Wyniki wyszukiwania

1

A short note on regularity criteria for the Navier-Stokes equations containing the velocity gradient

100%

Pokorný M.

Banach Center Publications

|

2005

|

tom 70

|

nr 1

199-207

EN

We review several regularity criteria for the Navier-Stokes equations and prove some new ones, containing different components of the velocity gradient.

2

On the local strong solutions for a system describing the flow of a viscoelastic fluid

63%

Kreml O., Pokorný M.

Banach Center Publications

|

2009

|

tom 86

|

nr 1

195-206

EN

We consider a model for the viscoelastic fluid which has recently been studied in [4] and [1]. We show the local-in-time existence of a strong solution to the corresponding system of partial differential equations under less regularity assumptions on the initial data than in the above mentioned papers. The main difference in our approach is the use of the $L^p$ theory for the Stokes system.

3

On the global existence for a regularized model of viscoelastic non-Newtonian fluid

51%

Kreml O., Pokorný M., Šalom P.

Colloquium Mathematicum

|

2015

|

tom 139

|

nr 2

149-163

EN

We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like $μ(D) ∼ |D|^{p-2}$ (p > 6/5), regularized by a nonlinear stress diffusion. Using the Lipschitz truncation method we prove global existence of a weak solution to the corresponding system of partial differential equations.

Ograniczanie wyników

2 Banach Center Publications

1 Colloquium Mathematicum

3 Pokorný M.

2 Kreml O.

1 Šalom P.

1 2015

1 2009

1 2005

A short note on regularity criteria for the Navier-Stokes equations containing the velocity gradient

On the local strong solutions for a system describing the flow of a viscoelastic fluid

On the global existence for a regularized model of viscoelastic non-Newtonian fluid