Remarks on the breakdown of smooth solutions for the 3-D Euler equations

Brezis, H., Gallouet, T.: Nonlinear Schrödinger evolution equations. J. Nonlinear Anal.4, 677?681 (1980)

Chorin, A.: Estimates of intermittency, spectra, and blow-up in developed turbulence. Commun. Pure Appl. Math.34, 853?866 (1981)

Chorin, A.: The evolution of a turbulent vortex. Commun. Math. Phys.83, 517?535 (1982)

Frisch, U., Sulem, P. L., Nelkin, M.: A simple dynamical model of intermittent fully developed turbulence. J. Fluid Mech.87, 719?736 (1978)

Kato, T.: Quasi-linear equations of evolution with applications to partial differential equations. In: Lecture Notes in Mathematics, Vol.448, Berlin, Heidelberg, New York: Springer 25?70 (1975)

Kato, T.: Nonstationary flows of viscous and ideal fluids in ?3. J. Funct. Anal.9, 296?305 (1972)

Kato, T.: Remarks on the Euler and Navier-Stokes equations in ?2. (to appear)

Klainerman, S., Majda, A.: Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Commun. Pure Appl. Math.34, 481?524 (1981)

Majda, A.: Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables. In: Applied Math. Sciences Series, Vol. Berlin, Heidelberg, New York, Tokyo: Springer 1983

Marsden, J., Ebin, D., Fischer, A. E.: Diffeomorphism groups, hydrodynamics and relativity. Proceedings of the thirteenth biennial seminar of the Canadian Math. Congress, Vanstone, J. R. (ed.,) Montreal, 1972

Morf, R., Orszag, S., Frisch, U.: Spontaneous singularity in three-dimensional incompressible flow. Phys. Rev. Lett.44, 572?575 (1980)

Moser, J.: A rapidly convergent iteration method and nonlinear differential equations. Ann. Scuola Norm. Sup. Pisa20, 265?315 (1966)

Temam, R.: Local existence ofC ? solutions of the Euler equations of incompressible perfect fluids. In: Lecture Notes in Mathematics, Vol.565, Berlin, Heidelberg, New York: Springer 184?194 (1976)

Klainerman, S., Ponce, G.: Global, small amplitude solutions to nonlinear wave equations. Commun. Pure Appl. Math.36, (1983)