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• W2010497960 abstract "We studied the asymptotic behavior of the solution of a nonlinear parabolic equation with nonstandard growth in a ε-periodic fractured medium, where ε is the parameter that characterizes the scale of the microstructure tending to zero. We consider a double porosity type model describing the flow of a compressible fluid in a heterogeneous anisotropic porous medium obeying the nonlinear Darcy law. We assume that the permeability ratio of matrix blocks to fractures is of order εpε(x), where pε is a continuous positive function. We obtained the convergence of the solution and a macroscopic model of the problem was constructed using the notion of two-scale convergence combined with the variational homogenization method in the framework of Sobolev spaces with variable exponents." @default.
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• W2010497960 date "2009-08-01" @default.
• W2010497960 modified "2023-09-30" @default.
• W2010497960 title "Nonlinear flow through double porosity media in variable exponent Sobolev spaces" @default.
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• W2010497960 doi "https://doi.org/10.1016/j.nonrwa.2008.05.008" @default.
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