Premium
Blowup of solutions of the unsteady Prandtl's equation
Author(s) -
E Weinan,
Engquist Bjorn
Publication year - 1997
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199712)50:12<1287::aid-cpa4>3.0.co;2-4
Subject(s) - prandtl number , mathematics , mathematical analysis , turbulent prandtl number , heat equation , mechanics , physics , heat transfer , nusselt number , turbulence , reynolds number
We prove that for certain classes of compactly supported C ∞ initial data, smooth solutions of the unsteady Prandtl's equation blow up in finite time. © 1997 John Wiley & Sons, Inc.