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Kniha Nonlinear Functional Analysis with Applications to Combustion Theory Kazuaki Taira

Nonlinear Functional Analysis with Applications to Combustion Theory

Autor: Kazuaki Taira
Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer, Berlin
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
3 198 Kč
Explore the fascinating intersection of mathematics and combustion theory in this comprehensive mono...

Informace o knize

Autor
Kazuaki Taira
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2025
Stránek
252
EAN
9783031857560
Enbook ID
47701678
Vydavatel
Springer, Berlin
Hmotnost
543
Rozměry
155 x 235

Kompletní popis

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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