A Regularity Criterion for the Dissipative Quasi-Geostrophic Equations

In section 3, we study the regularity of solutions to the Stokes equations by using the lifting method in the case of regular data, and by the transposition method in the case of

Indeed, by assuming some local boundedness assumptions (in the sense of parabolic Morrey spaces) for weak solutions of the MHD equations it is possible to obtain a gain of reg-

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

the possibility of defining Kruzkov’s solutions for (BC) when the initial data (uo, vo) E depends on the L1 - regularizing effect for. homogeneous equations proved in

Instead of trying to localize the original proof in the global case given in [13], we will exploit the non-homogeneous div–curl structure of the leading order vortex-stretching term,

In Constantin, Córdoba and Wu [6], we proved in the critical case (α = 1 2 ) the global existence and uniqueness of classical solutions corresponding to any initial data with L ∞

In the related setting of quasiconformal mappings Pekka Koskela provided an example for which the Hölder regularity and the integrability of the gradient are not coupled by the

A priori regularity for weak solutions of some nonlinear elliptic equations.. Annales