Buchumschlag

Effective transmission conditions for reaction-diffusion processes in domains separated by an interface

In this paper, we develop multiscale methods appropriate for the homogenization of processes in domains containing thin heterogeneous layers. Our model problem consists of a nonlinear reaction-diffusion system defined in such a domain, and properly scaled in the layer region. Both the period of the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Neuss-Radu, Maria (VerfasserIn) , Jäger, Willi (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: August 17, 2007
In: SIAM journal on mathematical analysis
Year: 2007, Jahrgang: 39, Heft: 3, Pages: 687-720
ISSN:1095-7154
DOI:10.1137/060665452
Online-Zugang:Resolving-System, Volltext: http://dx.doi.org/10.1137/060665452
Verlag, Volltext: https://epubs.siam.org/doi/abs/10.1137/060665452
Volltext
Verfasserangaben:Maria Neuss-Radu and Willi Jäger

MARC

LEADER 00000caa a2200000 c 4500
001 1578216885
003 DE-627
005 20220814205105.0
007 cr uuu---uuuuu
008 180802s2007 xx |||||o 00| ||eng c
024 7 |a 10.1137/060665452  |2 doi 
035 |a (DE-627)1578216885 
035 |a (DE-576)508216885 
035 |a (DE-599)BSZ508216885 
035 |a (OCoLC)1341016158 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 27  |2 sdnb 
100 1 |a Neuss-Radu, Maria  |e VerfasserIn  |0 (DE-588)1074040643  |0 (DE-627)83020654X  |0 (DE-576)181731703  |4 aut 
245 1 0 |a Effective transmission conditions for reaction-diffusion processes in domains separated by an interface  |c Maria Neuss-Radu and Willi Jäger 
264 1 |c August 17, 2007 
300 |a 34 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Gesehen am 02.08.2018 
520 |a In this paper, we develop multiscale methods appropriate for the homogenization of processes in domains containing thin heterogeneous layers. Our model problem consists of a nonlinear reaction-diffusion system defined in such a domain, and properly scaled in the layer region. Both the period of the heterogeneities and the thickness of the layer are of order $\varepsilon.$ By performing an asymptotic analysis with respect to the scale parameter $\varepsilon$ we derive an effective model which consists of the reaction-diffusion equations on two domains separated by an interface together with appropriate transmission conditions across this interface. These conditions are determined by solving local problems on the standard periodicity cell in the layer. Our asymptotic analysis is based on weak and strong two-scale convergence results for sequences of functions defined on thin heterogeneous layers. For the derivation of the transmission conditions, we develop a new method based on test functions of boundary layer type. 
700 1 |a Jäger, Willi  |d 1940-  |e VerfasserIn  |0 (DE-588)132750783  |0 (DE-627)526873094  |0 (DE-576)161561349  |4 aut 
773 0 8 |i Enthalten in  |a Society for Industrial and Applied Mathematics  |t SIAM journal on mathematical analysis  |d Philadelphia, Pa. : SIAM, 1970  |g 39(2007), 3, Seite 687-720  |h Online-Ressource  |w (DE-627)266885411  |w (DE-600)1468406-8  |w (DE-576)078589983  |x 1095-7154  |7 nnas 
773 1 8 |g volume:39  |g year:2007  |g number:3  |g pages:687-720  |g extent:34  |a Effective transmission conditions for reaction-diffusion processes in domains separated by an interface 
856 4 0 |u http://dx.doi.org/10.1137/060665452  |x Resolving-System  |x Verlag  |3 Volltext 
856 4 0 |u https://epubs.siam.org/doi/abs/10.1137/060665452  |x Verlag  |3 Volltext 
951 |a AR 
992 |a 20180802 
993 |a Article 
994 |a 2007 
998 |g 132750783  |a Jäger, Willi  |m 132750783:Jäger, Willi  |d 700000  |d 708000  |d 110000  |d 110200  |d 110000  |d 110400  |e 700000PJ132750783  |e 708000PJ132750783  |e 110000PJ132750783  |e 110200PJ132750783  |e 110000PJ132750783  |e 110400PJ132750783  |k 0/700000/  |k 1/700000/708000/  |k 0/110000/  |k 1/110000/110200/  |k 0/110000/  |k 1/110000/110400/  |p 2  |y j 
998 |g 1074040643  |a Neuss-Radu, Maria  |m 1074040643:Neuss-Radu, Maria  |d 700000  |d 708000  |e 700000PN1074040643  |e 708000PN1074040643  |k 0/700000/  |k 1/700000/708000/  |p 1  |x j 
999 |a KXP-PPN1578216885  |e 3020149037 
BIB |a Y 
SER |a journal 
JSO |a {"language":["eng"],"title":[{"title_sort":"Effective transmission conditions for reaction-diffusion processes in domains separated by an interface","title":"Effective transmission conditions for reaction-diffusion processes in domains separated by an interface"}],"person":[{"family":"Neuss-Radu","given":"Maria","display":"Neuss-Radu, Maria","role":"aut"},{"role":"aut","family":"Jäger","given":"Willi","display":"Jäger, Willi"}],"recId":"1578216885","name":{"displayForm":["Maria Neuss-Radu and Willi Jäger"]},"origin":[{"dateIssuedDisp":"August 17, 2007","dateIssuedKey":"2007"}],"relHost":[{"title":[{"title":"SIAM journal on mathematical analysis","title_sort":"SIAM journal on mathematical analysis"}],"corporate":[{"display":"Society for Industrial and Applied Mathematics","role":"aut"}],"origin":[{"dateIssuedKey":"1970","publisherPlace":"Philadelphia, Pa.","publisher":"SIAM","dateIssuedDisp":"1970-"}],"name":{"displayForm":["Society for Industrial and Applied Mathematics"]},"note":["Gesehen am 28.06.2021"],"physDesc":[{"extent":"Online-Ressource"}],"part":{"volume":"39","text":"39(2007), 3, Seite 687-720","pages":"687-720","year":"2007","issue":"3","extent":"34"},"id":{"eki":["266885411"],"issn":["1095-7154"],"zdb":["1468406-8"]},"language":["eng"],"titleAlt":[{"title":"Journal on mathematical analysis"}],"disp":"Society for Industrial and Applied MathematicsSIAM journal on mathematical analysis","recId":"266885411","type":{"media":"Online-Ressource","bibl":"periodical"},"pubHistory":["1.1970 -"]}],"note":["Gesehen am 02.08.2018"],"physDesc":[{"extent":"34 S."}],"type":{"media":"Online-Ressource","bibl":"article-journal"},"id":{"eki":["1578216885"],"doi":["10.1137/060665452"]}} 
SRT |a NEUSSRADUMEFFECTIVET1720 

Ähnliche Einträge