ON STOKES’ PROBLEMS FOR FLUIDS OF BRINKMAN TYPE

Keywords Vector penalty-projection method · divergence-free penalty-projection · penalty method · splitting prediction-correction scheme · fast Helmholtz-Hodge decompositions

We propose an unconditionally stable low-order finite element approach, which is robust with respect to the whole range of physical parameters, and is based on the combination

In the context of semi-classical defect measure, the classical theorem of Melrose- Sj¨ ostrand about propagation of singularities ([12],[13]) for hyperbolic equation can be rephrased

or the Beam equation, the condition for the k-summability or the Borel summability was obtained by Miyake [Miy] and the integral representation of the Borel sum was

Thus, roughly speaking, Theorem 2 extends the uniqueness results of Prodi, Serrin, Sohr and von Wahl to some classes of weak solutions which.. are more regular in

Under reasonable assumptions on the growth of the nonhomogeneous term, we obtain the asymptotic behavior of the solutions.. as t --~

Let us recall some known results on the asymptotic expansions and the normal form of the regular solutions to the Navier–Stokes equations (see [5–7,10] for more details)...

Keywords: Navier–Stokes equations; Uniqueness; Weak solution; Fourier localization; Losing derivative estimates.. In three dimensions, however, the question of regularity and