Existence and Uniqueness of Strong Solution for Shear Thickening Fluids of Second Grade
Existence and Uniqueness of Strong Solution for Shear Thickening Fluids of Second Grade
关键词
增稠
剪切
周期性边界条件
强解
液体
广义二阶流体
解的存在性
运动方程
Non-Newtonian fluids
generalized second grade fluids
shear rate dependent viscosity
existence
uniqueness
strong solution.
参考文献30
-
1Malek J., Neaas J., Rajagopal K. R., Global analysis of the flows of fluids with shear and pressure dependent viscosities. Arch. Rachion. Mech. Anal., 165 (2002), 243-269.
-
2Mulek J., Rajagopal K. R., Mathematical issues concerning the Navier- Stokes equations and some of its generalizations. In Handbook of differ equ., Evolut. Equ., 2, Elsevier/North- Holland, Amsterdam, (2005), 371-459.
-
3Malek J., Rajagopal K. R., Mathematical properties of the solutions to the equations gover- ing the flow of fluid with pressure and shear rate dependent viscosities. In Handbook of Mathem. Fluid Dyn., 4, Elsevier/North-Holland, Amsterdam, (2007), 407-444.
-
4Dunn J. E., On the free energy and stability of nonlinear fluids. Journal of Rhealogy, 26 (1982), 43-68.
-
5Man C. S., Shields D. H., Kjartanson B., Sun Q. K., Creep of ice as a fluid of complexity 2: the pressuremeter problem. Proceedings of the 10th Canadian Congress of Applied Mechanics, The University of Western Ontario, London, 1985.
-
6Kjartanson B. H., Shields D. H., Domaschuk L., Man C. S., Creep of ice measured with the pressuremeter. Canadian Geotechnical Journal, 25 (1988), 250-261.
-
7Man C. S., Nonsteady channel flow of ice as a modified second-order fluid with power-law viscosity. Arch. Ration. Mech. Anal., 119 (1992), 35-57.
-
8Man C. S., Sun Q. K., On the significance of normal stress effects in the flow of glaciers. J. Glaciology, 33 (1987), 268-273.
-
9Man C. S., Massoudi M., On the thermodynamics of some generalized second-grade fluids. Continuum Mech. Thermodyn., 22 (2010), 27-46.
-
10Massoudi M., Vaidya A., On some generalisations of the second grade fluid model. Nonlinear Anal. RWA, 9 (2008), 1169-1183.
-
1王素云,牟录贵,张艳红.广义Kuramoto-Sivashinsky方程强解的全局吸引子的存在性(英文)[J].Chinese Quarterly Journal of Mathematics,2008,23(1):75-82.
-
2张艳,张敏,黄震.广义二阶流体的脉冲泊肃叶流动分析[J].工程科学学报,2016,38(7):1002-1007.
-
3庄平辉,刘青霞.加热下分数阶广义二阶流体的Rayleigh-Stokes问题的一种有效数值方法[J].应用数学和力学,2009,30(12):1440-1452. 被引量:4
-
4何光渝,黄军旗,刘慈群.广义二阶流体管内轴向流动[J].应用数学和力学,1995,16(9):767-773. 被引量:4
-
5谭文长,鲜峰,魏兰.广义二阶流体非定常Couette流动的精确解[J].科学通报,2002,47(16):1226-1228. 被引量:9
-
6徐明瑜,谭文长.广义二阶流体分数阶反常扩散速度场、应力场及涡旋层的理论分析[J].中国科学(A辑),2001,31(7):626-638. 被引量:19
-
7沈芳,谭文长,赵耀华,T.增冈隆士.广义二阶流体涡流速度的衰减和温度扩散[J].应用数学和力学,2004,25(10):1053-1060. 被引量:8
-
8Francesca CRISPO.On the Regularity of Shear Thickening Viscous Fluids[J].Chinese Annals of Mathematics,Series B,2009,30(3):273-280. 被引量:4
-
9A.Mahmood,C.Fetecau,N.A.Khan,M.Jamil.Some exact solutions of the oscillatory motion of a generalized second grade fluid in an annular region of two cylinders[J].Acta Mechanica Sinica,2010,26(4):541-550. 被引量:4
-
10邓仲勋.硅烷偶联剂对银掺扎二氧化硅颗粒的形貌及结构的影响[J].价值工程,2013,32(14):309-310. 被引量:2