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Volume 10, Issue 2
On the Number of Determining Nodes for the Generalized Ginzburg-Landau Equation

Hongjun Gao & Boling Guo

J. Part. Diff. Eq., 10 (1997), pp. 97-106.

Published online: 1997-10

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  • Abstract
In this paper, we obtain that the number of determining nodes for the generalized Ginzburg-Landau equation is two closely points, as a consequence, an upper bound for the winding number of stationary is established in terrns of the parameters in the equation. It is also proven that the fractal dimension of the set of stationary solution is less than or equal to 4.
  • Keywords

Generalized Ginzburg-Landau equation determining nodes winding number stationary solutions

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@Article{JPDE-10-97, author = {Hongjun Gao and Boling Guo }, title = {On the Number of Determining Nodes for the Generalized Ginzburg-Landau Equation}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {2}, pages = {97--106}, abstract = { In this paper, we obtain that the number of determining nodes for the generalized Ginzburg-Landau equation is two closely points, as a consequence, an upper bound for the winding number of stationary is established in terrns of the parameters in the equation. It is also proven that the fractal dimension of the set of stationary solution is less than or equal to 4.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5584.html} }
TY - JOUR T1 - On the Number of Determining Nodes for the Generalized Ginzburg-Landau Equation AU - Hongjun Gao & Boling Guo JO - Journal of Partial Differential Equations VL - 2 SP - 97 EP - 106 PY - 1997 DA - 1997/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5584.html KW - Generalized Ginzburg-Landau equation KW - determining nodes KW - winding number KW - stationary solutions AB - In this paper, we obtain that the number of determining nodes for the generalized Ginzburg-Landau equation is two closely points, as a consequence, an upper bound for the winding number of stationary is established in terrns of the parameters in the equation. It is also proven that the fractal dimension of the set of stationary solution is less than or equal to 4.
Hongjun Gao and Boling Guo . (1997). On the Number of Determining Nodes for the Generalized Ginzburg-Landau Equation. Journal of Partial Differential Equations. 10 (2). 97-106. doi:
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