7 papers
Thermodynamic Structure and Composition in Nonlinear Convection-Diffusion
J. J. Segura
Nonlinear convection--diffusion systems play a central role in transport phenomena, including mass transfer, heat transfer, porous-media transport, and coupled continuum processes…
Curvelet-Regularized SPDE Inversion on Piecewise-Planar Fractures with Trace-Graph Coupling
J. J. Segura
We formulate a sparse-to-dense reconstruction layer for fractured media in which sparse point measurements are mapped onto piecewise-planar fracture supports inferred from 3D trace…
Computable Structuralism: A Categorical Rewrite Calculus of Mythic Variants
Juan J. Segura
Structural approaches to myth and narrative are compelling in close reading but hard to compare across traditions, media, and scale. We propose a formal framework that renders Lév…
Geostatistics from Elliptic Boundary-Value Problems: Green Operators, Transmission Conditions, and Schur Complements
Juan J. Segura
Classical geostatistics encodes spatial dependence by prescribing variograms or covariance kernels on Euclidean domains, whereas the SPDE--GMRF paradigm specifies Gaussian fields t…
From Columns to Heaps: Dimensionless Similarity with PSD-Distributed Damköhler Numbers and Dual-Porosity Flow
Juan J. Segura
This work develops a unified, dimensionless framework for comparing geometrically similar reacting porous-flow systems across scale, with emphasis on hydrometallurgical heap leachi…
A Conservative Log-Size Master Equation for Fragmentation PBEs: Jump Transport, Drift--Diffusion Asymptotics, and PSD Inference
Juan J. Segura
Fragmentation population-balance equations (PBEs) describe how particle size distributions (PSDs) evolve under breakage and daughter fragment redistribution. From a standard self-s…