About the barotropic compressible quantum Navier-Stokes equations

Time evolution of each profile, construction of an approximate solution In this section we shall construct an approximate solution to the Navier-Stokes equations by evolving in

In this note, we show a global weak existence result for a two dimensionnal Compressible Primitive Equations for atmosphere dynamics modeling.. Keywords: Atmosphere modelling, a

In this article we want to study some problems related with the role of the pressure in the partial regularity theory for weak solutions of the Navier–Stokes equations.. Before

§5, existence of very weak solution for the Navier-Stokes system is obtained, using a fixed point technique over the Oseen system, first for the case of small data and then

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

variant of a result of De Lellis and Székelyhidi [11] (cf. Remark 3.2 below) and show the existence of infinitely many global-in-time 3 weak solutions to the problem (1.1)–(1.6) for

The proof is based on the weighted estimates of both pressure and kinetic energy for the approximate system which result in some higher integrability of the density, and the method

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