On spectral problems related to a time dependent model in superconductivity with electric current

Bernard Helffer[1]

  • [1] Mathématiques, Bat. 425, Université Paris-Sud 11, 91405 Orsay Cedex, UMR 8628 du CNRS

Journées Équations aux dérivées partielles (2009)

  • page 1-16
  • ISSN: 0752-0360

Abstract

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This lecture is mainly inspired by a paper of Y. Almog appearing last year at Siam J. Math. Anal. Our goal here is first to discuss in detail the simplest models which we think are enlightning for understanding the role of the pseudospectra in this question and secondly to present proofs which will have some general character and will for example apply in a more physical model, for which we have obtained recently results together with Y. Almog and X. Pan.

How to cite

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Helffer, Bernard. "On spectral problems related to a time dependent model in superconductivity with electric current." Journées Équations aux dérivées partielles (2009): 1-16. <http://eudml.org/doc/116374>.

@article{Helffer2009,
abstract = {This lecture is mainly inspired by a paper of Y. Almog appearing last year at Siam J. Math. Anal. Our goal here is first to discuss in detail the simplest models which we think are enlightning for understanding the role of the pseudospectra in this question and secondly to present proofs which will have some general character and will for example apply in a more physical model, for which we have obtained recently results together with Y. Almog and X. Pan.},
affiliation = {Mathématiques, Bat. 425, Université Paris-Sud 11, 91405 Orsay Cedex, UMR 8628 du CNRS},
author = {Helffer, Bernard},
journal = {Journées Équations aux dérivées partielles},
language = {eng},
month = {6},
pages = {1-16},
publisher = {Groupement de recherche 2434 du CNRS},
title = {On spectral problems related to a time dependent model in superconductivity with electric current},
url = {http://eudml.org/doc/116374},
year = {2009},
}

TY - JOUR
AU - Helffer, Bernard
TI - On spectral problems related to a time dependent model in superconductivity with electric current
JO - Journées Équations aux dérivées partielles
DA - 2009/6//
PB - Groupement de recherche 2434 du CNRS
SP - 1
EP - 16
AB - This lecture is mainly inspired by a paper of Y. Almog appearing last year at Siam J. Math. Anal. Our goal here is first to discuss in detail the simplest models which we think are enlightning for understanding the role of the pseudospectra in this question and secondly to present proofs which will have some general character and will for example apply in a more physical model, for which we have obtained recently results together with Y. Almog and X. Pan.
LA - eng
UR - http://eudml.org/doc/116374
ER -

References

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  3. Y. Almog, B. Helffer, and X. Pan. Superconductivity near the normal state under the action of electric currents and induced magnetic field in . Preprint September 2009, submitted. Zbl1201.35179
  4. Y. Almog, C. Han, B. Helffer, and X. Pan. Critical magnetic field and critical current of type II superconductors. In preparation. 
  5. P. Bauman, H. Jadallah, and D. Phillips. Classical solutions to the time-dependent Ginzburg-Landau equations for a bounded superconducting body in a vacuum. J. Math. Phys., 46 (2005), p. 095104, 25. Zbl1111.35071MR2171207
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