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Title: Front formation in an active scalar equation

Abstract

We study the formation of thermal fronts in an active scalar equation that is similar to the Euler equation. For a particular initial condition, an earlier candidate for finite-time blowup, the front forms in a generalized self-similar way with constant hyperbolicity at the center. The behavior belongs to a class of scenarios for which finite-time blowup is impossible. A systematic exploration of many different initial conditions reveals no evidence of singular solutions. [copyright] [ital 1999] [ital The American Physical Society]

Authors:
;  [1];  [2]
  1. (Department of Mathematics, The University of Chicago, 5734 South University Avenue, Chicago, Illinois 60637 (United States))
  2. (James Franck Institute, The University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637 (United States))
Publication Date:
OSTI Identifier:
6466347
Alternate Identifier(s):
OSTI ID: 6466347
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 60:3; Journal ID: ISSN 1063-651X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FLUID FLOW; PARTIAL DIFFERENTIAL EQUATIONS; SCALAR FIELDS; TEMPERATURE DISTRIBUTION; DIFFERENTIAL EQUATIONS; EQUATIONS 661300* -- Other Aspects of Physical Science-- (1992-)

Citation Formats

Constantin, P., Nie, Q., and Schoerghofer, N. Front formation in an active scalar equation. United States: N. p., 1999. Web. doi:10.1103/PhysRevE.60.2858.
Constantin, P., Nie, Q., & Schoerghofer, N. Front formation in an active scalar equation. United States. doi:10.1103/PhysRevE.60.2858.
Constantin, P., Nie, Q., and Schoerghofer, N. Wed . "Front formation in an active scalar equation". United States. doi:10.1103/PhysRevE.60.2858.
@article{osti_6466347,
title = {Front formation in an active scalar equation},
author = {Constantin, P. and Nie, Q. and Schoerghofer, N.},
abstractNote = {We study the formation of thermal fronts in an active scalar equation that is similar to the Euler equation. For a particular initial condition, an earlier candidate for finite-time blowup, the front forms in a generalized self-similar way with constant hyperbolicity at the center. The behavior belongs to a class of scenarios for which finite-time blowup is impossible. A systematic exploration of many different initial conditions reveals no evidence of singular solutions. [copyright] [ital 1999] [ital The American Physical Society]},
doi = {10.1103/PhysRevE.60.2858},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
issn = {1063-651X},
number = ,
volume = 60:3,
place = {United States},
year = {1999},
month = {9}
}