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Nonlinear Functional Analysis with Applications to Combustion Theory: 221 (Applied Mathematical Sciences, 221) - Tapa dura

Taira, Kazuaki

 
9783031857560: Nonlinear Functional Analysis with Applications to Combustion Theory: 221 (Applied Mathematical Sciences, 221)
Tapa dura
ISBN 10: 3031857569 ISBN 13: 9783031857560
Editorial: Springer-Verlag GmbH, 2025

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Dr. Kazuaki Taira, born in Tokyo, Japan, on January first 1946, was a professor of mathematics at the University of Tsukuba, Japan (1998–2009). He received his Bachelor of Science degree in 1969 from the University of Tokyo, Japan, and his Master of Science degree in 1972 from Tokyo Institute of Technology, Japan, where he served as an assistant from 1972 to 1978. The Doctor of Science degree was awarded to him on June 21 1976 by the University of Tokyo, and on June 13 1978 the Doctorat d’´Etat (literally ‘State Doctorate’) degree was given to him by Universit´e de Paris-Sud (Orsay), France. He had been studying there on the French government scholarship from 1976 to 1978.
 
Dr. Taira was also a member of the Institute for Advanced Study (Princeton), U. S. A. (1980–1981), and was an associate professor at the University of Tsukuba (1981–1995), and a professor at Hiroshima University, Japan (1995–1998). In 1998, he accepted the offer from the University of Tsukuba to teach there again as a professor. He was a part-time professor at Waseda University (Tokyo), Japan, from 2009 to 2017.
 
His current research interests are in the study of three interrelated subjects in analysis: semigroups, elliptic boundary value problems and Markov processes.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer-Verlag GmbH
Año de publicación
2025
Idioma
Inglés
ISBN 10 
3031857569
ISBN 13 
9783031857560
Encuadernación
Tapa dura
Número de páginas
269
Contacto del fabricante
no disponible
Persona responsable
no disponible