2 research outputs found
A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
Global existence and long-time behavior of solutions to a family of nonlinear
fourth order evolution equations on are studied. These equations
constitute gradient flows for the perturbed information functionals with
respect to the -Wasserstein metric. The value of ranges from
, corresponding to a simplified quantum drift diffusion model, to
, corresponding to a thin film type equation.Comment: 33 pages, no figure