Verfügbarkeit: Derivation of effective models for reaction-diffusion processes in multi-component media

Derivation of effective models for reaction-diffusion processes in multi-component media: = [Herleitung effektiver Modelle für Reaktions-Diffusions-Prozesse in mehr-komponentigen Medien]

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Bibliographische Detailangaben
Beteilige Person:	Gahn, Markus (VerfasserIn)
Format:	Hochschulschrift/Dissertation Buch
Sprache:	Englisch
Veröffentlicht:	Aachen Shaker Verlag 2017
Schriftenreihe:	Berichte aus der Mathematik
Schlagwörter:	Nichtlineares Randwertproblem Reaktions-Diffusionsgleichung Homogenisierungsmethode effective models homogenization multi-component porous media Hochschulschrift
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029620701&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	293 Seiten Illustrationen 21 cm x 14.8 cm, 440 g
ISBN:	9783844050493

Internformat

MARC


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Datensatz im Suchindex

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adam_text	CONTENTS 1. INTRODUCTION 15 2. EFFECTIVE MODELS FOR TWO BULK-REGIONS SEPARATED BY A THIN LAYER 29 2.1. TWO-SCALE CONVERGENCE AND THE UNFOLDING OPERATOR IN THIN DOMAINS 31 2.1.1. TWO-SCALE CONVERGENCE IN THIN D O M A IN S............................... 31 2.1.2. THE UNFOLDING OPERATOR TEM IN THIN D O M A IN S ..................... -11 2.2. CONTINUOUS TRANSMISSION CONDITIONS ................................................. 17 2.2.1. THE MICROSCOPIC PROBLEM ....................................................... -17 2.2.2. COMPACTNESS RESULTS FOR UF AND UF1 ..................................... 57 2.2.3. THE EFFECTIVE M O D E L................................................................. 69 2.3. NONLINEAR TRANSMISSION CONDITIONS .................................................... 79 2.3.1. THE MICROSCOPIC PROBLEM ....................................................... 60 2.3.2. COMPACTNESS RESULTS FOR UF AND UF1 ..................................... 88 2.3.3. THE EFFECTIVE M O D E L.................................................................... 105 3. HOMOGENIZATION OF REACTION-DIFFUSION PROCESSES IN A TWO-COMPONENT POROUS MEDIUM 111 3.1. SOME RESULTS ABOUT TWO-SCALE CONVERGENCE ........................................ 114 3.1.1. THE GEOMETRICAL SETTING..............................................................114 3.1.2. OVERVIEW OF TWO-SCALE CONVERGENCE AND THE UNFOLDING OPERATOR 115 3.1.3. TWO-SCALE COMPACTNESS RESULTS INCLUDING REGULAR TRACES . . 119 3.2. DERIVATION OF THE MACROSCOPIC P RO B LE M ...............................................133 3.2.1. THE MICROSCOPIC PROBLEM ...........................................................133 3.2.2. COMPACTNESS RESULTS FOR UHE AND UB,E .........................................151 3.2.3. THE MACROSCOPIC M ODEL..............................................................173 4. APPLICATION TO THE CENTRAL CARBON METABOLISM IN PLANT CELLS INCLUDING METABOLIC CHANNELING 180 4.1. SPATIALLY HETEROGENEOUS MODELS FOR CELLULAR M ETAB O LISM ................... 181 4.1.1. DERIVATION OF BOUNDARY CONDITIONS ........................................... 183 4.1.2. THE MICROSCOPIC MODEL FOR THE CARBOHYDRATE METABOLISM . 187 4.2. REACTION KINETICS FOR MULTI-SUBSTRATE ENZYMATIC REA CTIO N S ................ 189 4.2.1. STRUCTURAL CONDITIONS FOR THE NONLINEAR REACTION FUNCTIONS . 191 CONTENTS 4.3. EFFECTIVE MODEL FOR CELLULAR M ETABOLISM ........................................... 195 4.4. IMPLEMENTATION OF THE EFFECTIVE MODEL .................................................. 197 4.4.1. EFFECTIVE COEFFICIENTS WITHOUT WENTZELL-BOUNDARY CONDITION 197 4.4.2. EFFECTIVE COEFFICIENTS INCLUDING WENTZELL-BOUNDARY CONDITION 212 4.4.3. IMPLEMENTATION OF THE MACROSCOPIC P R O B LE M .........................217 4.4.4. SIMULATION RESU LTS.......................................................................220 5 . A CHARACTERIZATION OF RELATIVELY COMPACT SETS IN LP(Q, B) 225 6. SOME RESULTS IN DIFFERENTIAL GEOMETRY 234 6.1. ASPECTS OF DIFFERENTIAL GEOMETRY FOR PERIODIC D O M A IN S .................. 235 6.1.1. THE SPACE L2TM AND SOBOLEV SPACES ON MANIFOLDS .... 236 6.1.2. THE MANIFOLDS F AND FE ...........................................................238 6.1.3. VECTOR FIELDS DEPENDING ON AN ADDITIONAL PARAMETER .... 241 6.1.4. AUXILIARY RESULTS ON DIFFERENTIAL GEOM ETRY ............................... 246 6.1.5. TWO-SCALE CONVERGENCE ON FE FOR VECTOR FIELDS.........................250 6.2. HELMHOLTZ-DECOMPOSITION ON MANIFOLDS................................................259 6.2.1. DIFFERENTIAL FO RM S .......................................................................260 6.2.2. RIESZ-ISOMORPHISM AND H ODGE-STAR-OPERATOR.........................261 6.2.3. EXTERIOR DERIVATIVE, CO-DIFFERENTIAL AND CONTRACTION ............... 264 6.2.4. THE HELMHOLTZ DECOMPOSITION OF L2TM ............................... 267 A. APPENDIX 270 A.L. FUNCTION SPACES AND NORM S................................................................... 270 A.2. THE TRACE O P E R A TO R ............................................................................... 272 A.2.1. THE GENERALIZED NORMAL TRACE O P E R A TO R .................................. 274 A.2.2. TRACE ESTIMATES FOR THIN AND PERIODIC D O M A IN S ...................... 275 A.2.3. PERIODIC BOUNDARY C O N D ITIO N S ................................................. 277 A.3. EXISTENCE RESULT FOR THE GENERALIZED TIME-DERIVATIVE ..................... 280 A.4. A DENSITY R E S U LT ..................................................................................... 283
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author	Gahn, Markus
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physical	293 Seiten Illustrationen 21 cm x 14.8 cm, 440 g
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series2	Berichte aus der Mathematik
spellingShingle	Gahn, Markus Derivation of effective models for reaction-diffusion processes in multi-component media = [Herleitung effektiver Modelle für Reaktions-Diffusions-Prozesse in mehr-komponentigen Medien] Nichtlineares Randwertproblem (DE-588)4129830-5 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Homogenisierungsmethode (DE-588)4257770-6 gnd
subject_GND	(DE-588)4129830-5 (DE-588)4323967-5 (DE-588)4257770-6 (DE-588)4113937-9
title	Derivation of effective models for reaction-diffusion processes in multi-component media = [Herleitung effektiver Modelle für Reaktions-Diffusions-Prozesse in mehr-komponentigen Medien]
title_alt	[Herleitung effektiver Modelle für Reaktions-Diffusions-Prozesse in mehr-komponentigen Medien]
title_auth	Derivation of effective models for reaction-diffusion processes in multi-component media = [Herleitung effektiver Modelle für Reaktions-Diffusions-Prozesse in mehr-komponentigen Medien]
title_exact_search	Derivation of effective models for reaction-diffusion processes in multi-component media = [Herleitung effektiver Modelle für Reaktions-Diffusions-Prozesse in mehr-komponentigen Medien]
title_full	Derivation of effective models for reaction-diffusion processes in multi-component media = [Herleitung effektiver Modelle für Reaktions-Diffusions-Prozesse in mehr-komponentigen Medien] Markus Gahn
title_fullStr	Derivation of effective models for reaction-diffusion processes in multi-component media = [Herleitung effektiver Modelle für Reaktions-Diffusions-Prozesse in mehr-komponentigen Medien] Markus Gahn
title_full_unstemmed	Derivation of effective models for reaction-diffusion processes in multi-component media = [Herleitung effektiver Modelle für Reaktions-Diffusions-Prozesse in mehr-komponentigen Medien] Markus Gahn
title_short	Derivation of effective models for reaction-diffusion processes in multi-component media
title_sort	derivation of effective models for reaction diffusion processes in multi component media herleitung effektiver modelle fur reaktions diffusions prozesse in mehr komponentigen medien
title_sub	= [Herleitung effektiver Modelle für Reaktions-Diffusions-Prozesse in mehr-komponentigen Medien]
topic	Nichtlineares Randwertproblem (DE-588)4129830-5 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Homogenisierungsmethode (DE-588)4257770-6 gnd
topic_facet	Nichtlineares Randwertproblem Reaktions-Diffusionsgleichung Homogenisierungsmethode Hochschulschrift
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029620701&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT gahnmarkus derivationofeffectivemodelsforreactiondiffusionprocessesinmulticomponentmediaherleitungeffektivermodellefurreaktionsdiffusionsprozesseinmehrkomponentigenmedien AT shakerverlag derivationofeffectivemodelsforreactiondiffusionprocessesinmulticomponentmediaherleitungeffektivermodellefurreaktionsdiffusionsprozesseinmehrkomponentigenmedien AT gahnmarkus herleitungeffektivermodellefurreaktionsdiffusionsprozesseinmehrkomponentigenmedien AT shakerverlag herleitungeffektivermodellefurreaktionsdiffusionsprozesseinmehrkomponentigenmedien

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