Antisymmetric hamiltonians: Variational resolutions for Navier-Stokes and other nonlinear evolutions

Communications on Pure and Applied Mathematics

Volumn 60, Issue 5, 2007, Pages 619-653

  Ghoussoub, Nassif ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247214558     PISSN: 00103640     EISSN: 00103640     Source Type: Journal    
DOI: 10.1002/cpa.20176     Document Type: Article

References (15)

1. Auchmuty, G. Variational principles for operator equations and initial value problems. Nonlinear Anal. 12 (1988), no. 5, 531-564.
2. Auchmuty, G. Saddle-points and existence-uniqueness for evolution equations. Differential Integral Equations 6 (1993), no. 5, 1161-1171.
3. Brézis, H.; Ekeland, I. Un principe variationnel associé ácertaines équations paraboliques. Lecas dépendant du temps. C. R. Acad. Sci. Paris Sér. A-B 282 (1976), no. 20, Al197-A1198.
4. Brézis, H.; Ekeland, I. Un principe variationnel associé ácertaines équations paraboliques. Lecas indépendant du temps. C. R. Acad. Sci. Paris Sér. A-B 282 (1976), no. 17, A971-A974.
5. Brézis, H.; Nirenberg, L.; Stampacchia, G. A remark on Ky Fan's minimax principle. Boll. Un. Mat. Ital. (4) 6 (1972), 293-300.
6. Ghoussoub, N. Anti-selfdual Lagrangians: Variational resolutions of non self-adjoint equations and dissipative evolutions. Ann. Inst. H. Poincaré Anal. Non Linéaire, in press.
7. Ghoussoub, N. Selfdual partial differential systems and their Variational principles. Monograph, in press.
8. Ghoussoub, N. Maximal monotone operators are selfdual vector fields and vice-versa. Proc. Amer. Math. Soc., in press.
9. Ghoussoub, N.; Moameni, A. Anti-symmetric Hamiltonians II: Variational resolutions for Navier-Stokes and other nonlinear evolutions. Ann. Inst. H. Poincaré Anal. Non Linéaire, submitted.
10. Ghoussoub, N.; Tzou, L. A variational principle for gradient flows. Math. Ann. 330 (2004), no. 3, 519-549.
11. Ghoussoub, N.; Tzou, L. Anti-selfdual Lagrangians II: Unbounded non self-adjoint operators and evolution equations. Ann. Mat. Pura Appl. (4), in press.
12. Okazawa, N.; Yokota, T. Monotonicity method applied to the complex Ginzburg-Landau and related equations. J. Math. Anal. Appl. 267 (2002), no. 1, 247-263.
13. Pecher, H.; von Wahl, W. Time dependent nonlinear Schrödinger equations. Manuscripta Math. 27(1979), no. 2, 125-157.
14. Shigeta, T. A characterization of m-accretivity and an application to nonlinear Schrödinger type equations. Nonlinear Anal. 10 (1986), no. 9, 823-838.
15. Temam, R. Infinite-dimensional dynamical systems in mechanics and physics. 2nd ed. Applied Mathematical Sciences, 68. Springer, New York, 1997.