RELATIVE ENTROPY AND COMPRESSIBLE POTENTIAL FLOW

• 作 者: Volker ELLING
• 机 构: DepartmentofMathematics
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2015年4期
• 关键词: 相对熵 可压缩 势流 能量守恒定律 一阶系统 空间维度 欧拉方程 光滑解 potential flow entropy relative entropy sho
• 基金项目: This material is based upon work partially supported by the National Science Foundation under Grant No. NSF DMS-1054115 and by a Sloan Foundation Research Fellowship.

Compressible(full) potential flow is expressed as an equivalent first-order system of conservation laws for density ? and velocity v. Energy E is shown to be the only nontrivial entropy for that system in multiple space dimensions, and it is strictly conv