In the present note, we address the question about behavior of L 3-norm of the velocity field as time t approaches blow-up time T. It is known that the upper limit of the above norm must be equal to infinity. We show that, for blow-ups of type I, the lower limit of L 3-norm equals to infinity as well.
CITATION STYLE
Seregin, G. (2011). A note on necessary conditions for blow-up of energy solutions to the navier-stokes equations. In Progress in Nonlinear Differential Equations and Their Application (Vol. 80, pp. 631–645). Springer US. https://doi.org/10.1007/978-3-0348-0075-4_31
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