Convergence of Diffusion-Drift Many Particle Systems in Probability Under a Sobolev Norm

DOI10.1007/978-3-319-32144-8_10zbMath1349.35369OpenAlexW2481589468MaRDI QIDQ2832857

Yuan Zhang, Jian-Guo Liu

Publication date: 15 November 2016

Published in: From Particle Systems to Partial Differential Equations III (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.726.4706

zbMATH Keywords

martingale methodmany particle systemenergy-dissipation inequality

Mathematics Subject Classification ID

PDEs in connection with mechanics of particles and systems of particles (35Q70) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

• Propagation of chaos for the 2D viscous vortex model
• Hydrodynamics in two dimensions and vortex theory
• Quantitative concentration inequalities for empirical measures on non-compact spaces
• A random particle blob method for the Keller-Segel equation and convergence analysis
• Vortex Methods
• Convergence of the random vortex method
• Convergence of the Random Vortex Method in Two Dimensions
• The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems
• High-resolution simulations of the flow around an impulsively started cylinder using vortex methods
• Stochastic Calculus
• Unnamed Item
• Unnamed Item

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