Correct answer is (d) It is bilinear in both w and v

Explanation: The complete variational problem of the viscous fluid flow equation is Bt(w,v)+Bv(w,v)-B̅p(w,P)=l(w) and –Bp(w3, v)=0. The term, Bv(v,w) is linear in both v and w, it is symmetric because it contains the symmetric matrix, C. Thus Bv(w,v)= B(v,w). The variational problem Bv(v,w)=l(w) is a constrained problem.