41 citations · 55 across the 12 of their papers we have counts for
13 papers
Global Regularity to the liquid crystal flows of Q-tensor model
Z. Chen, E. Terraneo
In this paper we investigate a forced incompressible Navier-Stokes equation coupled with a parabolic type equation of Q-tensors in a domain In the case is bound…
Non-uniqueness of mild solutions for 2d-heat equations with singular initial data
Yohei Fujishima, Norisuke Ioku, Bernhard Ruf +1
In a recent article by the authors [15] it was shown that wide classes of semilinear elliptic equations with exponential type nonlinearities admit singular radial solutions on…
Singular solutions of semilinear elliptic equations with exponential nonlinearities in 2-dimensions
Yohei Fujishima, Norisuke Ioku, Bernhard Ruf +1
By introducing a new classification of the growth rate of exponential functions, singular solutions for semilinear elliptic equations in 2-dimensions with exponential nonlinearitie…
Fokker-Planck equations and one-dimensional functional inequalities for heavy tailed densities
Giulia Furioli, Ada Pulvirenti, Elide Terraneo +1
We study one-dimensional functional inequalities of the type of Poincaré, logarithmic Sobolev and Wirtinger, with weight, for probability densities with polynomial tails. As main e…
Non-Maxwellian kinetic equations modeling the evolution of wealth distribution
Giulia Furioli, Ada Pulvirenti, Elide Terraneo +1
We introduce a class of new one-dimensional linear Fokker--Planck type equations describing the evolution in time of the wealth in a multi-agent society. The equations are obtained…
Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities
Giulia Furioli, Ada Pulvirenti, Elide Terraneo +1
We study the rate of convergence to equilibrium of the solution of a Fokker--Planck type equation introduced by one of the authors in 2006 to describe opinion formation in a multi-…