NONUNIQUENESS OF LERAY-HOPF SOLUTIONS FOR A DYADIC MODEL

摘要

The dyadic model (u)over dot(n) + lambda(2n)u(n) - lambda(beta n)u(n-1)(2) + lambda(beta(n+1))u(n)u(n+1) = f(n), u(n)(0) = 0, is considered. It is shown that in the case of nontrivial right-hand side the system may have two different Leray-Hopf solutions.