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Open AccessPercolativity of Porous Media
Connectivity and connectedness are nonadditive geometric functionals on the set of pore scale structures. They determine transport of mass, volume or momentum in porous media, because without connectivity ther...
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Article
Open AccessA Brief Review of Capillary Number and its Use in Capillary Desaturation Curves
Capillary number, understood as the ratio of viscous force to capillary force, is one of the most important parameters in enhanced oil recovery (EOR). It continues to attract the interest of scientists and eng...
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Article
Open AccessEffective transport coefficients of anisotropic disordered materials
A novel effective medium theory for homogenized transport coefficients of anisotropic mixtures of possibly anisotropic materials is developed. Existing theories for isotropic systems cannot be easily extended,...
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Article
Open AccessOn extremal domains and codomains for convolution of distributions and fractional calculus
It is proved that the class of c-closed distribution spaces contains extremal domains and codomains to make convolution of distributions a well-defined bilinear map**. The distribution spaces are systematica...
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Article
Open AccessFractional glassy relaxation and convolution modules of distributions
Solving fractional relaxation equations requires precisely characterized domains of definition for applications of fractional differential and integral operators. Determining these domains has been a longstand...
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Article
Open AccessConvolution operators on weighted spaces of continuous functions and supremal convolution
The convolution of two weighted balls of measures is proved to be contained in a third weighted ball if and only if the supremal convolution of the corresponding two weights is less than or equal to the third ...
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Article
Erratum to: Non-monotonic Travelling Wave Fronts in a System of Fractional Flow Equations from Porous Media
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Open AccessNon-monotonic Travelling Wave Fronts in a System of Fractional Flow Equations from Porous Media
Motivated by observations of saturation overshoot, this article investigates generic classes of smooth travelling wave solutions of a system of two coupled nonlinear parabolic partial differential equations re...
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Article
Open AccessTraveling Wave Solutions in a Generalized Theory for Macroscopic Capillarity
One-dimensional traveling wave solutions for imbibition processes into a homogeneous porous medium are found within a recent generalized theory of macroscopic capillarity. The generalized theory is based on th...
