93 citations · 187 across the 31 of their papers we have counts for
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The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness
Manuel V. Gnann, Mircea Petrache
We consider the thin-film equation in physical space dimensions (i.e., one dimension in time and two lateral dimens…
Coefficient groups inducing nonbranched optimal transport
Mircea Petrache, Roger Züst
In this work we consider an optimal transport problem with coefficients in a normed Abelian group , and extract a purely intrinsic condition on that guarantees that the opti…
Equality of the Jellium and Uniform Electron Gas next-order asymptotic terms for Coulomb and Riesz potentials
Codina Cotar, Mircea Petrache
We consider two sharp next-order asymptotics problems, namely the asymptotics for the minimum energy for optimal point configurations and the asymptotics for the many-marginals Opt…
Next-order asymptotic expansion for N-marginal optimal transport with Coulomb and Riesz costs
Codina Cotar, Mircea Petrache
Motivated by a problem arising from Density Functional Theory, we provide the sharp next-order asymptotics for a class of multimarginal optimal transport problems with cost given b…