From the 1 of 6 linked papers with an AI index.
6 papers
From nonisothermal BGK to Euler Maxwellians via relative entropy
Nuno J. Alves
The paper analyzes how solutions of the nonisothermal BGK kinetic model converge to Euler Maxwellians by using a relative entropy framework, providing conditional stability estimat…
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…
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…
Local analytic well-posedness for one-dimensional Vlasov$\unicode{x2013}$Dirac$\unicode{x2013}$Benney-type equations
Nuno J. Alves, Peter Markowich, Athanasios E. Tzavaras
We study a one-dimensional nonlinear Vlasov equation with a local self-consistent force field generated by the density, where the force is given by the spatial derivative of a real…
Rigorous dense graph limit of a model for biological transportation networks
Nuno J. Alves, Jan Haskovec
We rigorously derive the dense graph limit of a discrete model describing the formation of biological transportation networks. The discrete model, defined on undirected graphs with…
High-friction limit for bipolar Euler-Riesz systems
Nuno J. Alves, Jan Haskovec
We consider a bipolar Euler-Riesz system and rigorously justify the high-friction limit of weak solutions towards a bipolar aggregation-diffusion system with Riesz interactions. Th…