BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Steady states of maximal entropy under prescribed mass and energy (with D. Bartolucci) Wolansky, Gershon

Description

We consider a non-local elliptic equation of exponential nonlinearity. The motivation for this equation is a variational problem for entropy maximization under prescribed mass and energy. We provide an unconditional existence and uniqueness proof in case of electrostatic (repulsive) self-interaction, and conditional existence and uniqueness in dimension two in the case of gravitational (attractive) self-interaction.

Item Media

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International