Article ID Journal Published Year Pages File Type
844169 Nonlinear Analysis: Theory, Methods & Applications 2008 11 Pages PDF
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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Physical Sciences and Engineering Engineering Engineering (General)
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