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Navier-Stokes flow around a rotating obstacle: mathematical analysis of its asymptotic behavior

The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of...

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Detalles Bibliográficos
Autores principales: Necasova, Sarka, Kracmar, Stanislav
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.2991/978-94-6239-231-1
http://cds.cern.ch/record/2229638
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author Necasova, Sarka
Kracmar, Stanislav
author_facet Necasova, Sarka
Kracmar, Stanislav
author_sort Necasova, Sarka
collection CERN
description The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one). Each chapter is preceded by a thorough discussion of the investigated problems, along with their motivation and the strategy used to solve them. The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential equations.
id cern-2229638
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
publisher Springer
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spelling cern-22296382021-04-21T19:28:27Zdoi:10.2991/978-94-6239-231-1http://cds.cern.ch/record/2229638engNecasova, SarkaKracmar, StanislavNavier-Stokes flow around a rotating obstacle: mathematical analysis of its asymptotic behaviorMathematical Physics and MathematicsThe book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one). Each chapter is preceded by a thorough discussion of the investigated problems, along with their motivation and the strategy used to solve them. The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential equations.Springeroai:cds.cern.ch:22296382016
spellingShingle Mathematical Physics and Mathematics
Necasova, Sarka
Kracmar, Stanislav
Navier-Stokes flow around a rotating obstacle: mathematical analysis of its asymptotic behavior
title Navier-Stokes flow around a rotating obstacle: mathematical analysis of its asymptotic behavior
title_full Navier-Stokes flow around a rotating obstacle: mathematical analysis of its asymptotic behavior
title_fullStr Navier-Stokes flow around a rotating obstacle: mathematical analysis of its asymptotic behavior
title_full_unstemmed Navier-Stokes flow around a rotating obstacle: mathematical analysis of its asymptotic behavior
title_short Navier-Stokes flow around a rotating obstacle: mathematical analysis of its asymptotic behavior
title_sort navier-stokes flow around a rotating obstacle: mathematical analysis of its asymptotic behavior
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.2991/978-94-6239-231-1
http://cds.cern.ch/record/2229638
work_keys_str_mv AT necasovasarka navierstokesflowaroundarotatingobstaclemathematicalanalysisofitsasymptoticbehavior
AT kracmarstanislav navierstokesflowaroundarotatingobstaclemathematicalanalysisofitsasymptoticbehavior