Show simple item record

dc.contributor.authorBarrionuevo, Jose Afonsopt_BR
dc.contributor.authorOliveira, Lucas da Silvapt_BR
dc.contributor.authorZingano, Paulo Ricardo de Avilapt_BR
dc.date.accessioned2015-09-23T01:58:41Zpt_BR
dc.date.issued2014pt_BR
dc.identifier.issn2356-7082pt_BR
dc.identifier.urihttp://hdl.handle.net/10183/127045pt_BR
dc.description.abstractWe derive general bounds for the large time size of supnorm values β€–𝑢(⋅, 𝑡)β€–𝐿∞(R) of solutions to one-dimensional advectiondiffusion equations 𝑢𝑡 + (𝑏(𝑥, 𝑡)𝑢)𝑥 = 𝑢𝑥𝑥, 𝑥 ∈ R, 𝑡 > 0 with initial data 𝑢(⋅, 0) ∈ 𝐿𝑝 0 (R) ∩ 𝐿∞(R) for some 1 ≤ 𝑝0 < ∞and arbitrary bounded advection speeds 𝑏(𝑥, 𝑡), introducing new techniques based on suitable energy arguments. Some open problems and related results are also given.en
dc.format.mimetypeapplication/pdf
dc.language.isoengpt_BR
dc.relation.ispartofInternational journal of partial differential equations. New York. Vol. 2014 (2014), 8 f. Article ID 450417pt_BR
dc.rightsOpen Accessen
dc.subjectEquaçõespt_BR
dc.titleGeneral asymptotic supnorm estimates for solutions of one-dimensional advection-diffusion equations in heterogeneous mediapt_BR
dc.typeArtigo de periódicopt_BR
dc.identifier.nrb000965270pt_BR
dc.type.originEstrangeiropt_BR
ο»Ώ

Files in this item

Thumbnail
   

This item is licensed under a Creative Commons License

Show simple item record