44 citations · 145 across the 27 of their papers we have counts for
Showing 2026Show all
2 papers · 1 filter
math.AP2026
Semilinear Neumann boundary value problems for measure-valued maps
Aleksei Kroshnin, Hugo Lavenant, Dmitry Vorotnikov
We study the Wasserstein lift of nonlinear Poisson systems with inhomogeneous Neumann boundary conditions. We establish the existence of minimizers using new estimates involving th…
math.AP2026
A unified duality framework for barotropic, quantum and Korteweg fluids
Dmitry Vorotnikov
We investigate a dual variational formulation, in the spirit of Brenier, for several compressible fluid models: the compressible barotropic Euler system, the quantum Euler system,…