Analytical solutions to the Navier-Stokes equations for non-Newtonian fluid |
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Authors: | Ping Chen Ting Zhang |
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Institution: | [1]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [2]Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China |
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Abstract: | 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)|▿$
\vec u
$
\vec u
|
α
▿$
\vec u
$
\vec u
). |
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Keywords: | blowup solution pressureless Navier-Stokes equation non-Newtonian fluid |
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