In this paper, we study a hydrodynamic system describing fluids with viscoelastic properties.
After a brief examination of the relations between several models, we shall concentrate on a …

We prove the existence of both local and global smooth solutions to the Cauchy problem in
the whole space and the periodic problem in the n-dimensional torus for the incompressible …

In this paper, we shall establish the local well‐posedness of the initial‐boundary value
problem of the viscoelastic fluid system of the Oldroyd model. We shall also prove that the …

In this paper, we will study the Oldroyd model describing fluids with viscoelastic properties.
Global classical solutions for the two-dimensional incompressible Oldroyd model with small …

The global solutions in critical spaces to the multi-dimensional compressible viscoelastic
flows are considered. The global existence of the Cauchy problem with initial data close to …

In this article, we study the Cauchy problem of the viscoelastic fluid system of Oldroyd model
in space dimension greater than 1. In particular, we prove that if the smooth solution (U, v) to …

One of the common origins and manifestations of anomalous phenomena in complex fluids
are different “elastic” effects. They can be the elasticity of deformable particles; elastic …

Numerical simulations reveal the formation of singular structures in the polymer stress field
of a viscoelastic fluid modeled by the Oldroyd-B equations driven by a simple body force …

The existence of global-in-time classical solutions to the Cauchy problem of compressible
magnetohydrodynamic flows with zero magnetic diffusivity is considered in two dimensions …

We prove that for sufficiently small initial displacements in some weighted Sobolev space,
the Cauchy problem of the systems of incompressible isotropic Hookean elastodynamics in …