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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
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Category: math
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Keyword: Navier-Stokes equations
Keyword: blow-up
Keyword: weak solution
MSC: 35D40
MSC: 35Q30
MSC: 76D05
idZBL: Zbl 1265.35249
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Date available: 2010-12-11T21:37:07Z
Last updated: 2015-11-29
Stable URL: http://hdl.handle.net/10338.dmlcz/141317
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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
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