Global Existence of a Solution for a Multiscale Model Describing Moisture Transport in Concrete Materials

In the previous study [5] we proved the existence of a solution locally in time for a two-scale problem which is given as a mathematical model for moisture transport arising in a concrete carbonation process. The two-scale model consists of a diffusion equation of the relative humidity in a macro do...
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Autor*in:	K. Kumazaki [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch ; Russisch

Erschienen:	2019

Schlagwörter:	two-scale model free boundary problem quasilinear parabolic equation moisture transport

Übergeordnetes Werk:	In: Известия Иркутского государственного университета: Серия "Математика" - Irkutsk State University, 2018, 28(2019), 1, Seite 69-84
Übergeordnetes Werk:	volume:28 ; year:2019 ; number:1 ; pages:69-84

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Katalog-ID:	DOAJ066180589

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allfieldsSound	(DE-627)DOAJ066180589 (DE-599)DOAJ49dca6e32f8541999143abb1dbb352fa DE-627 ger DE-627 rakwb eng rus QA1-939 K. Kumazaki verfasserin aut Global Existence of a Solution for a Multiscale Model Describing Moisture Transport in Concrete Materials 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the previous study [5] we proved the existence of a solution locally in time for a two-scale problem which is given as a mathematical model for moisture transport arising in a concrete carbonation process. The two-scale model consists of a diffusion equation of the relative humidity in a macro domain and the free boundary problems describing a wetting and drying process in infinite micro domains. In this paper, by improving the diffusion equation of the relative humidity based on the experimental result [3; 10], we construct a globally-in-time solution of the two scale model. For the global existence, we obtain uniform estimates and uniform boundedness of the solution with respect to time and use the method of extending local solutions. two-scale model free boundary problem quasilinear parabolic equation moisture transport Mathematics In Известия Иркутского государственного университета: Серия "Математика" Irkutsk State University, 2018 28(2019), 1, Seite 69-84 (DE-627)721347320 (DE-600)2677883-X 25418785 nnns volume:28 year:2019 number:1 pages:69-84 https://doi.org/10.26516/1997-7670.2019.28.69 kostenfrei https://doaj.org/article/49dca6e32f8541999143abb1dbb352fa kostenfrei http://mathizv.isu.ru/en/article/file?id=1298 kostenfrei https://doaj.org/toc/1997-7670 Journal toc kostenfrei https://doaj.org/toc/2541-8785 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 28 2019 1 69-84
language	English Russian
source	In Известия Иркутского государственного университета: Серия "Математика" 28(2019), 1, Seite 69-84 volume:28 year:2019 number:1 pages:69-84
sourceStr	In Известия Иркутского государственного университета: Серия "Математика" 28(2019), 1, Seite 69-84 volume:28 year:2019 number:1 pages:69-84
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	two-scale model free boundary problem quasilinear parabolic equation moisture transport Mathematics
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callnumber-first	Q - Science
author	K. Kumazaki
spellingShingle	K. Kumazaki misc QA1-939 misc two-scale model misc free boundary problem misc quasilinear parabolic equation misc moisture transport misc Mathematics Global Existence of a Solution for a Multiscale Model Describing Moisture Transport in Concrete Materials
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topic_title	QA1-939 Global Existence of a Solution for a Multiscale Model Describing Moisture Transport in Concrete Materials two-scale model free boundary problem quasilinear parabolic equation moisture transport
topic	misc QA1-939 misc two-scale model misc free boundary problem misc quasilinear parabolic equation misc moisture transport misc Mathematics
topic_unstemmed	misc QA1-939 misc two-scale model misc free boundary problem misc quasilinear parabolic equation misc moisture transport misc Mathematics
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title	Global Existence of a Solution for a Multiscale Model Describing Moisture Transport in Concrete Materials
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title_sort	global existence of a solution for a multiscale model describing moisture transport in concrete materials
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title_auth	Global Existence of a Solution for a Multiscale Model Describing Moisture Transport in Concrete Materials
abstract	In the previous study [5] we proved the existence of a solution locally in time for a two-scale problem which is given as a mathematical model for moisture transport arising in a concrete carbonation process. The two-scale model consists of a diffusion equation of the relative humidity in a macro domain and the free boundary problems describing a wetting and drying process in infinite micro domains. In this paper, by improving the diffusion equation of the relative humidity based on the experimental result [3; 10], we construct a globally-in-time solution of the two scale model. For the global existence, we obtain uniform estimates and uniform boundedness of the solution with respect to time and use the method of extending local solutions.
abstractGer	In the previous study [5] we proved the existence of a solution locally in time for a two-scale problem which is given as a mathematical model for moisture transport arising in a concrete carbonation process. The two-scale model consists of a diffusion equation of the relative humidity in a macro domain and the free boundary problems describing a wetting and drying process in infinite micro domains. In this paper, by improving the diffusion equation of the relative humidity based on the experimental result [3; 10], we construct a globally-in-time solution of the two scale model. For the global existence, we obtain uniform estimates and uniform boundedness of the solution with respect to time and use the method of extending local solutions.
abstract_unstemmed	In the previous study [5] we proved the existence of a solution locally in time for a two-scale problem which is given as a mathematical model for moisture transport arising in a concrete carbonation process. The two-scale model consists of a diffusion equation of the relative humidity in a macro domain and the free boundary problems describing a wetting and drying process in infinite micro domains. In this paper, by improving the diffusion equation of the relative humidity based on the experimental result [3; 10], we construct a globally-in-time solution of the two scale model. For the global existence, we obtain uniform estimates and uniform boundedness of the solution with respect to time and use the method of extending local solutions.
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