On 2D Rayleigh-Taylor instabilities

V. Kamotski; G. Lebeau

Displaying similar documents to “On 2D Rayleigh-Taylor instabilities”

Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition

Kenji Nakanishi, Hideo Takaoka, Yoshio Tsutsumi (2007-2008)

Séminaire Équations aux dérivées partielles

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On the local well-posedness of the KP equations

Nikolay Tzvetkov (2000-2001)

Séminaire Équations aux dérivées partielles

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On second-grade fluids with vanishing viscosity.

Busuioc, V. (2002)

Portugaliae Mathematica. Nova Série

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Bilinear estimates related to the KP equations

Nikolay Tzvetkov (2000)

Journées équations aux dérivées partielles

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We survey some recent results for the KP-II equation. We also give an idea for treating the “bad frequency interactions” of the bilinear estimates in the Fourier transform restriction spaces related to the KP-I equation.

On 3D slightly compressible Euler equations.

Morando, Alessandro, Secchi, Paolo (2004)

Portugaliae Mathematica. Nova Série

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Maximal regularity, the local inverse function theorem, and local well-posedness for the curve shortening flow

Sahbi Boussandel, Ralph Chill, Eva Fašangová (2012)

Czechoslovak Mathematical Journal

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Local well-posedness of the curve shortening flow, that is, local existence, uniqueness and smooth dependence of solutions on initial data, is proved by applying the Local Inverse Function Theorem and $L^{2}$ -maximal regularity results for linear parabolic equations. The application of the Local Inverse Function Theorem leads to a particularly short proof which gives in addition the space-time regularity of the solutions. The method may be applied to general nonlinear evolution equations,...