Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling $\nu (p, \cdot ) \to + \infty $ as $p \to +\infty $

Title:

Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling $\nu (p, \cdot ) \to + \infty $ as $p \to +\infty $

Creator:

Bulíček, M., Málek, Josef, and Rajagopal, Kumbakonam R.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1a59f538-278f-4d00-a5cb-418a1316fbac
uuid:1a59f538-278f-4d00-a5cb-418a1316fbac

Subject:

existence, weak solution, incompressible fluid, pressure-dependent viscosity, shear-dependent viscosity, and spatially periodic problem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Over a large range of the pressure, one cannot ignore the fact that the viscosity grows significantly (even exponentially) with increasing pressure. This paper concerns long-time and large-data existence results for a generalization of the Navier-Stokes fluid whose viscosity depends on the shear rate and the pressure. The novelty of this result stems from the fact that we allow the viscosity to be an unbounded function of pressure as it becomes infinite. In order to include a large class of viscosities and in order to explain the main idea in as simple a manner as possible, we restrict ourselves to a discussion of the spatially periodic problem.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

503-528

Source:

Czechoslovak Mathematical Journal | 2009 Volume:59 | Number:2

Harvested from:

CDK

Metadata only:

false