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arxiv: 1806.05018 · v1 · pith:WM2MFYT2new · submitted 2018-06-13 · 🧮 math.PR

Dean-Kawasaki Dynamics: Ill-posedness vs. Triviality

classification 🧮 math.PR
keywords dean-kawasakisolutionadmitscasedynamicsgivenill-posednessinteger
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We prove that the Dean-Kawasaki SPDE admits a solution only in integer parameter regimes, in which case the solution is given in terms of non-interacting particles.

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