On the dynamical Rayleigh-Taylor instability

Archive for Rational Mechanics and Analysis

Volumn 167, Issue 3, 2003, Pages 235-253

  Hwang, Hyung Ju ^a   Guo, Yan ^b  

^a MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

^b BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038129931     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-003-0243-z     Document Type: Article

References (10)

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3. GRENIER, E.: On the nonlinear instability of Euler and Prandtl equations. Commun. Pure Appl. Math. 53, 1067-1091 (2000)
4. GUO, Y., STRAUSS, W.: Instability of periodic BGK equilibria. Commun. Pure Appl. Math. 48, 861-894 (1995)
5. CHERFILS-CLÉOUIN, C., LAFITTE, O., RAVIART, P-A.: Asymptotic results for the linear stage of the Rayleigh-Taylor instability. Mathematical fluid mechanics, Adv. Math. Fluid Mech., Birkhäser, Basel, 47-71 (2001)
6. LAFITTE, O.: Sur la phase linéaire de l'instabilité de Rayleigh-Taylor. Séminaire Equations aux Dérivées Partielles du Centre de Mathématiques de l'Ecole Polytechnique, Année 2000-2001
7. HELFFER, B., LAFITTE, O.: On spectral questions around the Rayleigh equation. Preprint
8. RAYLEIGH, L.: Analytic solutions of the Rayleigh equation for linear density profiles. Proc. London. Math. Soc. 14, 170-177 (1883)
9. CHANDRASEKHAR, S.: Hydrodynamic and hydromagnetic stability. The International Series of Monographs on Physics Clarendon Press, Oxford, 1961
10. LIONS, P-L.: Mathematical topics in fluid mechanics, Vol. 1 Incompressible models. The Clarendon Press, Oxford University Press, 1996