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- W2113429441 abstract "Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi mathvariant=script>I</mml:mi></mml:mrow></mml:math>in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow></mml:math>. By making use of Sobolev embeddings and Gialiardo-Nirenberg inequality we obtain the existence and upper semicontinuity of the pullback attractor in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy=false>(</mml:mo><mml:mi mathvariant=script>I</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>for the equation. The upper semicontinuity shows the stability of attractors under perturbations." @default.
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- W2113429441 date "2014-01-01" @default.
- W2113429441 modified "2023-10-18" @default.
- W2113429441 title "Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise" @default.
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- W2113429441 doi "https://doi.org/10.1155/2014/921750" @default.
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