Mean Field Limit of Interacting Filaments for 3D Euler Equations
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DOI: 10.1007/s10955-018-2189-4
Abstract: The 3D Euler equations, precisely local smooth solutions of class $$H^s$$Hs with $$s>5/2$$s>5/2 are obtained as a mean field limit of finite families of interacting curves, the so called vortex filaments, described by means of… read more here.
Keywords: euler equations; mean field; limit interacting; field limit ... See more keywords
A Mean Field Limit for the Hamiltonian Vlasov System
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DOI: 10.1007/s10955-019-02438-6
Abstract: The derivation of effective equations for interacting many body systems has seen a lot of progress in the recent years. While dealing with classical systems, singular potentials are quite challenging (Hauray and Jabin in Annales… read more here.
Keywords: vlasov system; mean field; field limit;
On the mean field limit of the Random Batch Method for interacting particle systems
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DOI: 10.1007/s11425-020-1810-6
Abstract: The Random Batch Method proposed in our previous work (Jin et al. J Comput Phys, 2020) is not only a numerical method for interacting particle systems and its mean-field limit, but also can be viewed… read more here.
Keywords: mean field; field limit; interacting particle;
Strong magnetic field limit in a nonlinear Iwatsuka-type model
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DOI: 10.1016/j.jde.2021.08.024
Abstract: We study the strong magnetic field limit for a nonlinear Iwatsukatype model, i.e. a nonlinear Schrödinger equation in two spatial dimensions with a magnetic vector potential that only depends on the x-coordinate. Using a high-frequency… read more here.
Keywords: limit nonlinear; model; strong magnetic; magnetic field ... See more keywords
Mean field limit of a behavioral financial market model
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DOI: 10.1016/j.physa.2018.03.079
Abstract: In the past decade there has been a growing interest in agent-based econophysical financial market models. The goal of these models is to gain further insights into stylized facts of financial data. We derive the… read more here.
Keywords: mean field; limit; financial market; model ... See more keywords
Brownian non-Gaussian polymer diffusion and queuing theory in the mean-field limit
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DOI: 10.1088/1367-2630/ac4924
Abstract: We link the Brownian non-Gaussian diffusion of a polymer center of mass (CM) to a microscopic cause: the polymerization/depolymerization phenomenon occurring when the polymer is in contact with a monomer chemostat. The anomalous behavior is… read more here.
Keywords: polymer; field limit; queuing theory; mean field ... See more keywords