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Carte Nonlinear Functional Analysis with Applications to Combustion Theory Kazuaki Taira

Nonlinear Functional Analysis with Applications to Combustion Theory

Autor: Kazuaki Taira
Limbă: engleză
Legare: Copertă tare
Editura: Springer, Berlin
Disponibilitate: În depozitul extern
Expediem în 10-13 zile
770.07 lei
Explore the fascinating intersection of mathematics and combustion theory in this comprehensive mono...

Informații despre carte

Autor
Kazuaki Taira
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2025
Pagini
252
EAN
9783031857560
Enbook ID
47701678
Editura
Springer, Berlin
Greutate
543
Dimensiuni
155 x 235

Descriere completă

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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