Generalized Covariant Derivative with Respect to Time in Flat Space (II): Lagrangian Description
The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulat...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yin, Yajun [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
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| Schlagwörter: |
generalized covariant derivative with respect to time the postulate of covariant form invariability |
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| Umfang: |
12 |
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| Übergeordnetes Werk: |
Enthalten in: Enhanced degradation of trichloroethylene in nano-scale zero-valent iron Fenton system with Cu(II) - 2012, Chinese journal of solid mechanics, [Singapore] |
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| Übergeordnetes Werk: |
volume:29 ; year:2016 ; number:4 ; pages:359-370 ; extent:12 |
| Links: |
|---|
| DOI / URN: |
10.1016/S0894-9166(16)30239-7 |
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ELV035401672 |
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| 520 | |a The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. | ||
| 520 | |a The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. | ||
| 650 | 7 | |a Lagrangian description |2 Elsevier | |
| 650 | 7 | |a generalized covariant derivative with respect to time |2 Elsevier | |
| 650 | 7 | |a the postulate of covariant form invariability |2 Elsevier | |
| 650 | 7 | |a generalized Lagrangian component |2 Elsevier | |
| 650 | 7 | |a covariant differential transformation group |2 Elsevier | |
| 773 | 0 | 8 | |i Enthalten in |n Springer Singapore |t Enhanced degradation of trichloroethylene in nano-scale zero-valent iron Fenton system with Cu(II) |d 2012 |d Chinese journal of solid mechanics |g [Singapore] |w (DE-627)ELV016228227 |
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10.1016/S0894-9166(16)30239-7 doi GBVA2016015000012.pica (DE-627)ELV035401672 (ELSEVIER)S0894-9166(16)30239-7 DE-627 ger DE-627 rakwb eng 530 530 DE-101 530 DE-600 530 VZ 333.7 610 VZ 43.12 bkl 43.13 bkl 44.13 bkl Yin, Yajun verfasserin aut Generalized Covariant Derivative with Respect to Time in Flat Space (II): Lagrangian Description 2016transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. Lagrangian description Elsevier generalized covariant derivative with respect to time Elsevier the postulate of covariant form invariability Elsevier generalized Lagrangian component Elsevier covariant differential transformation group Elsevier Enthalten in Springer Singapore Enhanced degradation of trichloroethylene in nano-scale zero-valent iron Fenton system with Cu(II) 2012 Chinese journal of solid mechanics [Singapore] (DE-627)ELV016228227 volume:29 year:2016 number:4 pages:359-370 extent:12 https://doi.org/10.1016/S0894-9166(16)30239-7 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.12 Umweltchemie VZ 43.13 Umwelttoxikologie VZ 44.13 Medizinische Ökologie VZ AR 29 2016 4 359-370 12 045F 530 |
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10.1016/S0894-9166(16)30239-7 doi GBVA2016015000012.pica (DE-627)ELV035401672 (ELSEVIER)S0894-9166(16)30239-7 DE-627 ger DE-627 rakwb eng 530 530 DE-101 530 DE-600 530 VZ 333.7 610 VZ 43.12 bkl 43.13 bkl 44.13 bkl Yin, Yajun verfasserin aut Generalized Covariant Derivative with Respect to Time in Flat Space (II): Lagrangian Description 2016transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. Lagrangian description Elsevier generalized covariant derivative with respect to time Elsevier the postulate of covariant form invariability Elsevier generalized Lagrangian component Elsevier covariant differential transformation group Elsevier Enthalten in Springer Singapore Enhanced degradation of trichloroethylene in nano-scale zero-valent iron Fenton system with Cu(II) 2012 Chinese journal of solid mechanics [Singapore] (DE-627)ELV016228227 volume:29 year:2016 number:4 pages:359-370 extent:12 https://doi.org/10.1016/S0894-9166(16)30239-7 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.12 Umweltchemie VZ 43.13 Umwelttoxikologie VZ 44.13 Medizinische Ökologie VZ AR 29 2016 4 359-370 12 045F 530 |
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10.1016/S0894-9166(16)30239-7 doi GBVA2016015000012.pica (DE-627)ELV035401672 (ELSEVIER)S0894-9166(16)30239-7 DE-627 ger DE-627 rakwb eng 530 530 DE-101 530 DE-600 530 VZ 333.7 610 VZ 43.12 bkl 43.13 bkl 44.13 bkl Yin, Yajun verfasserin aut Generalized Covariant Derivative with Respect to Time in Flat Space (II): Lagrangian Description 2016transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. Lagrangian description Elsevier generalized covariant derivative with respect to time Elsevier the postulate of covariant form invariability Elsevier generalized Lagrangian component Elsevier covariant differential transformation group Elsevier Enthalten in Springer Singapore Enhanced degradation of trichloroethylene in nano-scale zero-valent iron Fenton system with Cu(II) 2012 Chinese journal of solid mechanics [Singapore] (DE-627)ELV016228227 volume:29 year:2016 number:4 pages:359-370 extent:12 https://doi.org/10.1016/S0894-9166(16)30239-7 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.12 Umweltchemie VZ 43.13 Umwelttoxikologie VZ 44.13 Medizinische Ökologie VZ AR 29 2016 4 359-370 12 045F 530 |
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10.1016/S0894-9166(16)30239-7 doi GBVA2016015000012.pica (DE-627)ELV035401672 (ELSEVIER)S0894-9166(16)30239-7 DE-627 ger DE-627 rakwb eng 530 530 DE-101 530 DE-600 530 VZ 333.7 610 VZ 43.12 bkl 43.13 bkl 44.13 bkl Yin, Yajun verfasserin aut Generalized Covariant Derivative with Respect to Time in Flat Space (II): Lagrangian Description 2016transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. Lagrangian description Elsevier generalized covariant derivative with respect to time Elsevier the postulate of covariant form invariability Elsevier generalized Lagrangian component Elsevier covariant differential transformation group Elsevier Enthalten in Springer Singapore Enhanced degradation of trichloroethylene in nano-scale zero-valent iron Fenton system with Cu(II) 2012 Chinese journal of solid mechanics [Singapore] (DE-627)ELV016228227 volume:29 year:2016 number:4 pages:359-370 extent:12 https://doi.org/10.1016/S0894-9166(16)30239-7 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.12 Umweltchemie VZ 43.13 Umwelttoxikologie VZ 44.13 Medizinische Ökologie VZ AR 29 2016 4 359-370 12 045F 530 |
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10.1016/S0894-9166(16)30239-7 doi GBVA2016015000012.pica (DE-627)ELV035401672 (ELSEVIER)S0894-9166(16)30239-7 DE-627 ger DE-627 rakwb eng 530 530 DE-101 530 DE-600 530 VZ 333.7 610 VZ 43.12 bkl 43.13 bkl 44.13 bkl Yin, Yajun verfasserin aut Generalized Covariant Derivative with Respect to Time in Flat Space (II): Lagrangian Description 2016transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. Lagrangian description Elsevier generalized covariant derivative with respect to time Elsevier the postulate of covariant form invariability Elsevier generalized Lagrangian component Elsevier covariant differential transformation group Elsevier Enthalten in Springer Singapore Enhanced degradation of trichloroethylene in nano-scale zero-valent iron Fenton system with Cu(II) 2012 Chinese journal of solid mechanics [Singapore] (DE-627)ELV016228227 volume:29 year:2016 number:4 pages:359-370 extent:12 https://doi.org/10.1016/S0894-9166(16)30239-7 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.12 Umweltchemie VZ 43.13 Umwelttoxikologie VZ 44.13 Medizinische Ökologie VZ AR 29 2016 4 359-370 12 045F 530 |
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Enthalten in Enhanced degradation of trichloroethylene in nano-scale zero-valent iron Fenton system with Cu(II) [Singapore] volume:29 year:2016 number:4 pages:359-370 extent:12 |
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Generalized Covariant Derivative with Respect to Time in Flat Space (II): Lagrangian Description |
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Generalized Covariant Derivative with Respect to Time in Flat Space (II): Lagrangian Description |
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Enhanced degradation of trichloroethylene in nano-scale zero-valent iron Fenton system with Cu(II) |
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Enhanced degradation of trichloroethylene in nano-scale zero-valent iron Fenton system with Cu(II) |
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generalized covariant derivative with respect to time in flat space (ii): lagrangian description |
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Generalized Covariant Derivative with Respect to Time in Flat Space (II): Lagrangian Description |
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The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. |
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The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. |
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The previous paper reported a new derivative in the Eulerian description in flat space—the generalized covariant derivative of generalized Eulerian component with respect to time. This paper extends the thought from the Eulerian description to the Lagrangian description: on the basis of the postulate of covariant form invariability in time field, we define a new derivative in the Lagrangian description in flat space—the generalized covariant derivative of generalized Lagrangian component with respect to time. Besides, the covariant differential transformation group is set up. The covariant form invariability of Lagrangian space-time is ascertained. |
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Generalized Covariant Derivative with Respect to Time in Flat Space (II): Lagrangian Description |
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