Geodesic
Example of nonuniqueness in the Hopf class of weak solutions for the Navier--Stokes equations
Izvestiya. Mathematics , Tome 3 (1969) no. 1, pp. 229-236.

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An example of nonuniqueness in the class of weak Hopf solutions is constructed for an initial-boundary value problem for the Navier–Stokes equations. An analogous example is also constructed for quasilinear parabolic equations. 
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O. A. Ladyzhenskaya. Example of nonuniqueness in the Hopf class of weak solutions for the Navier--Stokes equations. Izvestiya. Mathematics , Tome 3 (1969) no. 1, pp. 229-236. http://geodesic.mathdoc.fr/item/IM2_1969_3_1_a13/

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