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Results tagged with uniqueness-theorems
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user 3948
1
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A simple question on the Navier-Stokes system
As how you formulated: no.
Let $a = (0,0,0)$. Then $v \equiv (0,0,0)$ and $p_v\equiv 0$ solves the Navier-Stokes equation, as does $w = (t,0,0)$ and $p_w \equiv -x_1$.
(This is a bit fake since $p_w$ …
- 39k
31
votes
Accepted
Has it been proved that weak solutions to the Navier-Stokes equations are non-unique, and do...
In regards to the question of the "consensus" or "correctness", I will only point out that Tristan Buckmaster has had a proven record of studying nonuniqueness problems for low-regularity solutions in …
- 39k
1
vote
Reference request: uniqueness for a certain PDE systems
Let's try energy estimates (I'll assume constant coefficients, but variable coefficients shouldn't give too much trouble).
Since you are interested in uniqueness, we take two different solutions to …
- 39k