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dc.contributor.authorBeck, Margareten_US
dc.contributor.authorNguyen, Toanen_US
dc.contributor.authorSandstede, Bjornen_US
dc.contributor.authorZumbrun, Kevinen_US
dc.date.accessioned2019-04-22T19:02:00Z
dc.date.available2019-04-22T19:02:00Z
dc.date.issued2018-02-21
dc.identifier.citationMargaret Beck, Toan Nguyen, Bjorn Sandstede, Kevin Zumbrun. "Nonlinear stability of source defects in oscillatory media." Preprint, on arXiv https://arxiv.org/abs/1802.07676
dc.identifier.urihttps://hdl.handle.net/2144/34891
dc.description.abstractIn this paper, we prove the nonlinear stability under localized perturbations of spectrally stable time-periodic source defects of reaction-diffusion systems. Consisting of a core that emits periodic wave trains to each side, source defects are important as organizing centers of more complicated flows. Our analysis uses spatial dynamics combined with an instantaneous phase-tracking technique to obtain detailed pointwise estimates describing perturbations to lowest order as a phase-shift radiating outward at a linear rate plus a pair of localized approximately Gaussian excitations along the phase-shift boundaries; we show that in the wake of these outgoing waves the perturbed solution converges time-exponentially to a space-time translate of the original source pattern.en_US
dc.description.urihttps://arxiv.org/abs/1802.07676
dc.relation.ispartofPreprint, on arXiv
dc.subjectSource defecten_US
dc.subjectNonlinear stabilityen_US
dc.subjectSpatial dynamicsen_US
dc.subjectGreen’s functionen_US
dc.subjectMathematicsen_US
dc.subjectAnalysis of PDEsen_US
dc.titleNonlinear stability of source defects in oscillatory mediaen_US
dc.typeArticleen_US
pubs.elements-sourcemanual-entryen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Mathematics & Statisticsen_US
pubs.publication-statusUnpublisheden_US
dc.date.online2018
dc.description.oaversionFirst author draft


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