DOI: 10.1007/bf01215277. On characteristic exponents in turbulence

On characteristic exponents in turbulence

10.1007/bf01215277

Crossref journal-article

Springer Science and Business Media LLC

Communications in Mathematical Physics (297)

Bibliography

Lieb, E. H. (1984). On characteristic exponents in turbulence. Communications in Mathematical Physics, 92(4), 473â480.

Authors 1

Elliott H. Lieb (first)

References 11 Referenced 109

Ruelle, D.: Large volume limit of the distribution of characteristic exponents in turbulence. Commun. Math. Phys.87, 287?302 (1982) (10.1007/BF01218566) / Commun. Math. Phys. by D. Ruelle (1982)
Lieb, E., Thirring, W.: Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities. In: Studies in mathematical physics: essays in honor of Valentine Bargmann, Lieb, E., Simon, B., Wightman, A. (eds.), pp. 269?303. Princeton, NJ: Princeton University Press 1976 / Studies in mathematical physics: essays in honor of Valentine Bargmann by E. Lieb (1976)
Lieb, E., Thirring, W.: Bound for the kinetic energy of fermions which proves the stability of matter. Phys. Rev. Lett.35, 687?689 (1975);35, 1116 (1975) (Erratum) (10.1103/PhysRevLett.35.687) / Phys. Rev. Lett. by E. Lieb (1975)
Cwikel, M.: Weak type estimates for singular values and the number of bound states of Schrödinger operators. Ann. Math.106, 93?100 (1977) (10.2307/1971160) / Ann. Math. by M. Cwikel (1977)
Lieb, E.: Bounds on the eigenvalues of the Laplace and Schrödinger operators. Bull. Am. Math. Soc.82, 751?753 (1976); the details appear in [6] (10.1090/S0002-9904-1976-14149-3) / Bull. Am. Math. Soc. by E. Lieb (1976)
Lieb, E.: The number of bound states of one-body Schrödinger operators and the Weyl problem. Proc. Am. Math. Soc. Symp. in Pure Math, Osserman, R., Weinstein, A. (eds.), Vol. 36, pp. 241?252 (1980). Much of this material is reviewed in Simon, B.: Functional integration and quantum physics, pp. 88?100. New York: Academic Press 1979 / Much of this material is reviewed in Simon, B.: Functional integration and quantum physics, pp. 88?100 by E. Lieb (1980)
Rosenbljum, G.: Distribution of the discrete spectrum of singular differential operators. Dokl. Akad. Nauk SSSR202, 1012?1015 (1972) (MR45 No. 4216). The details are given in: Distribution of the discrete spectrum of singular differential operators. Izv. Vyss. Ucebn. Zaved. Matem.164, 75?86 (1976) [English transl. Sov. Math. (Iz. VUZ)20, 63?71 (1976)] / Dokl. Akad. Nauk SSSR by G. Rosenbljum (1972)
Li, P., Yau, S.-T.: On the Schrödinger equation and the eigenvalue problem. Commun. Math. Phys.88, 309?318 (1983) (10.1007/BF01213210) / Commun. Math. Phys. by P. Li (1983)
Aizenman, M., Lieb, E.: On semiclassical bounds for eigenvalues of Schrödinger operators. Phys. Lett.66 A, 427?429 (1978) (10.1016/0375-9601(78)90385-7) / Phys. Lett. by M. Aizenman (1978)
Glaser, V., Grosse, H., Martin, A.: Bounds on the number of eigenvalues of the Schrödinger operator. Commun. Math. Phys.59, 197?212 (1978) (10.1007/BF01614249) / Commun. Math. Phys. by V. Glaser (1978)
Grosse, H.: Quasiclassical estimates on moments of the energy levels. Austr.52, 89?105 (1980) / Austr. by H. Grosse (1980)

Dates

Type	When
Created	20 years, 6 months ago (Feb. 25, 2005, 5:30 a.m.)
Deposited	6 years, 3 months ago (May 2, 2019, 1:55 a.m.)
Indexed	2 months, 3 weeks ago (May 30, 2025, 10:29 p.m.)
Issued	40 years, 8 months ago (Dec. 1, 1984)
Published	40 years, 8 months ago (Dec. 1, 1984)
Published Print	40 years, 8 months ago (Dec. 1, 1984)

Funders 0

None

BibTeX

@article{Lieb_1984, title={On characteristic exponents in turbulence}, volume={92}, ISSN={1432-0916}, url={http://dx.doi.org/10.1007/bf01215277}, DOI={10.1007/bf01215277}, number={4}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Lieb, Elliott H.}, year={1984}, month=dec, pages={473–480} }

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