A Class of Simple Blow-Up Solutions with Uniform Vorticity to Three-Dimensional Euler Epuations
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概要
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For a class of flows with uniform velocity gradients, the vorticity equation is reduced to an eigenvalue equation where vorticity serves as an eigenvector of therate-of-strain tensor. This class includes a solution in which the strain is constant andthe vorticity grows exponentially as exp ()t), with the initial ei(yenvalue )( >0). A caseof special interest is obtained when both the strain and the vorticity have the sametime-dependence, that is, they blow up as (1 -2t) at a finite tame. The blow-upproblem for passive scalar dyrtamics is also discussed.uniform vorticity, blow-up, alignment
- 社団法人日本物理学会の論文
- 1990-11-15
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