Blowup of solutions of the unsteady Prandtl's equation

Communications on Pure and Applied Mathematics

Volumn 50, Issue 12, 1997, Pages 1287-1293

  Weinan, E ^b   Engquist, Bjorn ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038911371     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0312(199712)50:12<1287::aid-cpa4>3.0.co;2-4     Document Type: Article

References (6)

1. Asano, K., Zero-viscosity limit of the incompressible Navier-Slokes equation, I, unpublished, and Zero-viscosity limit of the incompressible Navier-Stokes equation, II, Mathematical analysis of fluid and plasma dynamics, I (Kyoto, 1986), Sûrikaisekikenkyûsho Kôkyûroku 656, 1988, pp. 105-128.
2. Chipot, M., and Weissler, F. B., Some blow up results for a nonlinear parabolic equation with a gradient term, SIAM J. Math. Anal. 20, 1989, pp. 886-907.
3. Landau, L., and Lifschitz, E. M., Fluid Mechanics, Pergamon, London, 1976.
4. Oleinik, O., On the mathematical theory of boundary layer for unsteady flow of incompressible fluid, J. Appl. Math. Mech. 30, 1966, pp. 951-974.
5. Sammartino, M., and Caflisch, R. E., Zero viscosity limit for analytic solutions of the Navier-Slokes equation on a half-space, I and II, 1996, preprint.
6. Van Dommelen, L. L., and Shen, S. F., The spontaneous generation of the singularity in a separating laminar boundary layer, J. Comput. Phys. 38, 1980, pp. 125-140.