A global uniqueness result for an evolution problem arising in superconductivity

Bollettino dell'Unione Matematica Italiana

Volumn 2, Issue 2, 2009, Pages 509-528

  Mainini, Edoardo ^a  

^a SCUOLA NORMALE SUPERIORE   (Italy)

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EID: 68149131415     PISSN: 19726724     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. L. AMBROSIO - W. GANGBO, Hamiltonian ODE's in the Wasserstein space of probability measures, Comm. Pure Appl. Math., LXI, no. 1 (2008), 18-53.
2. L. AMBROSIO-S.SERFATY, A gradient flow approach to an evolution problem arising in superconductivity, Comm. Pure Appl. Math., LXI, no. 11 (2008), 1495-1539.
3. L. AMBROSIO - N. GIGLI - G. SAVARÉ, Gradient flows in metric spaces and in the spaces of probability measures, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel (2005).
4. J. S. CHAPMAN - J. RUBINSTEIN - M. SCHATZMAN, A mean-field model for superconducting vortices, Eur. J. Appl. Math., 7, no. 2 (1996), 97-111.
5. R. JORDAN - D. KINDERLEHRER - F. OTTO, The variational formulation of the Fokker-Planck equation, SIAM J. Math. Anal., 29 (1998), 1-17.
6. F. OTTO, The geometry of dissipative evolution equations: the porousmedium equation, Comm. PDE, 26 (2001), 101-174.
7. E. SANDIER - S. SERFATY, A Rigorous Derivation of a Free-Boundary Problem Arising in Superconductivity, Ann. Scien. Ecole Normale Supérieure, 4e ser 33 (2000), 561-592.
8. E. SANDIER - S. SERFATY, Limiting Vorticities for the Ginzburg-Landau equations, Duke Math. J., 117 (2003), 403-446.
9. C. VILLANI, Topics in optimal transportation, Graduate Studies in Mathematics 58, American Mathematical Society, Providence, RI, (2003).
10. V. YUDOVICH, Nonstationary flow of an ideal incompressible liquid, Zhurn. Vych. Mat., 3 (1963), 1032-1066.
11. V. YUDOVICH, Some bounds for solutions of elliptic equations, Mat. Sb., 59 (1962), 229-244;
12. English transl. in Amer. Mat. Soc. Transl. (2), 56 (1962).