Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Bogusław Bożek"'
Publikováno v:
Mathematical Modelling and Analysis, Vol 24, Iss 2 (2019)
In this work we consider the one and multidimensional diffusional transport in an s-component solid solution. The new model is expressed by the nonlinear parabolic-elliptic system of strongly coupled differential equations with the initial and the no
Externí odkaz:
https://doaj.org/article/47745688e4544fa1bb1ba8628714e996
Publikováno v:
Opuscula Mathematica, Vol 29, Iss 2, Pp 117-129 (2009)
How can one compute the sum of an infinite series \(s := a_1 + a_2 + \ldots\)? If the series converges fast, i.e., if the term \(a_n\) tends to \(0\) fast, then we can use the known bounds on this convergence to estimate the desired sum by a finite s
Externí odkaz:
https://doaj.org/article/7ed4fc0686244568be442ae494ccfd3c
Publikováno v:
Opuscula Mathematica, Vol 28, Iss 2, Pp 109-121 (2008)
In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule. One can prove that for any continuous functi
Externí odkaz:
https://doaj.org/article/ca7f151fc3b04f3992f4f22ecb96bc85
Autor:
Bogusław Bożek, Czesław Mączka
Publikováno v:
Opuscula Mathematica, Vol 25, Iss 2, Pp 169-179 (2005)
The present paper suplements and continues [Bożek B., Filipek R., Holly K., Mączka C.: Distribution of temperature in three-dimensional solids. Opuscula Mathematica 20 (2000), 27-40]. Galerkin method for the Fourier–Kirchhoff equation in the case
Externí odkaz:
https://doaj.org/article/746c979934ef4e94a5e4cee7dbf0910c
Autor:
Bogusław Bożek
Publikováno v:
Opuscula Mathematica, Vol 24, Iss 1, Pp 19-33 (2004)
We give a short survey on the theory of the mixed boundary-value problem for the stationary Fourier equation in a non-homogeneous medium defined on any Lipschitz domain \(\Omega\subset\mathbb{R}^n\) (\(n\geq 2\)). The compatibility condition for the
Externí odkaz:
https://doaj.org/article/5b71e26037fc4518a4978c389f6f9157
Publikováno v:
Iranian Journal of Science and Technology, Transactions A: Science. 45:2135-2147
Until 1948 the interdiffusion theory was based on the Onsager phenomenology, namely thermodynamics of irreversible processes, and a drift was not included. Its main limitation is practical impossibility of the experimental as well as theoretical dete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::794abf4f3516190b1a7de0978a7dcfe7
https://doi.org/10.1007/s40995-021-01211-3
https://doi.org/10.1007/s40995-021-01211-3
Publikováno v:
Metallurgical and Materials Transactions A. 52:3221-3231
Interdiffusion between dissimilar solids can change the properties of joined materials. Although much work has been done to study experimentally and theoretically interdiffusion in one-dimensional (1-D) diffusion couples, studying interdiffusion in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3a1db713f3edc7732c0d1f23e722c39
https://doi.org/10.1007/s11661-021-06267-9
https://doi.org/10.1007/s11661-021-06267-9
Publikováno v:
Mathematics and Mechanics of Solids. 25:2178-2198
Over the last two decades, there have been tremendous advances in the computation of diffusion and today many key properties of materials can be accurately predicted by modelling and simulations. In this paper, we present, for the first time, compreh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d30d3c13a7381c9708283b50634c028
https://doi.org/10.1177/1081286520923376
https://doi.org/10.1177/1081286520923376
Publikováno v:
Diffusion Foundations. 10:28-38
This works presents new approach to model formation of expanded austenite (S-phase) during nitriding in plasma conditions. Diffusion saturation of the substrate (iron or austenite steel) is treated as interdiffusion of nitrogen and iron that involves
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfe6bbb1c89bf77daa4556ae3fd50418
https://doi.org/10.4028/www.scientific.net/df.10.28
https://doi.org/10.4028/www.scientific.net/df.10.28
Autor:
Marek Danielewski, Katarzyna Tkacz-Śmiech, Katarzyna Berent, Marek Zajusz, Bogusław Bożek, Dariusz Zientara
Publikováno v:
Metallurgical and Materials Transactions A. 48:2633-2642
In high-temperature coatings, welded parts, and a range of other applications, components in the contact zone interdiffuse at elevated temperatures and may react to change the phase composition. The diffusion zone can be complex and can consist of se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1dd03e3d803dd09b35b3fcf9b3dd5601
https://doi.org/10.1007/s11661-017-4051-8
https://doi.org/10.1007/s11661-017-4051-8