Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
Jerry L. Bona, Zoran Grujić, Henrik Kalisch (2005)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Spatial analyticity of solutions of a nonlocal perturbation of the KdV equation.”
Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
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On local motion of a compressible barotropic viscous fluid bounded by a free surface
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We consider the motion of a viscous compressible barotropic fluid in ℝ³ bounded by a free surface which is under constant exterior pressure, both with surface tension and without it. In the first case we prove local existence of solutions in anisotropic Hilbert spaces with noninteger derivatives. In the case without surface tension the anisotropic Sobolev spaces with integration exponent p > 3 are used to omit the coefficients which are increasing functions of 1/T, where T is the...
Non-homogeneous boundary value problems for the Korteweg–de Vries and the Korteweg–de Vries–Burgers equations in a quarter plane
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On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface
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We consider the motion of a viscous compressible barotropic fluid in bounded by a free surface which is under constant exterior pressure. For a given initial density, initial domain and initial velocity we prove the existence of local-in-time highly regular solutions. Next assuming that the initial density is sufficiently close to a constant, the initial pressure is sufficiently close to the external pressure, the initial velocity is sufficiently small and the external force vanishes...