The Semigeostrophic Equations Discretized in Reference and Dual Variables
نویسندگان
چکیده
منابع مشابه
The Semigeostrophic Equations Discretized in reference and dual variables
We study the evolution of a system of n particles {(xi, vi)} n i=1 in IR . That system is a conservative system with a Hamiltonian of the form H[μ] = W 2 2 (μ, ν n), where W2 is the Wasserstein distance and μ is a discrete measure concentrated on the set {(xi, vi)} n i=1. Typically, μ(0) is a discrete measure approximating an initial L density and can be chosen randomly. When d = 1, our results...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2006
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-006-0040-6