Phys. Rev. E 60, 2858–2863 (1999)Front formation in an active scalar equationReceived 21 December 1998; published in the issue dated September 1999 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.60.2858
DOI:
10.1103/PhysRevE.60.2858
PACS:
47.10.+g, 02.60.-x
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