Absence of the Local Existence Theorem in the Critical Space for the 3D-Navier-Stokes System
نویسنده
چکیده
We consider the 3D-Navier-Stokes system (NSS) on R3 without external forcing. After Fourier transform it becomes the system of non-linear integral equations. For one-parameter families of initial conditions A·c (0)(k) |k|2 it is known that if |A| is sufficiently small then NSS has global solution. We show that if c(0) satisfies some natural conditions at infinity then for sufficiently large A NSS has no local solutions with this initial condition.
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ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 15 شماره
صفحات -
تاریخ انتشار 2005