Controllability results for the Moore–Gibson–Thompson equation arising in nonlinear acoustics
We show that the Moore–Gibson–Thomson equation τ ∂ t t t y + α ∂ t t y − c 2 Δ y − b Δ ∂ t y = k ∂ t t ( y 2 ) + χ ω ( t ) u , is controlled by a force that is supported on an moving subset ω ( t ) of the domain, satisfying a geometrical condition. Using the concept of approximately outer invertible...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Lizama, Carlos [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Umfang: |
31 |
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| Übergeordnetes Werk: |
Enthalten in: Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon - Kim, Jihyun R. ELSEVIER, 2015, Orlando, Fla |
|---|---|
| Übergeordnetes Werk: |
volume:266 ; year:2019 ; number:12 ; day:5 ; month:06 ; pages:7813-7843 ; extent:31 |
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| DOI / URN: |
10.1016/j.jde.2018.12.017 |
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ELV046150536 |
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| 520 | |a We show that the Moore–Gibson–Thomson equation τ ∂ t t t y + α ∂ t t y − c 2 Δ y − b Δ ∂ t y = k ∂ t t ( y 2 ) + χ ω ( t ) u , is controlled by a force that is supported on an moving subset ω ( t ) of the domain, satisfying a geometrical condition. Using the concept of approximately outer invertible map, a generalized implicit function theorem and assuming that γ : = α − τ c 2 b > 0 , the local null controllability in the nonlinear case is established. Moreover, the analysis of the critical value γ = 0 for the linear equation is included. | ||
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10.1016/j.jde.2018.12.017 doi GBV00000000000556.pica (DE-627)ELV046150536 (ELSEVIER)S0022-0396(18)30705-8 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Lizama, Carlos verfasserin aut Controllability results for the Moore–Gibson–Thompson equation arising in nonlinear acoustics 2019 31 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We show that the Moore–Gibson–Thomson equation τ ∂ t t t y + α ∂ t t y − c 2 Δ y − b Δ ∂ t y = k ∂ t t ( y 2 ) + χ ω ( t ) u , is controlled by a force that is supported on an moving subset ω ( t ) of the domain, satisfying a geometrical condition. Using the concept of approximately outer invertible map, a generalized implicit function theorem and assuming that γ : = α − τ c 2 b > 0 , the local null controllability in the nonlinear case is established. Moreover, the analysis of the critical value γ = 0 for the linear equation is included. 93B07 Elsevier 93B05 Elsevier 35L05 Elsevier 35L35 Elsevier Zamorano, Sebastián oth Enthalten in Elsevier Kim, Jihyun R. ELSEVIER Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon 2015 Orlando, Fla (DE-627)ELV012753777 volume:266 year:2019 number:12 day:5 month:06 pages:7813-7843 extent:31 https://doi.org/10.1016/j.jde.2018.12.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_105 51.00 Werkstoffkunde: Allgemeines VZ AR 266 2019 12 5 0605 7813-7843 31 |
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10.1016/j.jde.2018.12.017 doi GBV00000000000556.pica (DE-627)ELV046150536 (ELSEVIER)S0022-0396(18)30705-8 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Lizama, Carlos verfasserin aut Controllability results for the Moore–Gibson–Thompson equation arising in nonlinear acoustics 2019 31 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We show that the Moore–Gibson–Thomson equation τ ∂ t t t y + α ∂ t t y − c 2 Δ y − b Δ ∂ t y = k ∂ t t ( y 2 ) + χ ω ( t ) u , is controlled by a force that is supported on an moving subset ω ( t ) of the domain, satisfying a geometrical condition. Using the concept of approximately outer invertible map, a generalized implicit function theorem and assuming that γ : = α − τ c 2 b > 0 , the local null controllability in the nonlinear case is established. Moreover, the analysis of the critical value γ = 0 for the linear equation is included. 93B07 Elsevier 93B05 Elsevier 35L05 Elsevier 35L35 Elsevier Zamorano, Sebastián oth Enthalten in Elsevier Kim, Jihyun R. ELSEVIER Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon 2015 Orlando, Fla (DE-627)ELV012753777 volume:266 year:2019 number:12 day:5 month:06 pages:7813-7843 extent:31 https://doi.org/10.1016/j.jde.2018.12.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_105 51.00 Werkstoffkunde: Allgemeines VZ AR 266 2019 12 5 0605 7813-7843 31 |
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10.1016/j.jde.2018.12.017 doi GBV00000000000556.pica (DE-627)ELV046150536 (ELSEVIER)S0022-0396(18)30705-8 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Lizama, Carlos verfasserin aut Controllability results for the Moore–Gibson–Thompson equation arising in nonlinear acoustics 2019 31 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We show that the Moore–Gibson–Thomson equation τ ∂ t t t y + α ∂ t t y − c 2 Δ y − b Δ ∂ t y = k ∂ t t ( y 2 ) + χ ω ( t ) u , is controlled by a force that is supported on an moving subset ω ( t ) of the domain, satisfying a geometrical condition. Using the concept of approximately outer invertible map, a generalized implicit function theorem and assuming that γ : = α − τ c 2 b > 0 , the local null controllability in the nonlinear case is established. Moreover, the analysis of the critical value γ = 0 for the linear equation is included. 93B07 Elsevier 93B05 Elsevier 35L05 Elsevier 35L35 Elsevier Zamorano, Sebastián oth Enthalten in Elsevier Kim, Jihyun R. ELSEVIER Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon 2015 Orlando, Fla (DE-627)ELV012753777 volume:266 year:2019 number:12 day:5 month:06 pages:7813-7843 extent:31 https://doi.org/10.1016/j.jde.2018.12.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_105 51.00 Werkstoffkunde: Allgemeines VZ AR 266 2019 12 5 0605 7813-7843 31 |
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10.1016/j.jde.2018.12.017 doi GBV00000000000556.pica (DE-627)ELV046150536 (ELSEVIER)S0022-0396(18)30705-8 DE-627 ger DE-627 rakwb eng 660 VZ 660 VZ 530 600 670 VZ 51.00 bkl Lizama, Carlos verfasserin aut Controllability results for the Moore–Gibson–Thompson equation arising in nonlinear acoustics 2019 31 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We show that the Moore–Gibson–Thomson equation τ ∂ t t t y + α ∂ t t y − c 2 Δ y − b Δ ∂ t y = k ∂ t t ( y 2 ) + χ ω ( t ) u , is controlled by a force that is supported on an moving subset ω ( t ) of the domain, satisfying a geometrical condition. Using the concept of approximately outer invertible map, a generalized implicit function theorem and assuming that γ : = α − τ c 2 b > 0 , the local null controllability in the nonlinear case is established. Moreover, the analysis of the critical value γ = 0 for the linear equation is included. 93B07 Elsevier 93B05 Elsevier 35L05 Elsevier 35L35 Elsevier Zamorano, Sebastián oth Enthalten in Elsevier Kim, Jihyun R. ELSEVIER Effects of temperature on adsorption and oxidative degradation of bisphenol A in an acid-treated iron-amended granular activated carbon 2015 Orlando, Fla (DE-627)ELV012753777 volume:266 year:2019 number:12 day:5 month:06 pages:7813-7843 extent:31 https://doi.org/10.1016/j.jde.2018.12.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_105 51.00 Werkstoffkunde: Allgemeines VZ AR 266 2019 12 5 0605 7813-7843 31 |
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controllability results for the moore–gibson–thompson equation arising in nonlinear acoustics |
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Controllability results for the Moore–Gibson–Thompson equation arising in nonlinear acoustics |
| abstract |
We show that the Moore–Gibson–Thomson equation τ ∂ t t t y + α ∂ t t y − c 2 Δ y − b Δ ∂ t y = k ∂ t t ( y 2 ) + χ ω ( t ) u , is controlled by a force that is supported on an moving subset ω ( t ) of the domain, satisfying a geometrical condition. Using the concept of approximately outer invertible map, a generalized implicit function theorem and assuming that γ : = α − τ c 2 b > 0 , the local null controllability in the nonlinear case is established. Moreover, the analysis of the critical value γ = 0 for the linear equation is included. |
| abstractGer |
We show that the Moore–Gibson–Thomson equation τ ∂ t t t y + α ∂ t t y − c 2 Δ y − b Δ ∂ t y = k ∂ t t ( y 2 ) + χ ω ( t ) u , is controlled by a force that is supported on an moving subset ω ( t ) of the domain, satisfying a geometrical condition. Using the concept of approximately outer invertible map, a generalized implicit function theorem and assuming that γ : = α − τ c 2 b > 0 , the local null controllability in the nonlinear case is established. Moreover, the analysis of the critical value γ = 0 for the linear equation is included. |
| abstract_unstemmed |
We show that the Moore–Gibson–Thomson equation τ ∂ t t t y + α ∂ t t y − c 2 Δ y − b Δ ∂ t y = k ∂ t t ( y 2 ) + χ ω ( t ) u , is controlled by a force that is supported on an moving subset ω ( t ) of the domain, satisfying a geometrical condition. Using the concept of approximately outer invertible map, a generalized implicit function theorem and assuming that γ : = α − τ c 2 b > 0 , the local null controllability in the nonlinear case is established. Moreover, the analysis of the critical value γ = 0 for the linear equation is included. |
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Controllability results for the Moore–Gibson–Thompson equation arising in nonlinear acoustics |
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Zamorano, Sebastián |
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