| Title:
|
Navierovy-Stokesovy rovnice: regularita nebo „blow-up‟? (Czech) |
| Title:
|
Navier-Stokes equations: regularity or “blow-up”? (English) |
| Author:
|
Neustupa, Jiří |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
51 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
187-197 |
| . |
| Category:
|
math |
| . |
| Keyword:
|
Navier-Stokes equations |
| Keyword:
|
blow-up |
| Keyword:
|
weak solution |
| MSC:
|
35D40 |
| MSC:
|
35Q30 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 1265.35249 |
| . |
| Date available:
|
2010-12-11T21:37:07Z |
| Last updated:
|
2015-11-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141317 |
| . |
| Reference:
|
[1] Darrigol, O.: Between hydrodynamics and elasticity theory: the first five births of the Navier-Stokes equation.Arch. Hist. Exact Sci. 56 (2002), 95–150. Zbl 0998.01014, MR 1882467 |
| Reference:
|
[2] Feistauer, M.: Mathematical Methods in Fluid Dynamics.Pitman Monographs and Surveys in Pure and Applied Mathematics 67, Longman Scientific & Technical, Harlow 1993. Zbl 0819.76001, MR 1266627 |
| Reference:
|
[3] Galdi, G. P., Heywood, J., Rannacher, R.: Fundamental Directions in Mathematical Fluid Mechanics.Series “Advances in Mathematical Fluid Mechanics”, Vol. 1, Birkhauser-Verlag, Basel 2000. Zbl 0948.00020, MR 1798752 |
| Reference:
|
[4] Ladyženskaja, O. A.: The Mathematical Theory of Viscous Incompressible Flow.Gordon and Breach, New York 1969. MR 0254401 |
| Reference:
|
[5] Lions, P. L.: Mathematical Topics in Fluid Mechanics, Vol. 1: Incompressible Models.Clarendon Press, Oxford 1996. Zbl 0866.76002, MR 1422251 |
| Reference:
|
[6] Neustupa, J., Penel, P.: Mathematical Fluid Mechanics: Recent Results and Open Problems.Series “Advances in Mathematical Fluid Mechanics”, Vol. 2, BirkhauserV̄erlag, Basel 2001. MR 1865046 |
| Reference:
|
[7] Sohr, H.: The Navier-Stokes Equations: An Elementary Functional Analytic Approach.Birkhauser Advanced Texts, Birkhauser-Verlag, Basel 2001. Zbl 0983.35004, MR 1928881 |
| Reference:
|
[8] Temam, R.: Navier-Stokes Equations.North-Holland, Amsterdam-New York-Oxford 1977. Zbl 0383.35057, MR 0769654 |
| . |