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math.AP2026
Evolution of viscous vortex filaments and soliton-type propagation
Marco A. Fontelos, Mikel Ispizua, Luis Vega
We study the evolution of a viscous incompressible fluid whose initial vorticity is supported on a smooth open curve. We show that, for and sufficiently small Reynolds n…
math.AP2024
Spectral properties of Lévy Fokker--Planck equations
Hardy Chan, Marco A. Fontelos, MarÃa del Mar González
Hermite polynomials, which are associated to a Gaussian weight and solve the Laplace equation with a drift term of linear growth, are classical in analysis and well-understood via…
math.AP2024
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory
Marco Antonio Fontelos, Francesco Salvarani, Nastassia Pouradier Duteil
In this article, we study the long-time asymptotic properties of a non-linear and non-local equation of diffusive type which describes the rock-paper-scissors game in an interconne…