Generalized G-convergence for quasilinear elliptic differential operators |
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Authors: | Josef Malík |
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Institution: | Institute of Geonics of the Academy of Sciences, Studetská 1768, 708 00 Ostrava–Poruba, Czech Republic |
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Abstract: | Generalized G-convergence for a quasilinear elliptic differential equation is defined and studied. The equation describes heat conduction in the cores of large electric transformers. The coefficients of the equation depend on temperature and the corresponding differential operator is neither potential nor monotone. A theory which generalizes the classical G-convergence is proposed. The theory is applied to the homogenization of the quasilinear elliptic differential equation with periodic coefficients. |
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Keywords: | G-convergence Quasilinear elliptic differential equation Homogenization |
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