渗流方程第一边值问题解的守恒律
The Conservation Law of the First Boundary Value Problem of Infiltration Equation
摘要
运用取特殊检验函数的方法,建立了渗流方程第一边值问题解的守恒律.
By using the special test function, we discuss the establishing of conservation law of the first boundary value problem of infiltration.
出处
《天中学刊》
2005年第5期3-4,共2页
Journal of Tianzhong
关键词
渗流方程
守恒律
捡验函数
infiltration
conservation law
test function
参考文献3
-
1An Lian Jun.Some properties of the solution of a filtration problem in partially saturated[J].porous media,Acta Math Appl Sinica(English Series),1984,(1):44～56
-
2师建国,赵占平.渗流方程的第二边值问题[J].河南科学,2003,21(4):379-384. 被引量：3
-
3师建国,赵占平.渗流方程的第一边值问题[J].河南科学,2004,22(5):583-588. 被引量：2
二级参考文献17
-
1Van Duyn CJ.Nonstationary filtration in partially Saturated. porous media: Continuity of the free boundary[J]. Arch Rat Mech Anal, 1982,19(3):261-265.
-
2Van Duyn CJ. Hulshof J. An elliptic-parabolic problem with a non-local boundary condition[J]. Arch Rat Mech Anal,1987,99(1):61-73.
-
3An LianJun; some Properties of the solution of a filtration problem in partially saturated porous media[J].Acta Math Appl Sinica(English series),1984,1(1):44-56.
-
4An LianJun. The infiltration problem with Large constant surface flux in partially saturated porous media[J].Acta Math Appl Sinica(English series),1985,2(4):332-345.
-
5Li JianGuo,Su Ning.The solution of an infiltration problem with ponded surface,flux condition[J].Acta. Math Appl Sinica (English series),1985,2(1):54-65.
-
6Su Ning, Li JianGuo. The boundary value problems for the filtration equation in partially saturated porous media[J].Acta Math Appl sinica(English series), 1984,1(2):180-192.
-
7Xiao ShuTie, Huang ZhiDa, Zhou ChuanZhong. The infiltration problem with constant rate in partially saturated porous \{media[J].\} Acta Math Appl Sinica (English series),1984,1(2):108-126.
-
8LadyzensKaja O A,Solonnikov V A, Ural' ceva N N. Linear and Quasilinear Equation of parabolic Type, Translation of Mathematical Monographs, volume 23[M]. providence, RI.American Mathematical society,1968.
-
9Su Ning, Li JianGuo. The boundary value problems for the filtration equation in partially saturated porous media[J]. Acta Math Appl sinica(English series), 1984, 1(2):180-192.
-
10Xiao ShuTie, Huang ZhiDa, Zhou ChuanZhong. The infiltration problem with constant rate in partially saturated porous media[J]. Acta Math Appl Sinica(English series), 1984, 1(2):108-126.
-
1张培欣.具有源的牛顿渗流方程解的存在性的一些补充[J].华侨大学学报（自然科学版）,2013,34(1):118-120.
-
2曹镇潮.渗流方程Cauchy问题的非全局解[J].厦门大学学报（自然科学版）,1992,31(3):230-232.
-
3张洪斌.求解渗流方程反问题的数值方法[J].华北工学院学报,2001,22(5):376-377.
-
4林丽容,潘佳庆,梁宗旗.渗流方程反问题解的存在唯一性及稳定性[J].厦门理工学院学报,2012,20(4):50-54.
-
5张广献,师建国.含吸收项渗流方程的第一边值问题[J].河南大学学报（自然科学版）,1991,21(2):79-84.
-
6欧乾忠.关于共形海赛不等式不存在性的一个注记（英文）[J].数学进展,2017,46(1):154-158.
-
7柳彦军.一类拟线性椭圆方程正解的不存在性[J].南阳师范学院学报,2016,15(6):7-9.
-
8蒋兆龙.对U检验法使用的探讨[J].甘肃工业大学学报,1992,18(4):110-115.
-
9师建国,赵占平.渗流方程的第一边值问题[J].河南科学,2004,22(5):583-588. 被引量：2
-
10朱汉文,武靖千,张莉.基于MATLAB的双正态总体均值线性关系假设检验问题的探讨[J].电子测试,2017,28(2):44-44. 被引量：1
