Well-posedness for the stochastic 2D primitive equations with Lévy noise  

作　　者：SUN ChengFeng GAO HongJun 

机构地区：[1]Department of Applied Mathematics,Nanjing University of Finance and Economics [2]Jiangsu Provincial Key Laboratory for NSLSCS,School of Mathematical Sciences,Nanjing Normal University

出　　处：《Science China Mathematics》2013年第8期1629-1645,共17页中国科学：数学（英文版）

基　　金：supported in part by National Natural Science Foundation of China(Grant Nos. 11028102,11126303 and 11171158);Major Program of National Natural Science Foundation of China(Grant No. 91130005);National Basic Research Program of China (973 Program) (Grant No. 2013CB834100);Natural Science Foundation of Jiangsu Province (Grant No. BK2011777);Natural Science Foundation of Jiangsu Education Committee (Grant No. 11KJA110001);Qing Lan and "333" Project of Jiangsu Province

摘　　要：The two-dimensional primitive equations with Lévy noise are studied in this paper.We prove the existence and uniqueness of the solutions in a fixed probability space which based on a priori estimates,weak convergence method and monotonicity arguments.The two-dimensional primitive equations with L^vy noise are studied in this paper. We prove the existence and uniqueness of the solutions in a fixed probability space which based on a priori estimates, weak convergence method and monotonicity arguments.

关 键 词：primitive equation Levy noise existence and uniqueness 

分 类 号：O211.63[理学—概率论与数理统计] P40[理学—数学]