This book primarily concerns quasilinear and semilinear elliptic and parabolic partial
differential equations, inequalities, and systems. The exposition leads the reader through the …

The validity of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes
equations modeling viscous incompressible flows converge to solutions of the Euler …

We study the weak boundary layer phenomenon of the Navier–Stokes equations with
generalized Navier friction boundary conditions, u⋅ n= 0,[S (u) n] tan+ Au= 0, in a bounded …

This paper concerns the 3-dimensional Lagrangian Navier–Stokes α model and the limiting
Navier–Stokes system on smooth bounded domains with a class of vorticity-slip boundary …

In this paper we are concerned with the initial boundary value problem for the micropolar
fluid system in nonsmooth domains with mixed boundary conditions. The considered …

The focus of this paper is on the analysis of the boundary layer and the associated vanishing
viscosity limit for two classes of flows with symmetry, namely, Plane-Parallel Channel Flows …

We consider the 3D Navier–Stokes equation with generalized impermeability boundary
conditions. As auxiliary results, we prove the local in time existence of a strong solution …

We derive a class of energy preserving boundary conditions for incompressible Newtonian
flows and prove local-in-time well-posedness of the resulting initial boundary value …

We construct two numerical methods for solving nonlinear functional Fredholm integral
equations and compare their accuracy and computational costs. First, the nonlinear integral …

We study the initial-boundary value problem of the Navier-Stokes equations for
incompressible fluids in a general domain in ℝn with compact and smooth boundary, subject …