Asymptotic analysis of a coupled ODE-PDE system arising from heterogeneous diffusion-reaction kinetics

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Asymptotic analysis of a coupled ODE-PDE system arising from heterogeneous diffusion-reaction kinetics

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Asymptotic analysis of a coupled ODE-PDE system arising from heterogeneous diffusion-reaction kinetics

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Centrum pokročilých aplikovaných přírodních věd</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Zeitschrift für angewandte Mathematik und Mechanik

ISSN

0044-2267

e-ISSN

1521-4001

Svazek periodika

105

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

35

Strana od-do

1-35

Kód UT WoS článku

001367445100001

EID výsledku v databázi Scopus

2-s2.0-85210730650