64 citations · 308 across the 37 of their papers we have counts for
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The spectrum of a family of fourth-order equations near the global attractor
Robert J. McCann, Christian Seis
The thin-film and quantum drift diffusion equations belong to a fourth-order family of evolution equations proposed in ref. 16 to be analogous to the (second-order) porous medium f…
A penalization approach to linear programming duality with application to capacity constrained transport
Jonathan Korman, Robert J. McCann, Christian Seis
A new approach to linear programming duality is proposed which relies on quadratic penalization, so that the relation between solutions to the penalized primal and dual problems be…
Maximal mixing by incompressible fluid flows
Christian Seis
We consider a model for mixing binary viscous fluids under an incompressible flow. We proof the impossibility of perfect mixing in finite time for flows with finite viscous dissipa…
Dual potentials for capacity constrained optimal transport
Jonathan Korman, Robert J. McCann, Christian Seis
Optimal transportation with capacity constraints, a variant of the well-known optimal transportation problem, is concerned with transporting one probability density $f \in L^1(\mat…
Long-time asymptotics for the porous medium equation: The spectrum of the linearized operator
Christian Seis
We compute the complete spectrum of the displacement Hessian operator, which is obtained from the confined porous medium equation by linearization around its stationary attractor,…