Shadow limit using renormalization group method and center manifold method
We study a shadow limit (the infinite diffusion coefficient-limit) of a system of ODEs coupled with a semilinear heat equation in a bounded domain with Neumann boundary conditions. In the literature, it was established formally that in the limit, the original semilinear heat equation reduces to an O...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2017
|
| In: |
Vietnam journal of mathematics
Year: 2017, Jahrgang: 45, Heft: 1/2, Pages: 103-125 |
| ISSN: | 2305-2228 |
| DOI: | 10.1007/s10013-016-0199-6 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1007/s10013-016-0199-6 Verlag, Volltext: https://link.springer.com/article/10.1007/s10013-016-0199-6 Verlag, Volltext: https://link.springer.com/content/pdf/10.1007%2Fs10013-016-0199-6.pdf 
|
| Verfasserangaben: | Anna Marciniak-Czochra, Andro Mikelić |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1561215058 | ||
| 003 | DE-627 | ||
| 005 | 20220813202920.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 170726s2017 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s10013-016-0199-6 |2 doi | |
| 035 | |a (DE-627)1561215058 | ||
| 035 | |a (DE-576)491215053 | ||
| 035 | |a (DE-599)BSZ491215053 | ||
| 035 | |a (OCoLC)1340977787 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Marciniak-Czochra, Anna |d 1974- |e VerfasserIn |0 (DE-588)1044379626 |0 (DE-627)771928432 |0 (DE-576)397031505 |4 aut | |
| 245 | 1 | 0 | |a Shadow limit using renormalization group method and center manifold method |c Anna Marciniak-Czochra, Andro Mikelić |
| 264 | 1 | |c 2017 | |
| 300 | |a 23 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a First online 06 May 2016 | ||
| 500 | |a Gesehen am 26.07.2017 | ||
| 520 | |a We study a shadow limit (the infinite diffusion coefficient-limit) of a system of ODEs coupled with a semilinear heat equation in a bounded domain with Neumann boundary conditions. In the literature, it was established formally that in the limit, the original semilinear heat equation reduces to an ODE involving the space averages of the solution to the semilinear heat equation and of the nonlinearity. It is coupled with the original system of ODEs for every space point x. We present derivation of the limit using the renormalization group (RG) and the center manifold approaches. The RG approach provides also further approximating expansion terms. The error estimate in the terms of the inverse of the diffusion coefficient is obtained for the finite time intervals. For the infinite times, the center manifolds for the starting problem and for its shadow limit approximation are compared and it is proved that their distance is of the order of the inverse of the diffusion coefficient. | ||
| 700 | 1 | |a Mikelić, Andro |d 1956- |e VerfasserIn |0 (DE-588)1121241409 |0 (DE-627)874185033 |0 (DE-576)175876932 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Vietnam journal of mathematics |d Singapore : Springer, 1999 |g 45(2017), 1/2, Seite 103-125 |h Online-Ressource |w (DE-627)300183968 |w (DE-600)1481450-X |w (DE-576)273877615 |x 2305-2228 |7 nnas |a Shadow limit using renormalization group method and center manifold method |
| 773 | 1 | 8 | |g volume:45 |g year:2017 |g number:1/2 |g pages:103-125 |g extent:23 |a Shadow limit using renormalization group method and center manifold method |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/s10013-016-0199-6 |x Verlag |x Resolving-System |3 Volltext |
| 856 | 4 | 0 | |u https://link.springer.com/article/10.1007/s10013-016-0199-6 |x Verlag |3 Volltext |
| 856 | 4 | 0 | |u https://link.springer.com/content/pdf/10.1007%2Fs10013-016-0199-6.pdf |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20170726 | ||
| 993 | |a Article | ||
| 994 | |a 2017 | ||
| 998 | |g 1044379626 |a Marciniak-Czochra, Anna |m 1044379626:Marciniak-Czochra, Anna |d 110000 |d 110200 |d 110000 |d 110400 |e 110000PM1044379626 |e 110200PM1044379626 |e 110000PM1044379626 |e 110400PM1044379626 |k 0/110000/ |k 1/110000/110200/ |k 0/110000/ |k 1/110000/110400/ |p 1 |x j | ||
| 999 | |a KXP-PPN1561215058 |e 2975204442 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"part":{"pages":"103-125","year":"2017","volume":"45","text":"45(2017), 1/2, Seite 103-125","issue":"1/2","extent":"23"},"id":{"eki":["300183968"],"issn":["2305-2228"],"zdb":["1481450-X"]},"note":["Gesehen am 26.02.13"],"origin":[{"publisher":"Springer","dateIssuedDisp":"1999-","dateIssuedKey":"1999","publisherPlace":"Singapore"}],"title":[{"title":"Vietnam journal of mathematics","title_sort":"Vietnam journal of mathematics","subtitle":"formerly Tạp chí Toán học (Journal of Mathematics)"}],"type":{"bibl":"periodical","media":"Online-Ressource"},"pubHistory":["Nachgewiesen 1999 -"],"recId":"300183968","disp":"Shadow limit using renormalization group method and center manifold methodVietnam journal of mathematics","language":["eng"],"titleAlt":[{"title":"VJM"}]}],"note":["First online 06 May 2016","Gesehen am 26.07.2017"],"type":{"bibl":"article-journal","media":"Online-Ressource"},"id":{"doi":["10.1007/s10013-016-0199-6"],"eki":["1561215058"]},"physDesc":[{"extent":"23 S."}],"language":["eng"],"title":[{"title":"Shadow limit using renormalization group method and center manifold method","title_sort":"Shadow limit using renormalization group method and center manifold method"}],"recId":"1561215058","name":{"displayForm":["Anna Marciniak-Czochra, Andro Mikelić"]},"origin":[{"dateIssuedKey":"2017","dateIssuedDisp":"2017"}],"person":[{"family":"Marciniak-Czochra","display":"Marciniak-Czochra, Anna","given":"Anna","role":"aut"},{"role":"aut","family":"Mikelić","given":"Andro","display":"Mikelić, Andro"}]} | ||
| SRT | |a MARCINIAKCSHADOWLIMI2017 | ||