Asymptotic analysis of fluid models for the coupling of radiation and hydrodynamics

Buet, Christophe; Després, Bruno

doi:10.1016/s0022-4073(03)00233-4

Cited by 107 publications

(111 citation statements)

References 10 publications

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“…Le système (2), (3), (4) (et sa version non barotrope) est un modèle simplifié d'hydrodynamique radiative (cf [24], [26]), dont certains régimes limites ont été proposés par Lowrie, Morel et Hittinger [23] et plus récemment par Buet et Després [2]. L'étude mathématique des modèles de fluides radiatifs n'en est qu'à ses débuts.…”

Section: Vii-1unclassified

“…Pour simplifier, nous supposons simplement C = ε −1 (sachant qu'avoir Cε grand améliore encore la convergence, voir [8]). On obtient alors le résultat suivant : Certaines de ces asymptotiques ont été dérivées formellement dans [2], et démontrées dans le cadre des solutions faibles par B. Ducomet et S. Nečasova dans [16,18]. Leur justification dans le cadre des solutions fortes est en cours dans [9].…”

Section: éTudes Asymptotiquesunclassified

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Résultats d’existence globale et limites asymptotiques pour un modèle de fluide radiatif

Danchin¹,

Ducomet²

2015

Séminaire Laurent Schwartz — EDP Et Applications

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Section: Vii-1unclassified

Section: éTudes Asymptotiquesunclassified

Résultats d’existence globale et limites asymptotiques pour un modèle de fluide radiatif

Danchin¹,

Ducomet²

2015

Séminaire Laurent Schwartz — EDP Et Applications

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“…Note however that our method works under the parabolic CFL condition. This could be seen as too restrictive when the kinetic equation or the reduced model is coupled to hydrodynamics, like in applications in radiative transfer [6,7,16,21], but, it is possible in such a context to appeal to a subcycling method where several "parabolic" time steps are performed within a "hyperbolic" time step, see [28]. Besides, the scope of this scheme differs from that of the method described in [41] in the sense that we are interested in computations for a positive value of the parameter ε, not only for the fully relaxed situation.…”

Section: Remark 11 (Comparison To Existing Literature)mentioning

confidence: 99%

“…This test is a standard benchmark for radiative transfer problems [43,48,6,7,5]. Indeed, in radiative transfer the unknown f is the specific intensity of radiations, which interact with the matter through energy exchanges, see e.g.…”

Section: The Su-olson Testmentioning

confidence: 99%

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Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations

et al. 2008

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Abstract. We investigate different models that are intended to describe the small mean free path regime of a kinetic equation, a particular attention being paid to the moment closure by entropy minimization. We introduce a specific asymptotic-induced numerical strategy which is able to treat the stiff terms of the asymptotic diffusive regime. We evaluate on numerics the performances of the method and the abilities of the reduced models to capture the main features of the full kinetic equation.

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OPA1 expression in the normal rat retina and optic nerve

Misaka

Kushnareva

et al. 2005

J of Comparative Neurology

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Autosomal dominant optic atrophy (DOA) is the most common form of hereditary optic neuropathy. DOA presents in the first decade of life and manifests as progressive vision loss. In DOA retinal ganglion cells and the optic nerve degenerate by an unknown mechanism. The gene mutated in DOA, Optic Atrophy Type 1 (OPA1), encodes a dynamin-related GTPase implicated in mitochondrial fusion and maintenance of the mitochondrial network and genome. Here, we determine which cell types in the normal retina and the optic nerve express OPA1. In the normal rat retina, OPA1 is expressed in the ganglion cell layer as well as in the outer plexiform layer, the inner nuclear layer, and the inner plexiform layer. In the ganglion cell layer, OPA1 is expressed predominantly in retinal ganglion cells. By contrast, OPA1 protein is low or undetectable in astrocytes and oligodendrocytes of the optic nerve. Additionally, OPA1 protein is present in axonal mitochondria. Last, OPA1 expression is present in mitochondria of processes and cell bodies of purified retinal ganglion cells and of the RGC-5 cell line. Thus, OPA1 is predominantly expressed in retinal ganglion cells of the normal rat retina and axons of the optic nerve. These findings may explain the selective vulnerability of retinal ganglion cells to OPA1 loss of function.

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Asymptotic analysis of fluid models for the coupling of radiation and hydrodynamics

Cited by 107 publications

References 10 publications

Résultats d’existence globale et limites asymptotiques pour un modèle de fluide radiatif

Résultats d’existence globale et limites asymptotiques pour un modèle de fluide radiatif

Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations

OPA1 expression in the normal rat retina and optic nerve

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