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dc.contributor.authorDrábek, Pavel
dc.contributor.authorZahradníková, Michaela
dc.date.accessioned2021-10-25T10:00:25Z-
dc.date.available2021-10-25T10:00:25Z-
dc.date.issued2021
dc.identifier.citationDRÁBEK, P. ZAHRADNÍKOVÁ, M. Traveling waves for unbalanced bistable equation with density dependent diffusion. Electronic Journal of Differential Equations, 2021, roč. 2021, č. 76, s. 1-21. ISSN: 1072-6691cs
dc.identifier.issn1072-6691
dc.identifier.uri2-s2.0-85115746667
dc.identifier.urihttp://hdl.handle.net/11025/45527
dc.format21 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherDepartment of Mathematics of Texas State Universityen
dc.relation.ispartofseriesElectronic Journal of Differential Equationsen
dc.rights© Creative Commons Attribution 4.0 Internationalen
dc.titleTraveling waves for unbalanced bistable equation with density dependent diffusionen
dc.typečlánekcs
dc.typearticleen
dc.rights.accessopenAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedWe study the existence and qualitative properties of traveling wave solutions for the unbalanced bistable reaction-diffusion equation with a rather general density dependent diffusion coeffcient. In particular, it allows for singularities and/or degenerations as well as discontinuities of the fi rst kind at a fi nite number of points. The reaction term vanishes at equilibria and it is a continuous, possibly non-Lipschitz function. We prove the existence of a unique speed of propagation and a unique traveling wave pro le (up to translation) which is a non-smooth function in general. In the case of the power-type behavior of the diffusion and reaction near equilibria we provide detailed asymptotic analysis of the pro le.en
dc.subject.translateddensity dependent diffusionen
dc.subject.translatedunbalanced bistable reaction termen
dc.subject.translateddegenerate and singular diffusionen
dc.subject.translatedtraveling waveen
dc.subject.translateddegenerate non-Lipschitz reactionen
dc.type.statusPeer-revieweden
dc.identifier.document-number700793400001
dc.identifier.obd43933394
dc.project.IDSGS-2019-010/Kvalitativní a kvantitativní studium matematických modelů IV.cs
Vyskytuje se v kolekcích:Články / Articles (KMA)
OBD

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