A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions
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DOI: 10.1007/s10444-020-09781-3
Abstract: In this paper, we propose a linearly implicit Fourier pseudo-spectral scheme, which preserves the total mass and energy conservation laws for the damped nonlinear Schrödinger equation in three dimensions. With the aid of the semi-norm… read more here.
Keywords: pseudo spectral; fourier pseudo; nonlinear schr; damped nonlinear ... See more keywords
Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations
Sign Up to like & getrecommendations! Published in 2019 at "Opuscula Mathematica"
DOI: 10.7494/opmath.2019.39.2.297
Abstract: Global well-posedness and finite time blow up issues for some strongly damped nonlinear wave equation are investigated in the present paper. For subcritical initial energy by employing the concavity method we show a finite time… read more here.
Keywords: finite time; nonlinear wave; strongly damped; global well ... See more keywords