caa a22 4500 605515530 CHVBK 20210128100709.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00205-015-0853-2 doi (NATIONALLICENCE)springer-10.1007/s00205-015-0853-2 Hopf Bifurcation from Fronts in the Cahn-Hilliard Equation [Elektronische Daten] [Ryan Goh, Arnd Scheel] 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. Springer-Verlag Berlin Heidelberg, 2015 Goh Ryan School of Mathematics, University of Minnesota, 206 Church St., 55455, Minneapolis, SE, USA aut Scheel Arnd School of Mathematics, University of Minnesota, 206 Church St., 55455, Minneapolis, SE, USA aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/3(2015-09-01), 1219-1263 0003-9527 217:3<1219 2015 217 205 https://doi.org/10.1007/s00205-015-0853-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-015-0853-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Goh Ryan School of Mathematics, University of Minnesota, 206 Church St., 55455, Minneapolis, SE, USA aut NATIONALLICENCE 700 1- Scheel Arnd School of Mathematics, University of Minnesota, 206 Church St., 55455, Minneapolis, SE, USA aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/3(2015-09-01), 1219-1263 0003-9527 217:3<1219 2015 217 205