Applied Mathematical Sciences: Nonlinear Functional Analysis with Applications to Combustion Theory
maj 2025 · Applied Mathematical Sciences Çështja nr. 221 · Springer Nature
Libër elektronik
269
Faqe
reportVlerësimet dhe komentet nuk janë të verifikuara Mëso më shumë
Rreth këtij libri elektronik
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.
Rreth autorit
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.
Vlerëso këtë libër elektronik
Na trego se çfarë mendon.
Informacione për leximin
Telefona inteligjentë dhe tabletë
Instalo aplikacionin "Librat e Google Play" për Android dhe iPad/iPhone. Ai sinkronizohet automatikisht me llogarinë tënde dhe të lejon të lexosh online dhe offline kudo që të ndodhesh.
Laptopë dhe kompjuterë
Mund të dëgjosh librat me audio të blerë në Google Play duke përdorur shfletuesin e uebit të kompjuterit.
Lexuesit elektronikë dhe pajisjet e tjera
Për të lexuar në pajisjet me bojë elektronike si p.sh. lexuesit e librave elektronikë Kobo, do të të duhet të shkarkosh një skedar dhe ta transferosh atë te pajisja jote. Ndiq udhëzimet e detajuara në Qendrën e ndihmës për të transferuar skedarët te lexuesit e mbështetur të librave elektronikë.
