Global well-posedness theory for a class of coupled parabolic-elliptic systems
We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation proc...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Malysheva, Tetyana [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020transfer abstract |
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| Schlagwörter: |
Coupled partial differential equations Coupled parabolic-elliptic systems |
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| Übergeordnetes Werk: |
Enthalten in: In silico drug repurposing in COVID-19: A network-based analysis - Sibilio, Pasquale ELSEVIER, 2021, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:486 ; year:2020 ; number:2 ; day:15 ; month:06 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.jmaa.2020.123923 |
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| 520 | |a We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. | ||
| 520 | |a We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. | ||
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10.1016/j.jmaa.2020.123923 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000927.pica (DE-627)ELV049536826 (ELSEVIER)S0022-247X(20)30085-8 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Malysheva, Tetyana verfasserin aut Global well-posedness theory for a class of coupled parabolic-elliptic systems 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. Coupled partial differential equations Elsevier Thermo-chemo-poroelasticity Elsevier Coupled parabolic-elliptic systems Elsevier Coupled diffusion-deformation systems Elsevier Well-posedness Elsevier White, Luther W. oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:486 year:2020 number:2 day:15 month:06 pages:0 https://doi.org/10.1016/j.jmaa.2020.123923 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 486 2020 2 15 0615 0 |
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10.1016/j.jmaa.2020.123923 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000927.pica (DE-627)ELV049536826 (ELSEVIER)S0022-247X(20)30085-8 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Malysheva, Tetyana verfasserin aut Global well-posedness theory for a class of coupled parabolic-elliptic systems 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. Coupled partial differential equations Elsevier Thermo-chemo-poroelasticity Elsevier Coupled parabolic-elliptic systems Elsevier Coupled diffusion-deformation systems Elsevier Well-posedness Elsevier White, Luther W. oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:486 year:2020 number:2 day:15 month:06 pages:0 https://doi.org/10.1016/j.jmaa.2020.123923 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 486 2020 2 15 0615 0 |
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10.1016/j.jmaa.2020.123923 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000927.pica (DE-627)ELV049536826 (ELSEVIER)S0022-247X(20)30085-8 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Malysheva, Tetyana verfasserin aut Global well-posedness theory for a class of coupled parabolic-elliptic systems 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. Coupled partial differential equations Elsevier Thermo-chemo-poroelasticity Elsevier Coupled parabolic-elliptic systems Elsevier Coupled diffusion-deformation systems Elsevier Well-posedness Elsevier White, Luther W. oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:486 year:2020 number:2 day:15 month:06 pages:0 https://doi.org/10.1016/j.jmaa.2020.123923 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 486 2020 2 15 0615 0 |
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10.1016/j.jmaa.2020.123923 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000927.pica (DE-627)ELV049536826 (ELSEVIER)S0022-247X(20)30085-8 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Malysheva, Tetyana verfasserin aut Global well-posedness theory for a class of coupled parabolic-elliptic systems 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. Coupled partial differential equations Elsevier Thermo-chemo-poroelasticity Elsevier Coupled parabolic-elliptic systems Elsevier Coupled diffusion-deformation systems Elsevier Well-posedness Elsevier White, Luther W. oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:486 year:2020 number:2 day:15 month:06 pages:0 https://doi.org/10.1016/j.jmaa.2020.123923 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 486 2020 2 15 0615 0 |
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10.1016/j.jmaa.2020.123923 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000927.pica (DE-627)ELV049536826 (ELSEVIER)S0022-247X(20)30085-8 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Malysheva, Tetyana verfasserin aut Global well-posedness theory for a class of coupled parabolic-elliptic systems 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. Coupled partial differential equations Elsevier Thermo-chemo-poroelasticity Elsevier Coupled parabolic-elliptic systems Elsevier Coupled diffusion-deformation systems Elsevier Well-posedness Elsevier White, Luther W. oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:486 year:2020 number:2 day:15 month:06 pages:0 https://doi.org/10.1016/j.jmaa.2020.123923 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 486 2020 2 15 0615 0 |
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Global well-posedness theory for a class of coupled parabolic-elliptic systems |
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Malysheva, Tetyana |
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In silico drug repurposing in COVID-19: A network-based analysis |
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In silico drug repurposing in COVID-19: A network-based analysis |
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eng |
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600 - Technology |
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2020 |
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Malysheva, Tetyana |
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610 VZ 44.40 bkl |
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Elektronische Aufsätze |
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Malysheva, Tetyana |
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10.1016/j.jmaa.2020.123923 |
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610 |
| title_sort |
global well-posedness theory for a class of coupled parabolic-elliptic systems |
| title_auth |
Global well-posedness theory for a class of coupled parabolic-elliptic systems |
| abstract |
We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. |
| abstractGer |
We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. |
| abstract_unstemmed |
We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in applications related to the modeling of coupled diffusion and elastic deformation processes in inhomogeneous porous media within a quasi-static assumption. We establish the global existence, uniqueness, and continuous dependence on initial and boundary data of a weak solution to the system. The proof of this result involves the proposed pseudo-decoupling method which reduces the coupled system to an initial-boundary value problem for a single implicit equation and a refined approach to deriving a priori energy estimates based on component-wise contributions of system parameters to energy norms. |
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| title_short |
Global well-posedness theory for a class of coupled parabolic-elliptic systems |
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https://doi.org/10.1016/j.jmaa.2020.123923 |
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| author2 |
White, Luther W. |
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White, Luther W. |
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10.1016/j.jmaa.2020.123923 |
| up_date |
2024-07-06T21:51:28.868Z |
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