Hopf Bifurcation from Fronts in the Cahn-Hilliard Equation
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| 024 | 7 | 0 | |a 10.1007/s00205-015-0853-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0853-2 | ||
| 245 | 0 | 0 | |a Hopf Bifurcation from Fronts in the Cahn-Hilliard Equation |h [Elektronische Daten] |c [Ryan Goh, Arnd Scheel] |
| 520 | 3 | |a We study Hopf bifurcation from traveling-front solutions in the Cahn-Hilliard equation. The primary front is induced by a moving source term. Models of this form have been used to study a variety of physical phenomena, including pattern formation in chemical deposition and precipitation processes. Technically, we study bifurcation in the presence of an essential spectrum. We contribute a simple and direct functional analytic method and determine bifurcation coefficients explicitly. Our approach uses exponential weights to recover Fredholm properties and spectral flow ideas to compute Fredholm indices. Simple mass conservation helps compensate for negative indices. We also construct an explicit, prototypical example, prove the existence of a bifurcating front, and determine the direction of bifurcation. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Goh |D Ryan |u School of Mathematics, University of Minnesota, 206 Church St., 55455, Minneapolis, SE, USA |4 aut | |
| 700 | 1 | |a Scheel |D Arnd |u School of Mathematics, University of Minnesota, 206 Church St., 55455, Minneapolis, SE, USA |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/3(2015-09-01), 1219-1263 |x 0003-9527 |q 217:3<1219 |1 2015 |2 217 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0853-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0853-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Goh |D Ryan |u School of Mathematics, University of Minnesota, 206 Church St., 55455, Minneapolis, SE, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Scheel |D Arnd |u School of Mathematics, University of Minnesota, 206 Church St., 55455, Minneapolis, SE, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/3(2015-09-01), 1219-1263 |x 0003-9527 |q 217:3<1219 |1 2015 |2 217 |o 205 | ||