Nonlinear Functional Analysis with Applications to Combustion Theory

Name: Nonlinear Functional Analysis with Applications to Combustion Theory
Brand: Springer
Availability: OutOfStock
Rating: 5 (1 reviews)

By Kazuaki Taira

0 - Default Title

Description

Explore the fascinating intersection of mathematics and combustion theory in this comprehensive monograph, inspired by the pioneering work of N. N. Semenov and D. A. Frank-Kamenetskii. Delving into the nonlinear functional analytic approach, this book examines semilinear elliptic boundary value problems governed by the Arrhenius equation and Newton's law of heat exchange. Key topics include:

- Detailed analysis of boundary conditions, including isothermal (Dirichlet) and adiabatic (Neumann) cases. - Critical insights into ignition and extinction phenomena in stable steady temperature profiles, linked to the Frank-Kamenetskii parameter. - Sufficient conditions for multiple positive solutions, revealing the S-shaped bifurcation curves of these problems. Designed for researchers and advanced students, this monograph provides a deep understanding of nonlinear functional analysis and elliptic boundary value problems through their application to combustion and chemical reactor models. Featuring detailed illustrations, clearly labeled figures, and tables, this book ensures clarity and enhances comprehension of complex concepts. Whether you are exploring combustion theory, functional analysis, or applied mathematics, this text offers profound insights and a thorough mathematical foundation.

Product details

Number of Pages:

288

Release Date:

2025-05-15

Publication Date:

2025-05-15

Publisher:

Springer

Languages:

Original: English

ISBN10:

3031857569

ISBN13:

9783031857560

GPSR Manufacturer Reference:

[email protected]

Weight:

598 g

Height:

160 cm

Width:

241 cm

Thickness:

22 cm

Buy on Amazon

Currently sold out