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Nonlinear Functional Analysis with Applications to Combustion Theory

By: (Author) Kazuaki Taira

Extended Catalogue

Ksh 21,600.00

Format: Hardback or Cased Book

ISBN-10: 3031857569

ISBN-13: 9783031857560

Series: Applied Mathematical Sciences

Publisher: Springer International Publishing AG

Imprint: Springer International Publishing AG

Country of Manufacture: GB

Country of Publication: GB

Publication Date: May 15th, 2025

Print length: 269 Pages

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Detailed analysis of boundary conditions, including isothermal (Dirichlet) and adiabatic (Neumann) cases.

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.


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