This article is cited in 10 papers

Example of nonuniqueness in the Hopf class of weak solutions for the Navier–Stokes equations

O. A. Ladyzhenskaya


Abstract: 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.

UDC: 517.9:532

MSC: 35Q30, 35K15, 35K20

Received: 10.10.1968

 English version: Mathematics of the USSR-Izvestiya, 1969, 3:1, 229–236

Bibliographic databases:

• 
•