Global Solution to the Incompressible Oldroyd-B Model in the Critical L p Framework: the Case of the Non-Small Coupling Parameter

R Zi, D Fang, T Zhang - Archive for Rational Mechanics and Analysis, 2014 - Springer
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 …

Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model

JW Barrett, Y Lu, E Süli - arXiv preprint arXiv:1608.04229, 2016 - arxiv.org
A compressible Oldroyd--B type model with stress diffusion is derived from a compressible
Navier--Stokes--Fokker--Planck system arising in the kinetic theory of dilute polymeric fluids …

The Cauchy problem for an Oldroyd-B model in three dimensions

W Wang, H Wen - Mathematical Models and Methods in Applied …, 2020 - World Scientific
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 …

Pointwise space-time estimates of compressible Oldroyd-B model

Y Li, Z Wu - Journal of Differential Equations, 2023 - Elsevier
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 …

[HTML][HTML] Global well-posedness and decay rates for the three dimensional compressible Oldroyd-B model

Z Zhou, C Zhu, R Zi - Journal of Differential Equations, 2018 - Elsevier
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 …

[HTML][HTML] Incompressible limit of Oldroyd-B fluids in the whole space

D Fang, R Zi - Journal of Differential Equations, 2014 - Elsevier
This paper is dedicated to the study of compressible Oldroyd-B model in the framework of
critical spaces. We first prove the local well-posedness for the compressible Oldroyd-B …

Global wellposedness and large time behavior of solutions to the N-dimensional compressible Oldroyd-B model

X Zhai, Y Li - Journal of Differential Equations, 2021 - Elsevier
The purpose of this paper is to study the global wellposedness and large time behavior
results of strong solutions for the compressible Oldroyd-B model derived by Barrett, Lu, Süli …

Strong solutions of 3D compressible Oldroyd‐B fluids

D Fang, R Zi - Mathematical Methods in the Applied Sciences, 2013 - Wiley Online Library
This paper is concerned with a compressible viscoelastic fluids of Oldroyd‐B type. We prove
the existence of unique local strong solutions for all initial data satisfying some compatibility …

On flows of viscoelastic fluids of Oldroyd type with wall slip

C Le Roux - Journal of Mathematical Fluid Mechanics, 2014 - Springer
We consider the boundary-value problem for the steady isothermal flow of an
incompressible viscoelastic liquid of Oldroyd type in a bounded domain with a Navier type …

Low Mach number limit of inviscid Hookean elastodynamics

Q Ju, J Wang, X Xu - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
The low Mach number limit of inviscid Hookean elastodynamic equations is rigorously
proved in bounded domain, whole space and periodic domain, respectively. The uniform …