Viscosity solutions of dynamic-programming equations for the optimal control of the two-dimensional Navier-Stokes equations

被引：19
|
作者：
Gozzi, F
Sritharan, SS
Swiech, A
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat Decis Econ Finanziarie & Ass, I-00161 Rome, Italy
[2] Space & Naval Warfare Syst Ctr, San Diego, CA 92152 USA
[3] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2002年 / 163卷 / 04期
关键词：
D O I：
10.1007/s002050200203
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the infinite-dimensional Hamilton-Jacobi equation associated with the optimal feedback control of viscous hydrodynamics. We resolve the global unique solvability problem of this equation by showing that the value function is the unique viscosity solution.
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页码：295 / 327
页数：33
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