General Asymptotic Supnorm Estimates for Solutions of One-Dimensional Advection-Diffusion Equations in Heterogeneous Media
Joint Authors
Zingano, Paulo R.
Barrionuevo, José A.
Oliveira, Lucas S.
Source
International Journal of Partial Differential Equations
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We derive general bounds for the large time size of supnorm values ∥u(·,t)∥L∞(ℝ) of solutions to one-dimensional advection-diffusion equations ut+(b(x,t)u)x=uxx,x∈ℝ,t>0 with initial data u(·,0)∈Lp0(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.
American Psychological Association (APA)
Barrionuevo, José A.& Oliveira, Lucas S.& Zingano, Paulo R.. 2014. General Asymptotic Supnorm Estimates for Solutions of One-Dimensional Advection-Diffusion Equations in Heterogeneous Media. International Journal of Partial Differential Equations،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-472537
Modern Language Association (MLA)
Barrionuevo, José A.…[et al.]. General Asymptotic Supnorm Estimates for Solutions of One-Dimensional Advection-Diffusion Equations in Heterogeneous Media. International Journal of Partial Differential Equations No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-472537
American Medical Association (AMA)
Barrionuevo, José A.& Oliveira, Lucas S.& Zingano, Paulo R.. General Asymptotic Supnorm Estimates for Solutions of One-Dimensional Advection-Diffusion Equations in Heterogeneous Media. International Journal of Partial Differential Equations. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-472537
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472537
