Operator estimates for non-periodically perforated domains: disappearance of cavities

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50020478" target="_blank" >RIV/62690094:18470/24:50020478 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.tandfonline.com/doi/full/10.1080/00036811.2023.2209726" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/00036811.2023.2209726</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/00036811.2023.2209726" target="_blank" >10.1080/00036811.2023.2209726</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Operator estimates for non-periodically perforated domains: disappearance of cavities

Popis výsledku v původním jazyce

We consider a boundary value problem for a general second-order linear equation in a perforated domain. The perforation is made by small cavities, a minimal distance between the cavities is also small. We impose minimal natural geometric conditions on the shapes of the cavities and no condi-tions on their distribution in the domain. On the boundaries of the cavities, a nonlinear Robin condition is imposed. The sizes of the cavities and the minimal distance between them are supposed to satisfy a certain simple condition ensuring that under the homogenization the cavities disappear and we obtain a similar problem in a non-perforated domain. Our main results state the convergence of the solution of the perturbed problem to that of the homogenized one in W-2(1)- and L-2-norms uniformly in L-2-norm of the right-hand side in the equation and provide the estimates for the convergence rates.

Název v anglickém jazyce

Operator estimates for non-periodically perforated domains: disappearance of cavities

Popis výsledku anglicky

We consider a boundary value problem for a general second-order linear equation in a perforated domain. The perforation is made by small cavities, a minimal distance between the cavities is also small. We impose minimal natural geometric conditions on the shapes of the cavities and no condi-tions on their distribution in the domain. On the boundaries of the cavities, a nonlinear Robin condition is imposed. The sizes of the cavities and the minimal distance between them are supposed to satisfy a certain simple condition ensuring that under the homogenization the cavities disappear and we obtain a similar problem in a non-perforated domain. Our main results state the convergence of the solution of the perturbed problem to that of the homogenized one in W-2(1)- and L-2-norms uniformly in L-2-norm of the right-hand side in the equation and provide the estimates for the convergence rates.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA22-18739S" target="_blank" >GA22-18739S: Asymptotická a spektrální analýza operátorů v matematické fyzice</a><br>

Návaznosti

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

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

APPLICABLE ANALYSIS

ISSN

0003-6811

e-ISSN

1563-504X

Svazek periodika

103

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

15

Strana od-do

859-873

Kód UT WoS článku

000982050200001

EID výsledku v databázi Scopus

2-s2.0-85158851626