44 citations · 145 across the 27 of their papers we have counts for
3 papers · 1 filter
A new multicomponent Poincaré-Beckner inequality
S. Kondratyev, L. Monsaingeon, D. Vorotnikov
We prove a new vectorial functional inequality of Poincaré-Beckner type. The inequality may be interpreted as an entropy-entropy production one for a gradient flow in the metric sp…
A fitness-driven cross-diffusion system from polulation dynamics as a gradient flow
Stanislav Kondratyev, Léonard Monsaingeon, Dmitry Vorotnikov
We consider a fitness-driven model of dispersal of interacting populations, which was previously studied merely in the case . Based on some optimal transport distance rece…
On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing
V. B. Surya Prasath, D. Vorotnikov
Variable exponent spaces have found interesting applications in real world problems. Recently, there have been considerable interest in utilizing variational and evolution problems…