Stable Magnetic Equilibria in a Symmetric Collisionless Plasma
Abstract: A collisionless plasma is described by the Vlasov–Maxwell system. In many physical situations, a plasma is invariant under either rotations or translations. Many symmetric equilibria with nontrivial magnetic fields are critical points of an appropriate Liapunov functional, and their dynami...
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Gespeichert in:
| Autor*in: |
Guo, Yan [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1999 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 1999 |
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| Übergeordnetes Werk: |
Enthalten in: Communications in mathematical physics - Springer-Verlag, 1965, 200(1999), 1 vom: Jan., Seite 211-247 |
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| Übergeordnetes Werk: |
volume:200 ; year:1999 ; number:1 ; month:01 ; pages:211-247 |
| Links: |
|---|
| DOI / URN: |
10.1007/s002200050528 |
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| Katalog-ID: |
OLC2038872457 |
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| 520 | |a Abstract: A collisionless plasma is described by the Vlasov–Maxwell system. In many physical situations, a plasma is invariant under either rotations or translations. Many symmetric equilibria with nontrivial magnetic fields are critical points of an appropriate Liapunov functional, and their dynamical stability is studied among all symmetric perturbations. The set of all minimizers of the Liapunov functional are dynamically stable. Criteria for stability for general critical points are also established. A simpler sufficient condition for stability is derived for neutral equilibria. | ||
| 650 | 4 | |a Magnetic Field | |
| 650 | 4 | |a Dynamical Stability | |
| 650 | 4 | |a Physical Situation | |
| 650 | 4 | |a Symmetric Equilibrium | |
| 650 | 4 | |a Collisionless Plasma | |
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10.1007/s002200050528 doi (DE-627)OLC2038872457 (DE-He213)s002200050528-p DE-627 ger DE-627 rakwb eng 530 510 VZ Guo, Yan verfasserin aut Stable Magnetic Equilibria in a Symmetric Collisionless Plasma 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: A collisionless plasma is described by the Vlasov–Maxwell system. In many physical situations, a plasma is invariant under either rotations or translations. Many symmetric equilibria with nontrivial magnetic fields are critical points of an appropriate Liapunov functional, and their dynamical stability is studied among all symmetric perturbations. The set of all minimizers of the Liapunov functional are dynamically stable. Criteria for stability for general critical points are also established. A simpler sufficient condition for stability is derived for neutral equilibria. Magnetic Field Dynamical Stability Physical Situation Symmetric Equilibrium Collisionless Plasma Enthalten in Communications in mathematical physics Springer-Verlag, 1965 200(1999), 1 vom: Jan., Seite 211-247 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:200 year:1999 number:1 month:01 pages:211-247 https://doi.org/10.1007/s002200050528 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 AR 200 1999 1 01 211-247 |
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10.1007/s002200050528 doi (DE-627)OLC2038872457 (DE-He213)s002200050528-p DE-627 ger DE-627 rakwb eng 530 510 VZ Guo, Yan verfasserin aut Stable Magnetic Equilibria in a Symmetric Collisionless Plasma 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: A collisionless plasma is described by the Vlasov–Maxwell system. In many physical situations, a plasma is invariant under either rotations or translations. Many symmetric equilibria with nontrivial magnetic fields are critical points of an appropriate Liapunov functional, and their dynamical stability is studied among all symmetric perturbations. The set of all minimizers of the Liapunov functional are dynamically stable. Criteria for stability for general critical points are also established. A simpler sufficient condition for stability is derived for neutral equilibria. Magnetic Field Dynamical Stability Physical Situation Symmetric Equilibrium Collisionless Plasma Enthalten in Communications in mathematical physics Springer-Verlag, 1965 200(1999), 1 vom: Jan., Seite 211-247 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:200 year:1999 number:1 month:01 pages:211-247 https://doi.org/10.1007/s002200050528 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 AR 200 1999 1 01 211-247 |
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10.1007/s002200050528 doi (DE-627)OLC2038872457 (DE-He213)s002200050528-p DE-627 ger DE-627 rakwb eng 530 510 VZ Guo, Yan verfasserin aut Stable Magnetic Equilibria in a Symmetric Collisionless Plasma 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: A collisionless plasma is described by the Vlasov–Maxwell system. In many physical situations, a plasma is invariant under either rotations or translations. Many symmetric equilibria with nontrivial magnetic fields are critical points of an appropriate Liapunov functional, and their dynamical stability is studied among all symmetric perturbations. The set of all minimizers of the Liapunov functional are dynamically stable. Criteria for stability for general critical points are also established. A simpler sufficient condition for stability is derived for neutral equilibria. Magnetic Field Dynamical Stability Physical Situation Symmetric Equilibrium Collisionless Plasma Enthalten in Communications in mathematical physics Springer-Verlag, 1965 200(1999), 1 vom: Jan., Seite 211-247 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:200 year:1999 number:1 month:01 pages:211-247 https://doi.org/10.1007/s002200050528 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 AR 200 1999 1 01 211-247 |
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10.1007/s002200050528 doi (DE-627)OLC2038872457 (DE-He213)s002200050528-p DE-627 ger DE-627 rakwb eng 530 510 VZ Guo, Yan verfasserin aut Stable Magnetic Equilibria in a Symmetric Collisionless Plasma 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: A collisionless plasma is described by the Vlasov–Maxwell system. In many physical situations, a plasma is invariant under either rotations or translations. Many symmetric equilibria with nontrivial magnetic fields are critical points of an appropriate Liapunov functional, and their dynamical stability is studied among all symmetric perturbations. The set of all minimizers of the Liapunov functional are dynamically stable. Criteria for stability for general critical points are also established. A simpler sufficient condition for stability is derived for neutral equilibria. Magnetic Field Dynamical Stability Physical Situation Symmetric Equilibrium Collisionless Plasma Enthalten in Communications in mathematical physics Springer-Verlag, 1965 200(1999), 1 vom: Jan., Seite 211-247 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:200 year:1999 number:1 month:01 pages:211-247 https://doi.org/10.1007/s002200050528 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 AR 200 1999 1 01 211-247 |
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10.1007/s002200050528 doi (DE-627)OLC2038872457 (DE-He213)s002200050528-p DE-627 ger DE-627 rakwb eng 530 510 VZ Guo, Yan verfasserin aut Stable Magnetic Equilibria in a Symmetric Collisionless Plasma 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 1999 Abstract: A collisionless plasma is described by the Vlasov–Maxwell system. In many physical situations, a plasma is invariant under either rotations or translations. Many symmetric equilibria with nontrivial magnetic fields are critical points of an appropriate Liapunov functional, and their dynamical stability is studied among all symmetric perturbations. The set of all minimizers of the Liapunov functional are dynamically stable. Criteria for stability for general critical points are also established. A simpler sufficient condition for stability is derived for neutral equilibria. Magnetic Field Dynamical Stability Physical Situation Symmetric Equilibrium Collisionless Plasma Enthalten in Communications in mathematical physics Springer-Verlag, 1965 200(1999), 1 vom: Jan., Seite 211-247 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:200 year:1999 number:1 month:01 pages:211-247 https://doi.org/10.1007/s002200050528 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4125 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 AR 200 1999 1 01 211-247 |
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530 510 |
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stable magnetic equilibria in a symmetric collisionless plasma |
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Stable Magnetic Equilibria in a Symmetric Collisionless Plasma |
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Abstract: A collisionless plasma is described by the Vlasov–Maxwell system. In many physical situations, a plasma is invariant under either rotations or translations. Many symmetric equilibria with nontrivial magnetic fields are critical points of an appropriate Liapunov functional, and their dynamical stability is studied among all symmetric perturbations. The set of all minimizers of the Liapunov functional are dynamically stable. Criteria for stability for general critical points are also established. A simpler sufficient condition for stability is derived for neutral equilibria. © Springer-Verlag Berlin Heidelberg 1999 |
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Abstract: A collisionless plasma is described by the Vlasov–Maxwell system. In many physical situations, a plasma is invariant under either rotations or translations. Many symmetric equilibria with nontrivial magnetic fields are critical points of an appropriate Liapunov functional, and their dynamical stability is studied among all symmetric perturbations. The set of all minimizers of the Liapunov functional are dynamically stable. Criteria for stability for general critical points are also established. A simpler sufficient condition for stability is derived for neutral equilibria. © Springer-Verlag Berlin Heidelberg 1999 |
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Abstract: A collisionless plasma is described by the Vlasov–Maxwell system. In many physical situations, a plasma is invariant under either rotations or translations. Many symmetric equilibria with nontrivial magnetic fields are critical points of an appropriate Liapunov functional, and their dynamical stability is studied among all symmetric perturbations. The set of all minimizers of the Liapunov functional are dynamically stable. Criteria for stability for general critical points are also established. A simpler sufficient condition for stability is derived for neutral equilibria. © Springer-Verlag Berlin Heidelberg 1999 |
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Stable Magnetic Equilibria in a Symmetric Collisionless Plasma |
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