112 citations · 445 across the 26 of their papers we have counts for
4 papers · 1 filter
Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation
Simon Eberle, Barbara Niethammer, André Schlichting
We consider a Fokker-Planck equation which is coupled to an externally given time-dependent constraint on its first moment. This constraint introduces a Lagrange-multiplier which r…
Macroscopic limit of the Becker-Döring equation via gradient flows
André Schlichting
This work considers gradient structures for the Becker-Döring equation and its macroscopic limits. The result of Niethammer [17] is extended to prove the convergence not only for s…
Convergence rates for upwind schemes with rough coefficients
André Schlichting, Christian Seis
This paper is concerned with the numerical analysis of the explicit upwind finite volume scheme for numerically solving continuity equations. We are interested in the case where th…
Gradient flow structure for McKean-Vlasov equations on discrete spaces
Matthias Erbar, Max Fathi, Vaios Laschos +1
In this work, we show that a family of non-linear mean-field equations on discrete spaces can be viewed as a gradient flow of a natural free energy functional with respect to a cer…