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Blow-Up for a Semi-linear Advection-Diffusion System with Energy Conservation |
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| Authors: | Dapeng Du Jing Lü |
| Affiliation: | 1. School of Mathematical Sciences,Fudan University,Shanghai 200433,China 2. Department of Mathematics,Shanghai Maritime University,Shanghai 200135,China |
| Abstract: | The authors study radial solutions to a model equation for the Navier-Stokes equations.It is shown that the model equation has self-similar singular solution if 5 ≤ n ≤9.It is also shown that the solution will blow up if the initial data is radial,large enough and n ≥ 5. |
| Keywords: | Navier-Stokes equations Self-similar singular solutions Blow-up |
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