On existence, uniqueness and two-scale convergence of a model for coupled flows in heterogeneous media

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F21%3A00344341" target="_blank" >RIV/68407700:21110/21:00344341 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/s10440-020-00378-y" target="_blank" >https://doi.org/10.1007/s10440-020-00378-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10440-020-00378-y" target="_blank" >10.1007/s10440-020-00378-y</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On existence, uniqueness and two-scale convergence of a model for coupled flows in heterogeneous media

Popis výsledku v původním jazyce

This paper is concerned with the global existence, uniqueness and homog- enization of degenerate partial differential equations with integral conditions arising from coupled transport processes and chemical reactions in three-dimensional highly heterogeneous porous media. Existence of global weak solutions of the microscale problem is proved by means of semidiscretization in time deriving a priori estimates for discrete approximations needed for proofs of existence and convergence theo- rems. It is further shown that the solution of the microscale problem is two-scale convergent to that of the upscaled problem as the scale parameter goes to zero. In particular, we focus our efforts on the contribution of the so-called first order correc- tors in periodic homogenization. Finally, under additional assumptions, we consider the problem of the uniqueness of the solution to the homogenized problem.

Název v anglickém jazyce

On existence, uniqueness and two-scale convergence of a model for coupled flows in heterogeneous media

Popis výsledku anglicky

This paper is concerned with the global existence, uniqueness and homog- enization of degenerate partial differential equations with integral conditions arising from coupled transport processes and chemical reactions in three-dimensional highly heterogeneous porous media. Existence of global weak solutions of the microscale problem is proved by means of semidiscretization in time deriving a priori estimates for discrete approximations needed for proofs of existence and convergence theo- rems. It is further shown that the solution of the microscale problem is two-scale convergent to that of the upscaled problem as the scale parameter goes to zero. In particular, we focus our efforts on the contribution of the so-called first order correc- tors in periodic homogenization. Finally, under additional assumptions, we consider the problem of the uniqueness of the solution to the homogenized problem.

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

2021

Kód důvěrnosti údajů

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

Název periodika

Acta Applicandae Mathematicae

ISSN

0167-8019

e-ISSN

1572-9036

Svazek periodika

171

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

30

Strana od-do

1-30

Kód UT WoS článku

000600114600001

EID výsledku v databázi Scopus

2-s2.0-85097792754