OALib Journal期刊
ISSN: 2333-9721
费用:99美元
|
|
|
辐射流体动力学模型局部光滑解的存在性
Keywords: 辐射流体动力学,Cauchy问题,光滑解,局部存在性
Abstract:
主要研究了一个与辐射传输方程耦合的带积分源项的非等熵流体动力学模型.运用经典的迭代方法、能量估计方法和压缩映像原理等严格证明了该模型Cauchy问题局部光滑解的存在性.
References
[1] | Mihalas D, Mihalas B W. Foundations of Radiation Hydrodynamics\[M\]. New York,Oxford:Oxford Univ Press,1984.
|
[2] | Pomraning G C. The Equations of Radiation Hydrodynamics\[M\]. Oxford,New York:Pergamon Press,1973.
|
[3] | Benzoni-Gavage S, Denis S. Hyperbolic Problems: Theory, Numerics, Applications\[M\]. Berlin,Heidelberg:Springer-Verlag,2008.
|
[4] | 田有先,胡晓力. p-凸度量空间更广义拟压缩映射不动点迭代\[J\]. 四川师范大学学报:自然科学版,2006,29(3):288-293.
|
[5] | Anile A M, Blokhin A M, Trakhinin Y L. Investigation of a mathematical model for radiation hydrodynamics\[J\]. Zangew Math Phys,1999,50:677-697.
|
[6] | Wang J, Xie F. Global existence of strong solutions to the Cauchy problem for a 1D radiative gas\[J\]. J Math Anal Appl,2008,346:314-326.
|
[7] | 丁协平. 局部FC-空间内Himmelberg型不动点定理的推广(英)\[J\]. 四川师范大学学报:自然科学版,2006,29(1):1-6.
|
[8] | Zhong X H, Jiang S. Local existence and finite-time blow-up in multidimensional radiation hydrodynamics\[J\]. J Math Fluid Mech,2007, 9:543-564.
|
[9] | 闻国椿. 二阶退化双曲型方程的Cauchy问题(英)\[J\]. 四川师范大学学报:自然科学版,2006,29(2):127-134.
|
[10] | Courant R, Hilbert D. Methods of Mathematical Physics\[M\]. New York:Wiley-Interscience,1963.
|
Full-Text
|
|
Contact Us
service@oalib.com QQ:3279437679 
WhatsApp +8615387084133
|
|