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Artículo
On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier
(Elsevier Inc., 2021)
In this paper we use the orbital normal form of the nondegenerate Hopf-zero singularity to obtain necessary conditions for the existence of first integrals for such singularity. Also, we analyze the relation between the ...
Artículo
On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
(Elsevier, 2021-11)
The kinetic energy of a flow is proportional to the square of the L2(Ω) norm of the velocity. Given a sufficient regular velocity field and a velocity finite element space with polynomials of degree r , then the best ...