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Mathematical complexities in porous media flow

open access: yes, 2019
Multiphase flow through porous media plays an important role in many practical applications, from groundwater modelling, oil and gas recovery to CO2 sequestration. In the current work, we address two challenges related to accurate modelling and simulation of such processes.
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Mathematical Identity Flow

open access: yes
The concept of identity in mathematics has traditionally been regarded as a fixed, immutable attribute of an object. This paper proposes a novel perspective: identity is not a static label but a continuous flow that evolves alongside the object itself. We formalize this idea with the notion of an Identity Flow, which captures the dynamic transformation
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