Existence and stability of global solutions to a regularized Oldroyd-B model in its vorticity formulation

@article{Jaracz2022ExistenceAS,
  title={Existence and stability of global solutions to a regularized Oldroyd-B model in its vorticity formulation},
  author={Jaroslaw S. Jaracz and Young Ju Lee},
  journal={Journal of Differential Equations},
  year={2022}
}
The Global Existence of Solutions to a Quasi-Relativistic Incompressible Navier-Stokes Model
. We introduce a new modified Navier-Stokes model in 3 dimensions by modifying the convection term in the ordinary Navier-Stokes equations. This is done by replacing the convective term ( u · ∇ ) u by

References

SHOWING 1-10 OF 28 REFERENCES
Existence and approximation of a (regularized) Oldroyd-B model
Two finite element approximations of the Oldroyd-B model for dilute polymeric fluids are considered, in bounded 2- and 3-dimensional domains, under no flow boundary conditions. The pressure and the
Existence of Global Weak Solutions to Some Regularized Kinetic Models for Dilute Polymers
TLDR
The existence of global-in-time weak solutions to the model for a general class of spring-force-potentials including, in particular, the widely used finitely extensible nonlinear elastic (FENE) potential is established.
Existence of global weak solutions for some polymeric flow models
We study the existence of global-in-time weak solutions to a coupled microscopic–macroscopic bead-spring model which arises from the kinetic theory of diluted solutions of polymeric liquids with
EXISTENCE OF GLOBAL WEAK SOLUTIONS TO DUMBBELL MODELS FOR DILUTE POLYMERS WITH MICROSCOPIC CUT-OFF
We study the existence of global-in-time weak solutions to a coupled microscopic–macroscopic bead-spring model with microscopic cut-off, which arises from the kinetic theory of dilute solutions of
Global existence, uniqueness and optimal solvers of discretized viscoelastic flow models
This paper is devoted to studying the well-posedness and optimal solution techniques for a full discretization scheme, proposed by Lee and Xu (2006), for a large class of viscoelastic flow models. By
Numerical approximation of corotational dumbbell models for dilute polymers
We construct a general family of Galerkin methods for the numerical approximation of weak solutions to a coupled microscopic-macroscopic bead-spring model that arises from the kinetic theory of
Emergence of singular structures in Oldroyd-B fluids
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. These
Global Solutions for Incompressible Viscoelastic Fluids
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 viscoelastic
...
1
2
3
...