Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling ν(p, ·) → + ∞ AS p → + ∞

Abstract 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...
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Autor*in:	Bulíček, M. [verfasserIn] Málek, J. Rajagopal, K. R.

Format:	Artikel
Sprache:	Englisch

Erschienen:	2009

Schlagwörter:	existence weak solution incompressible fluid pressure-dependent viscosity shear-dependent viscosity spatially periodic problem

Systematik:	SA 4380

Anmerkung:	© Mathematical Institute, Academy of Sciences of Czech Republic 2009

Übergeordnetes Werk:	Enthalten in: Czechoslovak mathematical journal - Mathematical Institute, Academy of Sciences of Czech Republic, 1951, 59(2009), 2 vom: Juni, Seite 503-528
Übergeordnetes Werk:	volume:59 ; year:2009 ; number:2 ; month:06 ; pages:503-528

Links:	Volltext

DOI / URN:	10.1007/s10587-009-0034-2

Katalog-ID:	OLC2112389165

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spelling	10.1007/s10587-009-0034-2 doi (DE-627)OLC2112389165 (DE-He213)s10587-009-0034-2-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 4380 VZ rvk Bulíček, M. verfasserin aut Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling ν(p, ·) → + ∞ AS p → + ∞ 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Mathematical Institute, Academy of Sciences of Czech Republic 2009 Abstract 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. existence weak solution incompressible fluid pressure-dependent viscosity shear-dependent viscosity spatially periodic problem Málek, J. aut Rajagopal, K. R. aut Enthalten in Czechoslovak mathematical journal Mathematical Institute, Academy of Sciences of Czech Republic, 1951 59(2009), 2 vom: Juni, Seite 503-528 (DE-627)129891711 (DE-600)303315-6 (DE-576)015205150 0011-4642 nnns volume:59 year:2009 number:2 month:06 pages:503-528 https://doi.org/10.1007/s10587-009-0034-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_171 GBV_ILN_2018 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4318 SA 4380 AR 59 2009 2 06 503-528
allfields_unstemmed	10.1007/s10587-009-0034-2 doi (DE-627)OLC2112389165 (DE-He213)s10587-009-0034-2-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 4380 VZ rvk Bulíček, M. verfasserin aut Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling ν(p, ·) → + ∞ AS p → + ∞ 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Mathematical Institute, Academy of Sciences of Czech Republic 2009 Abstract 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. existence weak solution incompressible fluid pressure-dependent viscosity shear-dependent viscosity spatially periodic problem Málek, J. aut Rajagopal, K. R. aut Enthalten in Czechoslovak mathematical journal Mathematical Institute, Academy of Sciences of Czech Republic, 1951 59(2009), 2 vom: Juni, Seite 503-528 (DE-627)129891711 (DE-600)303315-6 (DE-576)015205150 0011-4642 nnns volume:59 year:2009 number:2 month:06 pages:503-528 https://doi.org/10.1007/s10587-009-0034-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_171 GBV_ILN_2018 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4318 SA 4380 AR 59 2009 2 06 503-528
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author	Bulíček, M.
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title_auth	Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling ν(p, ·) → + ∞ AS p → + ∞
abstract	Abstract 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. © Mathematical Institute, Academy of Sciences of Czech Republic 2009
abstractGer	Abstract 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. © Mathematical Institute, Academy of Sciences of Czech Republic 2009
abstract_unstemmed	Abstract 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. © Mathematical Institute, Academy of Sciences of Czech Republic 2009
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title_short	Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling ν(p, ·) → + ∞ AS p → + ∞
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author2	Málek, J. Rajagopal, K. R.
author2Str	Málek, J. Rajagopal, K. R.
ppnlink	129891711
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isOA_txt	false
hochschulschrift_bool	false
doi_str	10.1007/s10587-009-0034-2
up_date	2024-07-04T13:49:50.705Z
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Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling ν(p, ·) → + ∞ AS p → + ∞

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