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Volume 22, Issue 3
On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover

Shuhong Chen & Boling Guo

DOI: 10.4208/jpde.v22.n3.3

J. Part. Diff. Eq., 22 (2009), pp. 218-233.

Published online: 2009-08

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  • Abstract

In this paper we investigate time-dependent Ginzburg-Landau equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the Fermion-Boson model. We obtain the global existence and uniqueness of solution to the equations in various spatial dimensions.

  • Keywords

Global existence uniqueness time-dependent Ginzburg-Landau theory BCS-BEC crossover Galerkin method

  • AMS Subject Headings

35Q55 35J20 35K22

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-22-218, author = {Shuhong Chen and Boling Guo }, title = {On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover}, journal = {Journal of Partial Differential Equations}, year = {2009}, volume = {22}, number = {3}, pages = {218--233}, abstract = {

In this paper we investigate time-dependent Ginzburg-Landau equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the Fermion-Boson model. We obtain the global existence and uniqueness of solution to the equations in various spatial dimensions.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v22.n3.3}, url = {http://global-sci.org/intro/article_detail/jpde/5255.html} }
TY - JOUR T1 - On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover AU - Shuhong Chen & Boling Guo JO - Journal of Partial Differential Equations VL - 3 SP - 218 EP - 233 PY - 2009 DA - 2009/08 SN - 22 DO - http://doi.org/10.4208/jpde.v22.n3.3 UR - https://global-sci.org/intro/article_detail/jpde/5255.html KW - Global existence KW - uniqueness KW - time-dependent Ginzburg-Landau theory KW - BCS-BEC crossover KW - Galerkin method AB -

In this paper we investigate time-dependent Ginzburg-Landau equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the Fermion-Boson model. We obtain the global existence and uniqueness of solution to the equations in various spatial dimensions.

Shuhong Chen and Boling Guo . (2009). On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover. Journal of Partial Differential Equations. 22 (3). 218-233. doi:10.4208/jpde.v22.n3.3
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