Asymptotic analysis of a coupled ODE-PDE system arising from heterogeneous diffusion-reaction kinetics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F25%3A00378101" target="_blank" >RIV/68407700:21110/25:00378101 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/zamm.202400181" target="_blank" >https://doi.org/10.1002/zamm.202400181</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/zamm.202400181" target="_blank" >10.1002/zamm.202400181</a>
Alternative languages
Result language
angličtina
Original language name
Asymptotic analysis of a coupled ODE-PDE system arising from heterogeneous diffusion-reaction kinetics
Original language description
This contribution is concerned with the well-posedness and homogenization of an ordinary differential equation (ODE) of Arrhenius type coupled with a doubly nonlinear parabolic partial differential equation (PDE) with rapidly oscillating coefficients and taking into account disparate diffusion-reaction time scales including regularly as well as singularly perturbed problems. The ODE-PDE system is spatially dependent and is subjected to Robin type boundary conditions. Such problems are used to model a variety of processes and phenomena such as combustion and exothermal chemical reactions. We will have a special look at the questions of the existence, uniqueness, boundedness and the asymptotic limit of the microscale problem applying the two-scale convergence and unfolding method. A numerical example illustrates both the expected behavior of the approximated solutions as well as the capability of the proposed upscaled models.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Zeitschrift für angewandte Mathematik und Mechanik
ISSN
0044-2267
e-ISSN
1521-4001
Volume of the periodical
105
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
35
Pages from-to
1-35
UT code for WoS article
001367445100001
EID of the result in the Scopus database
2-s2.0-85210730650