Front formation in an active scalar equation

Citation
P. Constantin et al., Front formation in an active scalar equation, PHYS REV E, 60(3), 1999, pp. 2858-2863
Citations number
14
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
3
Year of publication
1999
Pages
2858 - 2863
Database
ISI
SICI code
1063-651X(199909)60:3<2858:FFIAAS>2.0.ZU;2-E
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 ea rlier candidate for finite-time blowup, the front forms in a generalized se lf-similar way with constant hyperbolicity at the center. The behavior belo ngs to a class of scenarios for which finite-time blowup is impossible. A s ystematic exploration of many different initial conditions reveals no evide nce of singular solutions. [S1063-651X(99)10107-7].