The flow of a nonhomogeneous viscous incompressible fluid that is known at an initial time
t=0 is considered. Such a flow is described by partial differential equations for the velocity u …

COMPACT EMBEDDINGS OF VECTOR-VALUED SOBOLEV AND BESOV SPACES
Herbert Amann Universität Zürich, Switzerland 1. Introduction and Page 1 GLASNIK …

We study a diffuse interface model for the flow of two viscous incompressible Newtonian
fluids of the same density in a bounded domain. The fluids are assumed to be …

We consider stochastic differential equations (SDEs) driven by a fractional Brownian motion
with a drift coefficient that is allowed to be arbitrarily close to criticality in a scaling sense. We …

We are concerned with multidimensional stochastic balance laws. We identify a class of
nonlinear balance laws for which uniform spatial BV bound for vanishing viscosity …

We study a nonlinear, moving boundary fluid–structure interaction (FSI) problem between an
incompressible, viscous Newtonian fluid, modeled by the 2D Navier–Stokes equations, and …

We study finite-element-based space-time discretizations of the incompressible Navier–
Stokes equations with noise. In three dimensions, sequences of numerical solutions …

In this paper we give a simple proof of the existence of global-in-time smooth solutions for
the convective Brinkman–Forchheimer equations (also called in the literature the tamed …

We prove interior H^ 2 s-ε H 2 s-ε regularity for weak solutions of linear elliptic integro-
differential equations close to the fractional s-Laplacian. The result is obtained via …

Abstract We consider a Landau-Lifshitz-Gilber equation perturbed by a multiplicative space-
dependent noise for a ferromagnet filling a bounded three-dimensional domain. We show …