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Książka Nonlinear Functional Analysis with Applications to Combustion Theory Kazuaki Taira

Nonlinear Functional Analysis with Applications to Combustion Theory

Autor: Kazuaki Taira
Język: Angielski
Oprawa: Twarda
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
598.81 zł
Explore the fascinating intersection of mathematics and combustion theory in this comprehensive mono...

Informacje o książce

Autor
Kazuaki Taira
Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2025
strony
252
EAN
9783031857560
Enbook ID
47701678
Wydawca
Springer, Berlin
Waga
543
Wymiary
155 x 235

Pełny opis

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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