Some existence results for the Navier-Stokes equation driven by heat conduction
The Navier-Stokes equation driven by heat conduction is studied. As a prototype we consider Rayleigh-B'enard convection, in the Boussinesq approximation. Under a large aspect ratio assumption, which is the case in Rayleigh-B'enard experiments with Prandtl numer close to one, we prove the e...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.38.240 2023-05-15T16:47:09+02:00 Some existence results for the Navier-Stokes equation driven by heat conduction Bjorn Birnir Nils Svanstedt The Pennsylvania State University CiteSeerX Archives application/postscript http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.240 http://www.math.ucsb.edu/~birnir/papers/rb.ps en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.240 http://www.math.ucsb.edu/~birnir/papers/rb.ps Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.math.ucsb.edu/~birnir/papers/rb.ps text ftciteseerx 2016-09-18T00:18:34Z The Navier-Stokes equation driven by heat conduction is studied. As a prototype we consider Rayleigh-B'enard convection, in the Boussinesq approximation. Under a large aspect ratio assumption, which is the case in Rayleigh-B'enard experiments with Prandtl numer close to one, we prove the existence of a global strong solution to the 3D Navier-Stokes equation coupled with a heat equation, and the existence of a maximal B-attractor. PACS numbers, 44.25.+f, 47.27.Te and The University of Iceland, Science Institute, Dunhaga, Reykjav'ik 107, Iceland. y Email: birnir@math.ucsb.edu and URL: www.math.ucsb.edu/~birnir z and Department of Mathematics, Chalmers University of Technology and Goteborg University S-412 96 Goteborg, Sweden. x Email: nilss@math.chalmers.se 1 Introduction In this paper we study the Navier-Stokes equation driven by heat conduction. Under a large aspect ratio assumption (the spatial domain being a thin layer) we prove the existence of a global strong solution. T. Text Iceland Unknown Chalmers ENVELOPE(159.483,159.483,-79.333,-79.333) |
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English |
description |
The Navier-Stokes equation driven by heat conduction is studied. As a prototype we consider Rayleigh-B'enard convection, in the Boussinesq approximation. Under a large aspect ratio assumption, which is the case in Rayleigh-B'enard experiments with Prandtl numer close to one, we prove the existence of a global strong solution to the 3D Navier-Stokes equation coupled with a heat equation, and the existence of a maximal B-attractor. PACS numbers, 44.25.+f, 47.27.Te and The University of Iceland, Science Institute, Dunhaga, Reykjav'ik 107, Iceland. y Email: birnir@math.ucsb.edu and URL: www.math.ucsb.edu/~birnir z and Department of Mathematics, Chalmers University of Technology and Goteborg University S-412 96 Goteborg, Sweden. x Email: nilss@math.chalmers.se 1 Introduction In this paper we study the Navier-Stokes equation driven by heat conduction. Under a large aspect ratio assumption (the spatial domain being a thin layer) we prove the existence of a global strong solution. T. |
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The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Bjorn Birnir Nils Svanstedt |
spellingShingle |
Bjorn Birnir Nils Svanstedt Some existence results for the Navier-Stokes equation driven by heat conduction |
author_facet |
Bjorn Birnir Nils Svanstedt |
author_sort |
Bjorn Birnir |
title |
Some existence results for the Navier-Stokes equation driven by heat conduction |
title_short |
Some existence results for the Navier-Stokes equation driven by heat conduction |
title_full |
Some existence results for the Navier-Stokes equation driven by heat conduction |
title_fullStr |
Some existence results for the Navier-Stokes equation driven by heat conduction |
title_full_unstemmed |
Some existence results for the Navier-Stokes equation driven by heat conduction |
title_sort |
some existence results for the navier-stokes equation driven by heat conduction |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.240 http://www.math.ucsb.edu/~birnir/papers/rb.ps |
long_lat |
ENVELOPE(159.483,159.483,-79.333,-79.333) |
geographic |
Chalmers |
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Chalmers |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
http://www.math.ucsb.edu/~birnir/papers/rb.ps |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.240 http://www.math.ucsb.edu/~birnir/papers/rb.ps |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766037232099000320 |