A note on Prandtl boundary layers

Communications on Pure and Applied Mathematics

Volumn 64, Issue 10, 2011, Pages 1416-1438

  Guo, Yan ^a   Nguyen, Toan ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79960099628     PISSN: 00103640     EISSN: 10970312     Source Type: Journal    
DOI: 10.1002/cpa.20377     Document Type: Article

References (8)

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2. Gérard-Varet, D.; Dormy, E. On the ill-posedness of the Prandtl equation. J. Amer. Math. Soc. 23 ( 2010), no. 2, 591-609.
3. Gérard-Varet, D.; Nguyen, T. Remarks on the ill-posedness of the Prandtl equation. Preprint, 2010 arXiv:1008.0532v1
4. Grenier, E. On the nonlinear instability of Euler and Prandtl equations. Comm. Pure Appl. Math. 53 ( 2000), no. 9, 1067-1091.
5. Guo, Y.: Tice, I. Compressible, inviscid Rayleigh-Taylor instability. Indiana Univ. Math. J., to appear. arXiv:0911.4098v2.
6. Oleinik, O. A.; Samokhin, V. N. Mathematical models in boundary layer theory. Applied Mathematics and Mathematical Computation, 15. Chapman & Hall/CRC, Boca Raton, Fla., 1999.
7. Prandtl, L. Uber flüssigkeitsbewegung bei sehr kleiner Reibung. Verhandlungen des III. Internationalen Mathematiker Kongresses, Heidelberg, 1904. 484-491. Teubner, Leipzig, 1905.
8. Sammartino, M.; Caflisch, R. E. Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I. Existence for Euler and Prandtl equations. Comm. Math. Phys. 192 ( 1998), no. 2, 433-461.