Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Finite time analyticity for the two- and three-dimensional Rayleigh-Taylor instability

Authors: C. Sulem and P.-L. Sulem
Journal: Trans. Amer. Math. Soc. 287 (1985), 127-160
MSC: Primary 76E99
MathSciNet review: 766210
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The Rayleigh-Taylor instability refers to the dynamics of the interface between two ideal irrotational fluids of different densities superposed one over the other and in relative motion. The well-posedness of this problem is considered for two- and three-dimensional flows in the entire space and in the presence of a horizontal bottom. In the entire space, finite time analyticity of the interface is proven when the initial interface has sufficiently small gradients and is flat at infinity. In the presence of a horizontal bottom, the initial interface corrugations has also to be small initially but it is not required to vanish at infinity.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 76E99

Retrieve articles in all journals with MSC: 76E99

Additional Information

PII: S 0002-9947(1985)0766210-5
Keywords: Raleigh-Taylor instability, analyticity, well-posedness
Article copyright: © Copyright 1985 American Mathematical Society