T-coercivity for the homogenization of sign-changing coefficients scalar problems with extreme contrasts

Authors :: Bunoiu, Renata
Ramdani, Karim
Timofte, Claudia
Equations aux dérivées partielles (EDP)
Institut Élie Cartan de Lorraine (IECL)
Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)
Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization (SPHINX)
Inria Nancy - Grand Est
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
Faculty of Physics [Bucarest]
Universitatea din Bucuresti (UB)
Ramdani, Karim
Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)
Source :: Mathematical Reports, Mathematical Reports, Romanian Academy of Sciences, In press, Mathematical Reports, In press, Marius Tucsnak 60th Anniversary Volume, 24(74) (1-2)
Publication Year :: 2021
Publisher :: HAL CCSD, 2021.
Abstract: International audience; We study the homogenization of a diffusion-type problem, for sign-changing conductivities with extreme contrasts. The weak limit, which is proved to be the same as in the elliptic case of positive conductivities, has an explicit dependence on the conductivities.

Subjects :: Homogenization
T-coercivity
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
sense organs
[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]
Sign-changing coefficients
AMS subject classification: 35B27, 78M40, 35Q60, 35J20

Language :: English
ISSN :: 15823067 and 22853898
Database :: OpenAIRE
Journal :: Mathematical Reports, Mathematical Reports, Romanian Academy of Sciences, In press, Mathematical Reports, In press, Marius Tucsnak 60th Anniversary Volume, 24(74) (1-2)
Accession number :: edsair.dedup.wf.001..66069eeadf8f10b4821337841eebea76

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