Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect (Q523845)
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scientific article; zbMATH DE number 6707483
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect |
scientific article; zbMATH DE number 6707483 |
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Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect (English)
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24 April 2017
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The authors consider a model based on a one-dimensional nonlinear Schrödinger equation with a self-attractive cubic nonlinearity, an attractive delta-functional potential, an external driving force (a free term in the equation), and a linear dissipation term. The model is treated as a dynamical system with infinitely many degrees of freedom. The asymptotic evolution of the solutions is rigorously analyzed, and the existence of a global attractor is proved.
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global attractor
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nonlinear Schrödinger equation
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