45 research outputs found

    F77 code for the representation of a point cloud in a principal reference frame

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    This paper concerns the numerical determination (F77 code only) of the principal directions of a 3D point cloud and the computation of the rotation angles needed to get the coordinates of the points in a principal reference frame of the same point cloud

    A variant of the energy method: an application to the Benard problem for a viscoelastic rotating fluid.

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    In a previous paper of the second author the nonlinear Lyapunov stability of the thermodiffusive equilibrium of a viscoelastic rotating Walters fluid, in a horizontal rotating layer heated and salted from below was studied. If instability occurs as stationary convection a sufficient condition to ensure the coincidence of linear and nonlinear stability bounds was obtained. In this paper we reconsider the same problem recovering the same result without any restriction on the viscoelasticity parameter

    Neutral manifolds in a penetrative convection problem I. Expansions in Fourier series of the solutions

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    In this paper we initiate the study of a two point eigenvalue problem governing the penetrative convection
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