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Analytical solutions to the Navier-Stokes equations for non-Newtonian fluid 被引量：1

Analytical solutions to the Navier-Stokes equations for non-Newtonian fluid
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摘要 The pressureless Navier-Stokes equations for non-Newtonian fluid are studied. The analytical solutions with arbitrary time blowup, in radial symmetry, are constructed in this paper. With the previous results for the analytical blowup solutions of the N-dimensional （N ≥ 2） Navier-Stokes equations, we extend the similar structure to construct an analytical family of solutions for the pressureless Navier-Stokes equations with a normal viscosity term （μ（ρ）｜ u｜^α u）. The pressureless Navier-Stokes equations for non-Newtonian fluid are studied. The analytical solutions with arbitrary time blowup, in radial symmetry, are constructed in this paper. With the previous results for the analytical blowup solutions of the N-dimensional （N ≥ 2） Navier-Stokes equations, we extend the similar structure to construct an analytical family of solutions for the pressureless Navier-Stokes equations with a normal viscosity term （μ（ρ）｜ u｜^α u）.
作者 CHEN Ping ZHANG Ting
机构地区 Department of Mathematics Center of Mathematical Sciences
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2009年第4期483-489,共7页 高校应用数学学报（英文版）（B辑）
基金 Supported by the NSFC of China (10871175 10931007 10901137) supported by the Scientific Research Fund of Education Department of Zhejiang Province (Y200803203)
关键词 blowup solution pressureless Navier-Stokes equation non-Newtonian fluid blowup solution, pressureless Navier-Stokes equation, non-Newtonian fluid
分类号 O357.1 [理学—流体力学] O373 [理学—流体力学]
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参考文献10

  • 1Chen G Q, Wang D H. The cauchy problem for the Euler equations for compressible fluids, Handbook of Mathematical Fluid Dynamics, Vol I, 421-543, Amsterdam: North-Holland, 2002.
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引证文献1

Applied Mathematics(A Journal of Chinese Universities)
2009年 第4期

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