Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint

Mathematical Research Letters

Volumn 6, Issue 3-4, 1999, Pages 257-269

  Grenier, E ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033473082     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1999.v6.n3.a1     Document Type: Review

References (11)

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2. [2] Y. Brenier, Stability and breakdown of convex velocity profiles for two dimensional hydrostatic flows, preprint, 1997.
3. [3] -, personal communication.
4. [4] R.E. Caflisch and M. Sanmartino, Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space I. and II., Comm. Math. Phys. 192 (1998), 433-461 and 463-491.
5. [5] P.G. Drazin, W.H. Reid, Hydrodynamic stability, Cambridge monographs on mechanics and applied mathematics, Cambridge University Press, Cambridge-New York, 1981.
6. [6] S. Friedlander, W. Strauss, and M. Vishik, Nonlinear instability in an ideal fluid, Ann. Inst. H. Poincaré Anal. Non Linéaire 14 (1997), 187-209.
7. [7] E. Grenier, Nonlinear instability of Euler and Prandtl equations, preprint, 1997; On the stability of boundary layers for Euler equations, preprint, 1997.
8. [7] E. Grenier, Nonlinear instability of Euler and Prandtl equations, preprint, 1997; On the stability of boundary layers for Euler equations, preprint, 1997.
9. [8] E. Grenier and O. Guès, On the inviscid limit of noncharacteristic nonlinear parabolic systems, J. Differential Equations 143 (1998), 110-146.
10. [9] D. Holm, J. Marsden, and T. Ratiu, Hamiltonian structure and Lyapounov stability for ideal continuum dynamics, Sém. Math. Sup., 100, Presses Univ. Montréal, Montréal, Que., 1986.
11. [10] J. Marsden and T. Ratiu, Nonlinear stability in fluids and plasmas, Seminar on new results in nonlinear partial differential equations (Bonn, 1984), Aspects of Math., E10, Vieweg, Braunschweig, 1987.