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math.AP2026
Interfaces and non-uniqueness in a cross-diffusion system with independent drifts
Charles Elbar, Guy Parker
We study a one-dimensional cross-diffusion system of two populations. Their densities are diffused with a common pressure that depends on the total density, but are transported by…
math.AP2026
Global existence for a system without self-diffusion and different mobilities
Charles Elbar
We study a one-dimensional cross-diffusion system for two interacting populations on the torus, with a linear pressure law and different mobilities. For arbitrary bounded non-negat…