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Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation
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Li, Dong and Rodrigo, Jose L. (2008) Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation. Advances in Mathematics, Vol.217 (No.6). pp. 2563-2568. doi:10.1016/j.aim.2007.11.002 ISSN 0001-8708.
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Official URL: http://dx.doi.org/10.1016/j.aim.2007.11.002
Abstract
We study a 1D transport equation with nonlocal velocity and supercritical dissipation. We show that for a certain class of initial data the solution blows up in finite time. (C) 2007 Elsevier Inc. All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Supercritical fluids, Blowing up (Algebraic geometry), Hilbert transform | ||||
Journal or Publication Title: | Advances in Mathematics | ||||
Publisher: | Academic Press | ||||
ISSN: | 0001-8708 | ||||
Official Date: | 1 April 2008 | ||||
Dates: |
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Volume: | Vol.217 | ||||
Number: | No.6 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 2563-2568 | ||||
DOI: | 10.1016/j.aim.2007.11.002 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | National Science Foundation (U.S.) (NSF), Spain. Ministerio de Educación y Cultura (MEC) | ||||
Grant number: | DMS-0111298 (NSF), MTM2005-05980-C02-01 (MEC) |
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