Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663928 | Acta Mathematica Scientia | 2013 | 9 Pages |
Abstract
The gradient blowup of the equation ut = Δu + a(x)|∇u|p + h(x), where p > 2, is studied. It is shown that the gradient blowup rate will never match that of the self-similar variables. The exact blowup rate for radial solutions is established under the assumptions on the initial data so that the solution is monotonically increasing in time.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)