Publication detail

Homogenization of Monotone Problems with Uncertain Coefficients

FRANCŮ, J. NECHVÁTAL, L.

Czech title

Homogenizace monotónních úloh s neurčitými koeficienty

English title

Homogenization of Monotone Problems with Uncertain Coefficients

Type

journal article - other

Language

en

Original abstract

The homogenization problem for a nonlinear elliptic equation modelling some physical phenomena set in a periodically heterogeneous medium is studied. Contrary to the usual approach, the coefficients in the equation are supposed to be uncertain functions from a given set of admissible data satisfying suitable monotonicity and continuity conditions. The problem with uncertainties is treated by means of the worst scenario method.

Czech abstract

Je studována homogenizace okrajové úlohy s nelineární elliptickou rovnicí modelující některé fyzikální jevy zasazné v periodicky heterogenním prostředí. Narozdíl od klasického přístupu k řešení úlohy, považujeme koefeicenty rovnice za neurčité funkce z nějaké množiny přípustných dat. Úloha s neurčitostmi je řešena ve smyslu metody nejhoršího scénáře.

English abstract

The homogenization problem for a nonlinear elliptic equation modelling some physical phenomena set in a periodically heterogeneous medium is studied. Contrary to the usual approach, the coefficients in the equation are supposed to be uncertain functions from a given set of admissible data satisfying suitable monotonicity and continuity conditions. The problem with uncertainties is treated by means of the worst scenario method.

Keywords in Czech

Homogenizce, nelineární eliptická rovnice, neurčitá vstupní data, metoda nejhoršího scénáře.

Keywords in English

Homogenization, nonlinear elliptic equation, uncertain input data, worst scenario method.

RIV year

2011

Released

24.08.2011

Publisher

Taylor&Francis a VGTU

Location

Vilnius Gediminas Technical University

ISSN

1392-6292

Journal

Mathematical Modelling and Analysis

Volume

16

Number

3

Pages from–to

432–441

Pages count

10

BIBTEX


@article{BUT72976,
  author="Jan {Franců} and Luděk {Nechvátal},
  title="Homogenization of Monotone Problems with Uncertain Coefficients",
  journal="Mathematical Modelling and Analysis",
  year="2011",
  volume="16",
  number="3",
  month="August",
  pages="432--441",
  publisher="Taylor&Francis a VGTU",
  address="Vilnius Gediminas Technical University",
  issn="1392-6292"
}