Nonlinear Functional Analysis with Applications to Combustion Theory (eBook, PDF)
Kazuaki Taira
eBook, PDF

Nonlinear Functional Analysis with Applications to Combustion Theory (eBook, PDF)

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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, lin...

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