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发汗冷却过程的非局域平衡模型
引用本文:周美珂 郇中丹. 发汗冷却过程的非局域平衡模型[J]. 北京师范大学学报(自然科学版), 1995, 31(1): 11-15
作者姓名:周美珂 郇中丹
作者单位:北京师范大学数学系
摘    要:建立了发汗冷却过程的非局域平衡模型,它是由1个二阶抛物型方程的2个一阶方程耦合而成的非线性偏微分方程组。证明了它的初边值解的存在唯一性。

关 键 词:非局域平衡 发汗冷却 热防护 数学模型

A NONLOCALLY-BALANCED MODEL FOR TRANSPIRATION COOLING PROCESS
Zhou Meike,Huan Zhongdan. A NONLOCALLY-BALANCED MODEL FOR TRANSPIRATION COOLING PROCESS[J]. Journal of Beijing Normal University(Natural Science), 1995, 31(1): 11-15
Authors:Zhou Meike  Huan Zhongdan
Abstract:A mathematical model for nonlocally-balanced transpiration cooling process is established.The model is described by a nonlinear partial differential system coupled by a second order parabolic partial differential equation and two first order partial differential equations.The existence and uniqueness results for generalized solutions to an initial boundary value problem of the system are also obtained.
Keywords:nonlocal balance  transpiration cooling  Sobolev spaces
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