The equations of motion of an incompressible, Newtonian fluid-usually called Navier-Stokes
equations-have been written almost one hundred eighty years ago. In fact, they were …

In the present paper we prove the existence of weak solutions u: Q → R^ n to the equations
of non-stationary motion of an incompressible fluid with shear rate dependent viscosity in a …

The purpose of this review is to give a broad outline of the dynamical systems approach to
the two‐dimensional Navier‐Stokes equations. This example has led to much of the theory …

[74] DA Vorotnikov, VG Zvyagin, On convergence of solutions of the regularized problem for
motion equations of Jeffreys viscoelastic medium to solutions of the original problem …

We review the modeling and mathematical properties of compressible viscous flows,
ranging from single‐phase systems to two‐phase systems, with a focus on the occurrence of …

In this paper we investigate a new class of elliptic variational–hemivariational inequalities
without the relaxed monotonicity condition of the generalized subgradient. The inequality …

We show the existence of global-in-time weak solutions to a general class of coupled FENE-
type bead-spring chain models that arise from the kinetic theory of dilute solutions of …

Let Ω be a three-dimensional exterior domain of class C 2, α, 0< α< 1. Assume that a Navier-
Stokes liquid is moving in Ω under the action of a body force F that is time-periodic of period …

A mathematical analysis of local and nonlocal phase-field models of tumor growth is
presented that includes time-dependent Darcy–Forchheimer–Brinkman models of …

We prove the existence and uniqueness of solutions for a stochastic version of the three-
dimensional Lagrangian averaged Navier–Stokes equation in a bounded domain. To this …