Bérenger's PML on Rectangular Domains for Pauli's Equations

We give some sufficient conditions in order that the uniqueness and comparison properties hold for the associated solutions; these conditions are expressed in terms of the moduli

This work is organized as follows: the concept of a weak entropy solution to (1)-(2) is defined in Section 2, 2.1 through an entropy inequality in the whole domain, the

Takada, Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type. Takada, Dispersive effects of the

The Cauchy problem for dissipative Ko- rteweg de Vries equations in Sobolev spaces of negative order. On the low regularity of the Korteweg-de

The functional framework that we shall adopt – Besov spaces embedded in the set C 0,1 of bounded globally Lipschitz functions – is motivated by the fact that the density and

The key point is that we cut the initial data into two parts : the first part being regular enough to apply theorem 3, and the second one being H ˙ 1 2 with small initial data, in

In this paper we give a class of hyperbolic systems, which includes systems with constant multiplicity but significantly wider, for which the initial boundary value problem (IBVP)

Finally, in Section 4, we show that once a solution to the reduced system has been obtained, our framework allows for the recovery of the Einstein vacuum equations, both for