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The Probabilistic Method and large initial data for Generalized Navier-Stokes systems
In this paper we introduce a probabilistic approach to show the existence of
initial data with arbitrarily large ,
and -norms for which a
Generalized Navier-Stokes system generate a global regular solution. More
precisely, we show that from a certain family of possible large initial data
most of them give raise to global regular solutions to a given Generalized
Navier-Stokes system.Comment: 21 pages. A better discussion on the probabilistic setting has been
included. Conditions on the initial data, as the divergence free condition
and real-valuedness, have been taken care of. A section on how the arguments
can be generalized has been adde