics and scholars interested in the mathematical evolution of reaction-diffusion theory and its practical applications. Moreover, it serves as a valuable resource for a graduate-level course in applied mathematics.

The book begins by introducing the fundamental concepts and principles of reaction-diffusion equations, providing a solid foundation for subsequent chapters. It then delves into the derivation of a priori estimates, emphasizing the significance of quasi-energy inequality in achieving these estimates.

Throughout the book, real-world examples and applications are presented to illustrate the theoretical concepts and their practical implications. These examples range from chemical reactions and population dynamics to heat transfer and fluid flow, showcasing the broad range of applications of reaction-diffusion equations.

The book is written in a clear and concise manner, making it accessible to students, researchers, and practitioners in the field of applied mathematics. It includes detailed explanations, examples, and exercises to reinforce the understanding of the topics covered.

In conclusion, this book offers a comprehensive and up-to-date treatment of taxis-type cross-diffusive equations. It highlights the role of quasi-energy inequality in deriving necessary a priori estimates and provides real-world examples and applications to reinforce the theoretical concepts. It is an essential resource for applied mathematics students, researchers, and practitioners interested in advancing their knowledge in this field.

Weight: 646g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811937651
Edition number: 1st ed. 2022