A constraint variational problem arising in stellar dynamics

Mahir Hadzic

doi:10.1090/S0033-569X-06-01032-9

A constraint variational problem arising in stellar dynamics

Mahir Hadzic^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We use the compactness result of A. Burchard and Y. Guo to analyze the reduced 'energy' functional arising naturally in the stability analysis of steady states of the Vlasov-Poisson system (cf. Sanchez and Soler, to appear, and Hadzic, 2005). We consider the associated variational problem and present a new proof that puts it in the general framework for tackling the variational problems of this type, given by Y. Guo and G. Rein (cf. Rein, 2005 and Rein, 2002).

Original language	English
Article number	N/A
Pages (from-to)	145-153
Number of pages	9
Journal	QUARTERLY OF APPLIED MATHEMATICS
Volume	65
Issue number	1
DOIs	https://doi.org/10.1090/S0033-569X-06-01032-9
Publication status	Published - Mar 2007

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abstract = "We use the compactness result of A. Burchard and Y. Guo to analyze the reduced 'energy' functional arising naturally in the stability analysis of steady states of the Vlasov-Poisson system (cf. Sanchez and Soler, to appear, and Hadzic, 2005). We consider the associated variational problem and present a new proof that puts it in the general framework for tackling the variational problems of this type, given by Y. Guo and G. Rein (cf. Rein, 2005 and Rein, 2002).",

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AB - We use the compactness result of A. Burchard and Y. Guo to analyze the reduced 'energy' functional arising naturally in the stability analysis of steady states of the Vlasov-Poisson system (cf. Sanchez and Soler, to appear, and Hadzic, 2005). We consider the associated variational problem and present a new proof that puts it in the general framework for tackling the variational problems of this type, given by Y. Guo and G. Rein (cf. Rein, 2005 and Rein, 2002).

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DO - 10.1090/S0033-569X-06-01032-9

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JO - QUARTERLY OF APPLIED MATHEMATICS

JF - QUARTERLY OF APPLIED MATHEMATICS

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A constraint variational problem arising in stellar dynamics

Abstract

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