Stochastic solutions of some nonlinear partial differential equations

被引：6
作者：
Vilela Mendes, R. [1 ,2 ]
机构：
[1] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal
[2] EURATOM IST Assoc, Inst Super Tecn, Ctr Fusao Nucl, P-1049001 Lisbon, Portugal
来源：
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES | 2009年 / 81卷 / 3-4期
关键词：
stochastic solutions; KPP; superprocesses; Navier-Stokes; Poisson-Vlasov; NAVIER-STOKES EQUATIONS; POISSON-VLASOV; REPRESENTATION; PROBABILITY; CASCADES;
D O I：
10.1080/17442500903080389
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stochastic construction of solutions for nonlinear partial differential equations is discussed. The technique provides new exact solutions and efficient numerical codes for localized solutions and parallel computing. A brief review of known solutions and some new results for the Poisson-Vlasov and Euler equations are included.
引用
收藏
页码：279 / 297
页数：19
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