Love and Rayleigh correction terms and Padé approximants.
Andrianov, I., Awrejcewicz, J. (2007)
Mathematical Problems in Engineering
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Andrianov, I., Awrejcewicz, J. (2007)
Mathematical Problems in Engineering
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Kingsep, A. (1999)
Discrete Dynamics in Nature and Society
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J. Chabassier, A. Chaigne, P. Joly (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The purpose of this study is the time domain modeling of a piano. We aim at explaining the vibratory and acoustical behavior of the piano, by taking into account the main elements that contribute to sound production. The soundboard is modeled as a bidimensional thick, orthotropic, heterogeneous, frequency dependent damped plate, using Reissner Mindlin equations. The vibroacoustics equations allow the soundboard to radiate into the surrounding air, in which we wish to compute the complete...
Zhang, William, Lee, S.G. (1996)
Mathematical Problems in Engineering
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Kovriguine, D.A., Maugin, G.A., Potapov, A.I. (2006)
Mathematical Problems in Engineering
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Rémi Sentis (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We address here mathematical models related to the Laser-Plasma Interaction. After a simplified introduction to the physical background concerning the modelling of the laser propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we state a coupling model between the plasma hydrodynamics and the laser propagation. Lastly, we...
L. E. Halpern, R. Desbrandes (1969)
Annales de l'I.H.P. Physique théorique
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Das, S.K., Das, S.N. (2007)
Mathematical Problems in Engineering
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Mukherjee, Sunil, Sarkar, Saumyendra Nath, Raychaudhuri, Probhas, Mazumdar, Sunil Kumar (1983)
International Journal of Mathematics and Mathematical Sciences
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Ibrahim, R.A., Grace, I.M. (2010)
Mathematical Problems in Engineering
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Joseph Prusa, Piotr Smolarkiewicz, Andrzej Wyszogrodzki (2001)
International Journal of Applied Mathematics and Computer Science
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A 3D nonhydrostatic, Navier-Stokes solver has been employed to simulate gravity wave induced turbulence at mesopause altitudes. This paper extends our earlier 2D study reported in the literature to three spatial dimensions while maintaining fine resolution required to capture essential physics of the wave breaking. The calculations were performed on the 512 processor Cray T3E machine at the National Energy Research Scientific Computing Center (NERSC) in Berkeley. The physical results...