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Volumn 293, Issue 2, 2009, Pages 519-543

Entire solutions of hydrodynamical equations with exponential dissipation

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EID: 77952390259     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-009-0916-z     Document Type: Article
Times cited : (10)

References (42)
  • 2
    • 3543151404 scopus 로고    scopus 로고
    • Singularities of Euler flow? Not out of the blue!
    • Frisch, U., Matsumoto, T., Bec, J.: Singularities of Euler flow? Not out of the blue! J. Stat. Phys. 113, 761-781 (2003)
    • (2003) J. Stat. Phys. , vol.113 , pp. 761-781
    • Frisch, U.1    Matsumoto, T.2    Bec, J.3
  • 3
    • 47049096148 scopus 로고    scopus 로고
    • Euler equations of incompressible ideal fluids
    • Bardos, C., Titi, E.S.: Euler equations of incompressible ideal fluids. Usp. Mat. Nauk 62, 5-46 (2007). English version Russ. Math. Surv. 62, 409-451 (2007)
    • (2007) Usp. Mat. Nauk , vol.62 , pp. 5-46
    • Bardos, C.1    Titi, E.S.2
  • 4
    • 35748978223 scopus 로고    scopus 로고
    • English version Russ
    • Bardos, C., Titi, E.S. English version Russ. Math. Surv. 62, 409-451 (2007)
    • (2007) Math. Surv. , vol.62 , pp. 409-451
    • Bardos, C.1    Titi, E.S.2
  • 5
    • 41849149355 scopus 로고    scopus 로고
    • OntheEuler equations of incompressible fluids
    • Constantin, P.:OntheEuler equations of incompressible fluids. Bull. Amer. Math. Soc. 44, 603-621 (2007)
    • (2007) Bull. Amer. Math. Soc. , vol.44 , pp. 603-621
    • Constantin, P.1
  • 6
    • 77950861607 scopus 로고    scopus 로고
    • Proceedings of "Euler Equations: 250 Years On"
    • (Aussois, June 18-23, 2007)
    • Eyink, G., Frisch, U., Moreau, R., Sobolevskiǐ, A.: Proceedings of "Euler Equations: 250 Years On", (Aussois, June 18-23, 2007), Physica D 237(14-17) (2008)
    • (2008) Physica D , vol.237 , pp. 14-17
    • Eyink, G.1    Frisch, U.2    Moreau, R.3    Sobolevskiǐ, A.4
  • 9
    • 0037778796 scopus 로고    scopus 로고
    • Millenium problems of the Clay Mathematics Institute, Available at
    • Fefferman, C.: Existence & smoothness of the Navier-Stokes equation. Millenium problems of the Clay Mathematics Institute (2000). Available at www.claymath.org/millennium/Navier-Stokes_Equations/ Official_Problem_Description.pdf
    • (2000) Existence & smoothness of the Navier-Stokes equation
    • Fefferman, C.1
  • 10
    • 33645918199 scopus 로고    scopus 로고
    • Navier-Stokes Equations
    • Revised edition. With an appendix by F. Thomasset. Published by AMS Bookstore. Providence, RI: Amer. Math. Soc
    • Temam, R.: Navier-Stokes Equations. Theory and numerical analysis. Revised edition. With an appendix by F. Thomasset. Published by AMS Bookstore. Providence, RI: Amer. Math. Soc., 2001
    • (2001) Theory and numerical analysis
    • Temam, R.1
  • 13
    • 0009350869 scopus 로고
    • Recent theories of turbulence (1949)
    • 6, ed. A.H. Taub, New York: Pergamon Press
    • vonNeumann, J.:Recent theories of turbulence (1949), In: Collected works (1949-1963) 6, ed. A.H. Taub, New York: Pergamon Press, 1963, pp. 37-472
    • (1963) Collected works (1949-1963) , pp. 37-472
    • vonNeumann, J.1
  • 14
    • 43649095493 scopus 로고    scopus 로고
    • Blow-ups of complex solutions of the 3D Navier-Stokes system and renormalization group method
    • Li, D., Sinai, Ya.G.: Blow-ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. J. Eur. Math. Soc. 10, 267-313 (2008)
    • (2008) J. Eur. Math. Soc. , vol.10 , pp. 267-313
    • Li, D.1    Sinai, Y.G.2
  • 15
    • 0035920061 scopus 로고    scopus 로고
    • On the domain of analyticity for solutions of second order analytic nonlinear differential equations
    • Oliver, M., Titi, E.S.: On the domain of analyticity for solutions of second order analytic nonlinear differential equations. J. Diff. Eq. 174, 55-74 (2001)
    • (2001) J. Diff. Eq. , vol.174 , pp. 55-74
    • Oliver, M.1    Titi, E.S.2
  • 16
    • 14844359185 scopus 로고    scopus 로고
    • Lagrangian singularities of steady two-dimensional flow
    • Pauls, W., Matsumoto, T.: Lagrangian singularities of steady two-dimensional flow. Geophys. Astrophys. Fluid. Dyn. 99, 61-75 (2005)
    • (2005) Geophys. Astrophys. Fluid. Dyn. , vol.99 , pp. 61-75
    • Pauls, W.1    Matsumoto, T.2
  • 17
    • 0347825238 scopus 로고    scopus 로고
    • Pole dynamics and oscillation for the complex Burgers equation in the small-dispersion limit
    • Senouf, D., Caflisch, R., Ercolani, N.: Pole dynamics and oscillation for the complex Burgers equation in the small-dispersion limit. Nonlinearity 9, 1671-1702 (1996)
    • (1996) Nonlinearity , vol.9 , pp. 1671-1702
    • Senouf, D.1    Caflisch, R.2    Ercolani, N.3
  • 20
    • 0027060010 scopus 로고
    • Representing topographic stress for large-scale ocean models
    • Holloway, G.: Representing topographic stress for large-scale ocean models. J. Phys. Oceanogr. 22, 1033-1046 (1992)
    • (1992) J. Phys. Oceanogr. , vol.22 , pp. 1033-1046
    • Holloway, G.1
  • 21
    • 33746636159 scopus 로고
    • Gevrey class regularity for the solutions of the Navier-Stokes equations
    • Foias, C., Temam, R.: Gevrey class regularity for the solutions of the Navier-Stokes equations. J. Funct. Anal. 87, 359-369 (1989)
    • (1989) J. Funct. Anal. , vol.87 , pp. 359-369
    • Foias, C.1    Temam, R.2
  • 22
    • 0002062139 scopus 로고    scopus 로고
    • Gevrey regularity for nonlinear analytic parabolic equations
    • Ferrari, A., Titi, E.S.: Gevrey regularity for nonlinear analytic parabolic equations. Commun. Part. Diff. Eq. 23, 1-16 (1998)
    • (1998) Commun. Part. Diff. Eq. , vol.23 , pp. 1-16
    • Ferrari, A.1    Titi, E.S.2
  • 23
    • 0003212031 scopus 로고
    • Lectures on Elliptic Boundary Value Problems
    • Princeton, NJ: Van Nostrand
    • Agmon, S.: Lectures on Elliptic Boundary Value Problems. Mathematical Studies, Princeton, NJ: Van Nostrand, 1965
    • (1965) Mathematical Studies
    • Agmon, S.1
  • 24
    • 0033245822 scopus 로고    scopus 로고
    • The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom
    • Cao, C., Rammaha, M., Titi, E.S.: The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom. Zeits. Ange. Math. Phys. (ZAMP) 50, 341-360 (1999)
    • (1999) Zeits. Ange. Math. Phys. (ZAMP) , vol.50 , pp. 341-360
    • Cao, C.1    Rammaha, M.2    Titi, E.S.3
  • 25
    • 0000287007 scopus 로고
    • Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation
    • Doelman, A., Titi, E.S.: Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation. Num. Funct. Anal. Optim. 14, 299-321 (1993)
    • (1993) Num. Funct. Anal. Optim. , vol.14 , pp. 299-321
    • Doelman, A.1    Titi, E.S.2
  • 26
    • 0001001075 scopus 로고
    • On the analyticity and the unique continuation theorem for solutions of the Navier-Stokes equation
    • Masuda, K.: On the analyticity and the unique continuation theorem for solutions of the Navier-Stokes equation. Proc. Japan Acad. 43, 827-832 (1967)
    • (1967) Proc. Japan Acad. , vol.43 , pp. 827-832
    • Masuda, K.1
  • 27
    • 0028976767 scopus 로고
    • Exponential decay rate of the power spectrum for solutions of theNavier-Stokes equations
    • Doering, C.R., Titi, E.S.: Exponential decay rate of the power spectrum for solutions of theNavier-Stokes equations. Phys. Fluids 7, 1384-1390 (1995)
    • (1995) Phys. Fluids , vol.7 , pp. 1384-1390
    • Doering, C.R.1    Titi, E.S.2
  • 29
    • 0022755962 scopus 로고
    • Viscoelastic behaviour of cellular solutions to the Kuramoto-Sivashinsky model
    • Frisch, U., She, Z.S., Thual, O.: Viscoelastic behaviour of cellular solutions to the Kuramoto-Sivashinsky model. J. Fluid Mech. 168, 221-240 (1986)
    • (1986) J. Fluid Mech. , vol.168 , pp. 221-240
    • Frisch, U.1    She, Z.S.2    Thual, O.3
  • 30
    • 0036501083 scopus 로고    scopus 로고
    • Exponential time differencing for stiff systems
    • Cox, C.M., Matthews, P.C.: Exponential time differencing for stiff systems. J. Comput. Phys. 76, 430-455 (2002)
    • (2002) J. Comput. Phys. , vol.76 , pp. 430-455
    • Cox, C.M.1    Matthews, P.C.2
  • 31
    • 67349281955 scopus 로고    scopus 로고
    • On asymptotic extrapolation
    • van der Hoeven, J.: On asymptotic extrapolation. J. Symb. Comput. 44, 1000-1016 (2009)
    • (2009) J. Symb. Comput. , vol.44 , pp. 1000-1016
    • van der Hoeven, J.1
  • 32
    • 0003237397 scopus 로고
    • Introduction aux Fonctions Analysables et Preuve Constructive de la Conjecture de Dulac
    • Paris: Hermann
    • Ecalle, J.: Introduction aux Fonctions Analysables et Preuve Constructive de la Conjecture de Dulac. Actualités mathématiques. Paris: Hermann, 1992
    • (1992) Actualités mathématiques
    • Ecalle, J.1
  • 33
    • 33750536643 scopus 로고    scopus 로고
    • Transseries and Real Differential Algebra
    • 1888, Berlin: Springer
    • van der Hoeven, J.: Transseries and Real Differential Algebra. Lecture Notes in Math. 1888, Berlin: Springer, 2006
    • (2006) Lecture Notes in Math
    • van der Hoeven, J.1
  • 34
    • 34249889059 scopus 로고    scopus 로고
    • A Borel transform method for locating singularities of Taylor and Fourier series
    • Pauls, W., Frisch, U.: A Borel transform method for locating singularities of Taylor and Fourier series. J. Stat. Phys. 127, 1095-1119 (2007)
    • (2007) J. Stat. Phys. , vol.127 , pp. 1095-1119
    • Pauls, W.1    Frisch, U.2
  • 35
    • 33644957616 scopus 로고    scopus 로고
    • Diagrammatic approach to the 3D Navier-Stokes system
    • Sinai, Ya.G.: Diagrammatic approach to the 3D Navier-Stokes system. Russ. Math. Surv. 60, 849-873 (2005)
    • (2005) Russ. Math. Surv. , vol.60 , pp. 849-873
    • Sinai, Y.G.1
  • 36
    • 43949163593 scopus 로고
    • Singularity formation for complex solutions of the 3D incompressible Euler equations
    • Caflisch, R.E.: Singularity formation for complex solutions of the 3D incompressible Euler equations. Physica D 67, 1-18 (1993)
    • (1993) Physica D , vol.67 , pp. 1-18
    • Caflisch, R.E.1
  • 37
    • 0004901160 scopus 로고
    • Intermittency in the very small scales of turbulence
    • Kraichnan, R.H.: Intermittency in the very small scales of turbulence. Phys. Fluids 10, 2080-2082 (1967)
    • (1967) Phys. Fluids , vol.10 , pp. 2080-2082
    • Kraichnan, R.H.1
  • 38
    • 0000751186 scopus 로고
    • Intermittency in nonlinear dynamics and singularities at complex times
    • Frisch, U., Morf, R.: Intermittency in nonlinear dynamics and singularities at complex times. Phys. Rev. A 10, 2673-2705 (1981)
    • (1981) Phys. Rev. A , vol.10 , pp. 2673-2705
    • Frisch, U.1    Morf, R.2


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