Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones
We study a hydrodynamical model describing the motion of internal stellar layers based on compressible Navier-Stokes-Fourier-Poisson system. We suppose that the medium is electrically charged, we include energy exchanges through radiative transfer and we assume that the system is rotating. We an...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/245/abstr.html |
| _version_ | 1818528489619324928 |
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| author | Donatella Donatelli Bernard Ducomet Marek Kobera Sarka Necasova |
| author_facet | Donatella Donatelli Bernard Ducomet Marek Kobera Sarka Necasova |
| author_sort | Donatella Donatelli |
| collection | DOAJ |
| description | We study a hydrodynamical model describing the motion of internal
stellar layers based on compressible Navier-Stokes-Fourier-Poisson system.
We suppose that the medium is electrically charged, we include energy exchanges
through radiative transfer and we assume that the system is rotating.
We analyze the singular limit of this system when the Mach number,
the Alfven number, the Peclet number and the Froude number approache zero
in a certain way and prove convergence to a 3D incompressible MHD system
with a stationary linear transport equation for transport of radiation intensity.
Finally, we show that the energy equation reduces to a steady equation for
the temperature corrector. |
| first_indexed | 2024-12-11T06:50:26Z |
| format | Article |
| id | doaj.art-14784e7137f14cffa8507b9ecc4dfb4d |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T06:50:26Z |
| publishDate | 2016-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-14784e7137f14cffa8507b9ecc4dfb4d2022-12-22T01:16:55ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-09-012016245,131Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zonesDonatella Donatelli0Bernard Ducomet1Marek Kobera2Sarka Necasova3 Univ. degli Studi dell'Aquila, Italy CEA, DAM, DIF, Arpajon, France Charles Univ., Prague, Czech Republic Academy of Sciences, Czech Republic We study a hydrodynamical model describing the motion of internal stellar layers based on compressible Navier-Stokes-Fourier-Poisson system. We suppose that the medium is electrically charged, we include energy exchanges through radiative transfer and we assume that the system is rotating. We analyze the singular limit of this system when the Mach number, the Alfven number, the Peclet number and the Froude number approache zero in a certain way and prove convergence to a 3D incompressible MHD system with a stationary linear transport equation for transport of radiation intensity. Finally, we show that the energy equation reduces to a steady equation for the temperature corrector.http://ejde.math.txstate.edu/Volumes/2016/245/abstr.htmlNavier-Stokes-Fourier-Poisson systemradiation transfercompressible magnetohydrodynamics rotationstellar radiative zoneweak solutionelliptic-parabolic initial boundary value problemvanishing Peclet numbervanishing Mach numbervanishing Alfven numberclassical physicsplasma |
| spellingShingle | Donatella Donatelli Bernard Ducomet Marek Kobera Sarka Necasova Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones Electronic Journal of Differential Equations Navier-Stokes-Fourier-Poisson system radiation transfer compressible magnetohydrodynamics rotation stellar radiative zone weak solution elliptic-parabolic initial boundary value problem vanishing Peclet number vanishing Mach number vanishing Alfven number classical physics plasma |
| title | Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones |
| title_full | Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones |
| title_fullStr | Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones |
| title_full_unstemmed | Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones |
| title_short | Low Mach and Peclet number limit for a model of stellar tachocline and upper radiative zones |
| title_sort | low mach and peclet number limit for a model of stellar tachocline and upper radiative zones |
| topic | Navier-Stokes-Fourier-Poisson system radiation transfer compressible magnetohydrodynamics rotation stellar radiative zone weak solution elliptic-parabolic initial boundary value problem vanishing Peclet number vanishing Mach number vanishing Alfven number classical physics plasma |
| url | http://ejde.math.txstate.edu/Volumes/2016/245/abstr.html |
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