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math.OC2026
A duality approach to the dense graph limit for biological transportation networks
Nuno J. Alves, Jan Haskovec
We develop a duality-based formulation of the dense graph limit for a variational model of biological transportation networks, where edge conductivities balance pumping power again…
math.AP2026
An -theory for -Schrödinger equations with confinement in measure
Nuno J. Alves, José Miguel Urbano
We consider stationary -Schrödinger equations on the whole space with integrable data and potentials that are confining in measure. We introduce asymptotic energy solutions in a…
math.AP2026
From nonisothermal BGK to Euler Maxwellians via relative entropy
Nuno J. Alves
We study the hydrodynamic limit of the nonisothermal BGK model toward Euler Maxwellians. For a prescribed sufficiently smooth Euler solution, we use relative entropy to compare a B…