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However, the issue of regularity and uniqueness of such a given weak solution remains a challenging open problem.
Our next goal is to illustrate the issue of regularity of a model by providing a simple, albeit admittedly artificial, example of a model, which is not regular.
Besides the amount of income, other considerations are important, namely the issue of regularity of payment.
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The issues of regularity and non-existence of solutions are studied in [15 19].
One needs first to address the issues of regularity and completeness of market models with default times.
There are numerous important progresses on the fundamental issue of the regularity for the weak solution to MHD systems (see [15 23]).
There are numerous important progresses on the fundamental issue of the regularity for the weak solution to (1.1), (1.2) (see [21 28] and [29 32]).
There are numerous important progresses on the fundamental issue of the regularity for the weak solution to (1.1), (1.2) (see [6 18]).
end{aligned}The global existence of a weak solution to the evolutionary NSE (1) has been long established by Leray [19] and Hopf [9]; however, the issue of its regularity and uniqueness remains open up to now.
If the causal relation is a mere matter of regularity, why can't the regularities hold between facts?
We construct solutions that do not vanish, so as to avoid any issue related to the lack of regularity of the nonlinearity at u="0.
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