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math.AP2013
Asymptotic equivalence of the discrete variational functional and a rate-large-deviation-like functional in the Wasserstein gradient flow of the porous medium equation
Manh Hong Duong
In this paper, we study the Wasserstein gradient flow structure of the porous medium equation. We prove that, for the case of -Gaussians on the real line, the functional derived…
math.AP2013★ 64 cited
GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles
Manh Hong Duong, Mark A. Peletier, Johannes Zimmer
In this paper we discuss the connections between a Vlasov-Fokker-Planck equation and an underlying microscopic particle system, and we interpret those connections in the context of…