一维辐射流体力学方程组整体弱熵解的存在性  

The Existence of Global Entropy Solutions to the One-dimensional Equations in Radiation Hydrodynamics

作　　者：周玉磊 蒋鹏 ZHOU Yulei;JIANG Peng(College of Science,Hohai University,Jiangsu Nanjing 211100,China)

机构地区：[1]河海大学理学院,江苏南京211100

出　　处：《河北师范大学学报（自然科学版）》2018年第4期284-293,共10页Journal of Hebei Normal University：Natural Science

基　　金：中央高校业务费(2016B07214)

摘　　要：证明了一维可压辐射流体力学方程组L~∞整体弱熵解的存在性.利用Godunov差分格式来构造近似解序列,并利用补偿列紧方法证明在包含真空以及任意大小初值的条件下该整体弱熵解的存在性.We prove the existence of global entropy solutions in L~∞ to the one-dimensional compressible fluids in radiation hydrodynamics.The global weak entropy solutions are constructed using the Godunov finite difference scheme.The global existence of weak entropy solutions in L∞with arbitrarily large initial data even containing the vacuum is established with the aid of the compensated compactness method.

关 键 词：辐射流体力学 整体弱熵解 Godunov格式 补偿列紧方法 

分 类 号：O175.29[理学—数学]