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Diffusion approximation for the one dimensional BoltzmannPoisson system
Convergence analysis of the numerical method for the primitive equations formulated in mean vorticity on a Cartesian grid
1.  Department of Mathematics, University of Tennessee, Knoxville, TN 37996, United States 
[1] 
Cheng Wang. The primitive equations formulated in mean vorticity. Conference Publications, 2003, 2003 (Special) : 880887. doi: 10.3934/proc.2003.2003.880 
[2] 
Juan Li, Wenqiang Li. Controlled reflected meanfield backward stochastic differential equations coupled with value function and related PDEs. Mathematical Control & Related Fields, 2015, 5 (3) : 501516. doi: 10.3934/mcrf.2015.5.501 
[3] 
Josu Doncel, Nicolas Gast, Bruno Gaujal. Discrete mean field games: Existence of equilibria and convergence. Journal of Dynamics & Games, 2019, 6 (3) : 221239. doi: 10.3934/jdg.2019016 
[4] 
Bin Pei, Yong Xu, Yuzhen Bai. Convergence of pth mean in an averaging principle for stochastic partial differential equations driven by fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2020, 25 (3) : 11411158. doi: 10.3934/dcdsb.2019213 
[5] 
Chuchu Chen, Jialin Hong. Meansquare convergence of numerical approximations for a class of backward stochastic differential equations. Discrete & Continuous Dynamical Systems  B, 2013, 18 (8) : 20512067. doi: 10.3934/dcdsb.2013.18.2051 
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Evelyn Buckwar, Girolama Notarangelo. A note on the analysis of asymptotic meansquare stability properties for systems of linear stochastic delay differential equations. Discrete & Continuous Dynamical Systems  B, 2013, 18 (6) : 15211531. doi: 10.3934/dcdsb.2013.18.1521 
[7] 
Silvia SastreGomez. Equivalent formulations for steady periodic water waves of fixed meandepth with discontinuous vorticity. Discrete & Continuous Dynamical Systems, 2017, 37 (5) : 26692680. doi: 10.3934/dcds.2017114 
[8] 
Annalisa Cesaroni, Valerio Pagliari. Convergence of nonlocal geometric flows to anisotropic mean curvature motion. Discrete & Continuous Dynamical Systems, 2021 doi: 10.3934/dcds.2021065 
[9] 
Makram Hamouda, ChangYeol Jung, Roger Temam. Asymptotic analysis for the 3D primitive equations in a channel. Discrete & Continuous Dynamical Systems  S, 2013, 6 (2) : 401422. doi: 10.3934/dcdss.2013.6.401 
[10] 
ChangShou Lin. An expository survey on the recent development of mean field equations. Discrete & Continuous Dynamical Systems, 2007, 19 (2) : 387410. doi: 10.3934/dcds.2007.19.387 
[11] 
PierreEmmanuel Jabin. A review of the mean field limits for Vlasov equations. Kinetic & Related Models, 2014, 7 (4) : 661711. doi: 10.3934/krm.2014.7.661 
[12] 
Michael Herty, Lorenzo Pareschi, Sonja Steffensen. Meanfield control and Riccati equations. Networks & Heterogeneous Media, 2015, 10 (3) : 699715. doi: 10.3934/nhm.2015.10.699 
[13] 
Hayato Chiba, Georgi S. Medvedev. The mean field analysis of the Kuramoto model on graphs Ⅰ. The mean field equation and transition point formulas. Discrete & Continuous Dynamical Systems, 2019, 39 (1) : 131155. doi: 10.3934/dcds.2019006 
[14] 
Ruchika Sehgal, Aparna Mehra. Worstcase analysis of Gini mean difference safety measure. Journal of Industrial & Management Optimization, 2021, 17 (4) : 16131637. doi: 10.3934/jimo.2020037 
[15] 
Illés Horváth, Kristóf Attila Horváth, Péter Kovács, Miklós Telek. Meanfield analysis of a scaling MAC radio protocol. Journal of Industrial & Management Optimization, 2021, 17 (1) : 279297. doi: 10.3934/jimo.2019111 
[16] 
Y. Goto, K. Ishii, T. Ogawa. Method of the distance function to the BenceMerrimanOsher algorithm for motion by mean curvature. Communications on Pure & Applied Analysis, 2005, 4 (2) : 311339. doi: 10.3934/cpaa.2005.4.311 
[17] 
Oleksandr Misiats, Nung Kwan Yip. Convergence of spacetime discrete threshold dynamics to anisotropic motion by mean curvature. Discrete & Continuous Dynamical Systems, 2016, 36 (11) : 63796411. doi: 10.3934/dcds.2016076 
[18] 
Yufeng Shi, Tianxiao Wang, Jiongmin Yong. Meanfield backward stochastic Volterra integral equations. Discrete & Continuous Dynamical Systems  B, 2013, 18 (7) : 19291967. doi: 10.3934/dcdsb.2013.18.1929 
[19] 
Bixiang Wang. Meansquare random invariant manifolds for stochastic differential equations. Discrete & Continuous Dynamical Systems, 2021, 41 (3) : 14491468. doi: 10.3934/dcds.2020324 
[20] 
Wei Wang, Kai Liu, Xiulian Wang. Sensitivity to small delays of mean square stability for stochastic neutral evolution equations. Communications on Pure & Applied Analysis, 2020, 19 (4) : 24032418. doi: 10.3934/cpaa.2020105 
2019 Impact Factor: 1.27
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