| Title:
|
On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions (English) |
| Author:
|
Bulíček, Miroslav |
| Author:
|
Lewandowski, Roger |
| Author:
|
Málek, Josef |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
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52 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
89-114 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we establish the large-data and long-time existence of a suitable weak solution to an initial and boundary value problem driven by a system of partial differential equations consisting of the Navier-Stokes equations with the viscosity $\nu $ polynomially increasing with a scalar quantity $k$ that evolves according to an evolutionary convection diffusion equation with the right hand side $\nu (k)|{\pmb{\mathsf{D}}}(\vec{v})|^2$ that is merely $L^1$-integrable over space and time. We also formulate a conjecture concerning regularity of such a solution. (English) |
| Keyword:
|
large data existence |
| Keyword:
|
suitable weak solution |
| Keyword:
|
Navier-Stokes-Fourier equations |
| Keyword:
|
incompressible fluid |
| Keyword:
|
the viscosity increasing with a scalar quantity |
| Keyword:
|
regularity |
| Keyword:
|
turbulent kinetic energy model |
| MSC:
|
35Q30 |
| MSC:
|
35Q35 |
| MSC:
|
76F60 |
| idZBL:
|
Zbl 1240.35378 |
| idMR:
|
MR2828368 |
| . |
| Date available:
|
2011-03-08T17:39:59Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141430 |
| . |
| Reference:
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