The foundations of this outstanding book series were laid in 1944. Until the end of the
1970s, a total of 77 volumes appeared, including works of such distinguished …

Strong compactness results for families of functions in seminormed nonnegative cones in
the spirit of the Aubin-Lions-Dubinskiĭ lemma are proven, refining some recent results in the …

This paper explores two generalizations of the classical Aubin–Lions Lemma. First, we give
a sufficient condition to commute weak limit and multiplication of two functions. We deduce …

We propose a discrete functional analysis result suitable for proving compactness in the
framework of fully discrete approximations of strongly degenerate parabolic problems. It is …

We show the existence of global weak solutions to the three-dimensional compressible
primitive equations of atmospheric dynamics with degenerate viscosities. In analogy with the …

This work is devoted to establishing the local-in-time well-posedness of strong solutions to
the three-dimensional compressible primitive equations of atmospheric dynamics. It is …

This work concerns the zero Mach number limit of the compressible primitive equations. The
primitive equations with the incompressibility condition are identified as the limiting …

We prove the existence of the global weak entropy solution to the Doi–Saintillan–Shelley
model for active and passive rod-like particle suspensions, which couples a Fokker–Planck …

We propose in this work new systems of equations which we call p-Euler equations and p-
Navier–Stokes equations. p-Euler equations are derived as the Euler–Lagrange equations …

In the work, we consider the zero Mach number limit of compressible primitive equations in
the domain R 2× 2 T or T 2× 2 T. We identify the limit equations to be the primitive equations …