Water and air behave in a similar way and their flow can be described in a very accurate
way by the Navier–Stokes equations. Others fluids behave differently: they cannot be …

Consider a global well-posed problem for the incompressible Oldroyd-B model. It is shown
that this set of equations admits a unique global solution provided the initial horizontal …

This paper is dedicated to the global well-posedness issue of the incompressible Oldroyd-B
model in the whole space R^ d R d with d\geqq 2 d≧ 2. It is shown that this set of equations …

Consider the Cauchy problem for the incompressible Oldroyd-B model in. For the case,
global existence results for weak solutions were derived by Lions and Masmoudi (2000 …

In this work, we consider the Cauchy problem for a diffusive Oldroyd-B model in three
dimensions. Some optimal time-decay rates of the solutions are derived via analysis of …

Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling
parameters | Mathematische Annalen Skip to main content SpringerLink Account Menu Find a …

We consider an Oldroyd-B model which is derived in Ref. 4 [JW Barrett, Y. Lu and E. Süli,
Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B …

In this paper, we consider the Oldroyd-B model with stress tensor diffusion in R d with d≥ 2.
We first establish the global well-posedness of solutions to this model for small initial data (u …

In this paper, we investigate pointwise space-time behavior of the compressible Oldroyd-B
model in R 3 based on Green's function method. We first give the representations of two …

In this paper, we are concerned with the global well-posedness and decay rates of strong
solutions for the three-dimensional compressible Oldroyd-B model. We prove that this set of …