On the Pure Mathematical Aspects in Mathematical Models of some Metal Forming Processes
Result description
We shortly present some aspects of the number theory, group theory and theory of partial differential equations as they are revealed by original mathematical models of typical metal forming processes. We show that the so called central embedding problemsover a number field is especially concerned in some revised form that correlates with the wave equation operator (d´Alembert operator first of all). This is typical for metal forming process like the Mannesmann-piercing process, where a rotating round hot metal semiproduct is pierced by means of the piercing plug ?between? two rotating conical rolls
Keywords
Centralembeddingproblemdifferentialoperatorstelegraphequation
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the Pure Mathematical Aspects in Mathematical Models of some Metal Forming Processes
Original language description
We shortly present some aspects of the number theory, group theory and theory of partial differential equations as they are revealed by original mathematical models of typical metal forming processes. We show that the so called central embedding problemsover a number field is especially concerned in some revised form that correlates with the wave equation operator (d´Alembert operator first of all). This is typical for metal forming process like the Mannesmann-piercing process, where a rotating round hot metal semiproduct is pierced by means of the piercing plug ?between? two rotating conical rolls
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JG - Metallurgy, metal materials
OECD FORD branch
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Result continuities
Project
ED0040/01/01: Regional materials science and technology centre
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Theory and Modeling
ISSN
2224-5804
e-ISSN
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Volume of the periodical
2
Issue of the periodical within the volume
12
Country of publishing house
CN - CHINA
Number of pages
10
Pages from-to
54-63
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
JG - Metallurgy, metal materials
Year of implementation
2012