메뉴 건너뛰기




Volumn 29, Issue 1, 2011, Pages 285-303

The domain of analyticity of solutions to the three-dimensional euler equations in a half space

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79951821788     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2011.29.285     Document Type: Article
Times cited : (43)

References (40)
  • 1
    • 0010805767 scopus 로고
    • Propagation de l'analyticité locale pour les solutions de l'équation d'Euler
    • S. Alinhac and G. Métivier, Propagation de l'analyticité locale pour les solutions de l'équation d'Euler, Arch. Rational Mech. Anal., 92 (1986), 287-296.
    • (1986) Arch. Rational Mech. Anal. , vol.92 , pp. 287-296
    • Alinhac, S.1    Métivier, G.2
  • 2
    • 0000313853 scopus 로고
    • Analyticité de la solution de l'équation d'Euler dans un ouvert de Rn
    • C. Bardos, Analyticité de la solution de l'équation d'Euler dans un ouvert de Rn, C. R. Acad. Sci. Paris Sér. A-B, 283 (1976), A255-A258.
    • (1976) C. R. Acad. Sci. Paris Sér. A-B , vol.283
    • Bardos, C.1
  • 3
    • 0000057397 scopus 로고
    • Domaine d'analycité des solutions de l'équation d'Euler dans un ouvert de Rn
    • (4)
    • C. Bardos and S. Benachour, Domaine d'analycité des solutions de l'équation d'Euler dans un ouvert de Rn, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 4 (1977), 647-687.
    • (1977) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.4 , pp. 647-687
    • Bardos, C.1    Benachour, S.2
  • 4
    • 0010805768 scopus 로고
    • Analycité des solutions périodiques de l'équation d'Euler en deux dimensions
    • C. Bardos, S. Benachour and M. Zerner, Analycité des solutions périodiques de l'équation d'Euler en deux dimensions, C. R. Acad. Sci. Paris Sér. A-B, 282 (1976), A995-A998.
    • (1976) C. R. Acad. Sci. Paris Sér. A-B , vol.282
    • Bardos, C.1    Benachour, S.2    Zerner, M.3
  • 5
    • 79951824256 scopus 로고    scopus 로고
    • Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations
    • to appear, Preprint, available at arXiv:0906.2029v2
    • C. Bardos and E. S. Titi, Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations, Discrete Contin. Dyn. Syst, to appear, Preprint available at arXiv:0906.2029v2.
    • Discrete Contin. Dyn. Syst
    • Bardos, C.1    Titi, E.S.2
  • 6
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3-D Euler equations
    • J. T. Beale, T. Kato and A. Majda, Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Comm. Math. Phys., 94 (1984), 61-66.
    • (1984) Comm. Math. Phys. , vol.94 , pp. 61-66
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 7
    • 0010814938 scopus 로고
    • Analyticité des solutions périodiques de l'équation d'Euler en trois dimensions
    • S. Benachour, Analyticité des solutions périodiques de l'équation d'Euler en trois dimensions, C. R. Acad. Sci. Paris Sér. A-B,283 (1976), A107-A110.
    • (1976) C. R. Acad. Sci. Paris Sér. A-B , vol.283
    • Benachour, S.1
  • 10
    • 33746619320 scopus 로고    scopus 로고
    • Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip
    • DOI 10.1016/j.jde.2006.04.013, PII S0022039606001410
    • J. L. Bona, Z. Grujić and H. Kalisch, Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip, J. Differential Equations, 229 (2006), 186-203. (Pubitemid 44145274)
    • (2006) Journal of Differential Equations , vol.229 , Issue.1 , pp. 186-203
    • Bona, J.L.1    Grujic, Z.2    Kalisch, H.3
  • 11
    • 77950216866 scopus 로고    scopus 로고
    • A KdV-type Boussinesq system: From the energy level to analytic spaces
    • J. L. Bona, Z. Grujić and H. Kalisch, A KdV-type Boussinesq system: From the energy level to analytic spaces, Discrete Contin. Dyn. Syst., 26 (2010), 1121-1139.
    • (2010) Discrete Contin. Dyn. Syst. , vol.26 , pp. 1121-1139
    • Bona, J.L.1    Grujić, Z.2    Kalisch, H.3
  • 14
    • 26444613884 scopus 로고    scopus 로고
    • Dissipativity and Gevrey regularity of a Smoluchowski equation
    • DOI 10.1512/iumj.2005.54.2653
    • P. Constantin, E. S. Titi and J. Vukadinović, Dissipativity and Gevrey regularity of a Smoluchowski equation, Indiana Univ. Math. J., 54 (2005), 949-969. (Pubitemid 41421372)
    • (2005) Indiana University Mathematics Journal , vol.54 , Issue.4 , pp. 949-969
    • Constantin, P.1    Titi, E.S.2    Vukadinovic, J.3
  • 15
    • 63049089051 scopus 로고    scopus 로고
    • Infinite superlinear growth of the gradient for the two-dimensional Euler equation
    • S. A. Denisov, Infinite superlinear growth of the gradient for the two-dimensional Euler equation , Discrete Contin. Dyn. Syst., 23 (2009), 755-764.
    • (2009) Discrete Contin. Dyn. Syst. , vol.23 , pp. 755-764
    • Denisov, S.A.1
  • 16
    • 0000863080 scopus 로고
    • Oscillations and concentrations in weak solutions of the incompressible fluid equations
    • R. DiPerna and A. Majda, Oscillations and concentrations in weak solutions of the incompressible fluid equations, Comm. Math. Phys., 108 (1987), 667-689.
    • (1987) Comm. Math. Phys. , vol.108 , pp. 667-689
    • DiPerna, R.1    Majda, A.2
  • 17
    • 84968468543 scopus 로고
    • Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid
    • D. G. Ebin and J. E. Marsden, Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid, Bull. Amer. Math. Soc., 75 (1969), 962-967.
    • (1969) Bull. Amer. Math. Soc. , vol.75 , pp. 962-967
    • Ebin, D.G.1    Marsden, J.E.2
  • 20
    • 33746636159 scopus 로고
    • Gevrey class regularity for the solutions of the Navier-Stokes equations
    • C. Foias and R. Temam, Gevrey class regularity for the solutions of the Navier-Stokes equations , J. Funct. Anal., 87 (1989), 359-369.
    • (1989) J. Funct. Anal. , vol.87 , pp. 359-369
    • Foias, C.1    Temam, R.2
  • 22
    • 0000469013 scopus 로고    scopus 로고
    • p
    • DOI 10.1006/jfan.1997.3167, PII S0022123697931670
    • Z. Grujić and I. Kukavica, Space analyticity for the Navier-Stokes and related equations with initial data in Lp, J. Funct. Anal., 152 (1998), 447-466. (Pubitemid 128347180)
    • (1998) Journal of Functional Analysis , vol.152 , Issue.2 , pp. 447-466
    • Grujic, Z.1    Kukavica, I.2
  • 23
    • 0033126076 scopus 로고    scopus 로고
    • Space analyticity for the nonlinear heat equation in a bounded domain
    • Z. Grujić and I. Kukavica, Space analyticity for the nonlinear heat equation in a bounded domain, J. Differential Equations, 154 (1999), 42-54.
    • (1999) J. Differential Equations , vol.154 , pp. 42-54
    • Grujić, Z.1    Kukavica, I.2
  • 24
    • 0025523018 scopus 로고
    • Smallest scale estimates for the Navier-Stokes equations for incompressible fluids
    • W. D. Henshaw, H.-O. Kreiss and L. G. Reyna, Smallest scale estimates for the Navier-Stokes equations for incompressible fluids, Arch. Rational Mech. Anal., 112 (1990), 21-44. (Pubitemid 23621625)
    • (1990) Archive for Rational Mechanics and Analysis , vol.112 , Issue.1 , pp. 21-44
    • Henshaw, W.D.1    Kreiss, H.O.2    Reyna, L.G.3
  • 26
    • 0001663575 scopus 로고
    • Hausdorff length of level sets for solutions of the Ginzburg-Landau equation
    • I. Kukavica, Hausdorff length of level sets for solutions of the Ginzburg-Landau equation, Nonlinearity, 8 (1995), 113-129.
    • (1995) Nonlinearity , vol.8 , pp. 113-129
    • Kukavica, I.1
  • 27
    • 0003003497 scopus 로고    scopus 로고
    • On the dissipative scale for the Navier-Stokes equation
    • I. Kukavica, On the dissipative scale for the Navier-Stokes equation, Indiana Univ. Math. J., 48 (1999), 1057-1081.
    • (1999) Indiana Univ. Math. J. , vol.48 , pp. 1057-1081
    • Kukavica, I.1
  • 28
    • 70350612106 scopus 로고    scopus 로고
    • On the radius of analyticity of solutions to the three-dimensional Euler equations
    • I. Kukavica and V. Vicol, On the radius of analyticity of solutions to the three-dimensional Euler equations, Proc. Amer. Math. Soc., 137 (2009), 669-677.
    • (2009) Proc. Amer. Math. Soc. , vol.137 , pp. 669-677
    • Kukavica, I.1    Vicol, V.2
  • 29
    • 0346820674 scopus 로고
    • Analyticité locale pour les solutions de l'équation d'Euler
    • D. Le Bail, Analyticité locale pour les solutions de l'équation d'Euler, Arch. Rational Mech. Anal., 95 (1986), 117-136.
    • (1986) Arch. Rational Mech. Anal. , vol.95 , pp. 117-136
    • Le Bail, D.1
  • 32
    • 0031579130 scopus 로고    scopus 로고
    • Analyticity of solutions for a generalized Euler equation
    • C. D. Levermore and M. Oliver, Analyticity of solutions for a generalized Euler equation, J. Differential Equations, 133 (1997), 321-339. (Pubitemid 127165283)
    • (1997) Journal of Differential Equations , vol.133 , Issue.2 , pp. 321-339
    • Levermore, C.D.1    Oliver, M.2
  • 34
    • 0004259252 scopus 로고    scopus 로고
    • Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge
    • A. J. Majda and A. L. Bertozzi, "Vorticity and Incompressible Flow," Vol. 27 Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge, 2002.
    • (2002) Vorticity and Incompressible Flow , vol.27
    • Majda, A.J.1    Bertozzi, A.L.2
  • 35
    • 0035920061 scopus 로고    scopus 로고
    • On the domain of analyticity for solutions of second order analytic nonlinear differential equations
    • DOI 10.1006/jdeq.2000.3927, PII S0022039600939275
    • M. Oliver and E. S. Titi, On the domain of analyticity of solutions of second order analytic nonlinear differential equations, J. Differential Equations, 174 (2001), 55-74. (Pubitemid 33378038)
    • (2001) Journal of Differential Equations , vol.174 , Issue.1 , pp. 55-74
    • Oliver, M.1    Titi, E.S.2
  • 37
    • 0032371860 scopus 로고    scopus 로고
    • Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I. Existence for Euler and Prandtl equations
    • M. Sammartino and R. E. Caflisch, Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. I. Existence for Euler and Prandtl equations, Com- mun. Math. Phys., 192 (1998), 433-461. (Pubitemid 128357143)
    • (1998) Communications in Mathematical Physics , vol.192 , Issue.2 , pp. 433-461
    • Sammartino, M.1    Caflisch, R.E.2
  • 38
    • 0039495612 scopus 로고
    • On the Euler equations of incompressible perfect fluids
    • R. Temam, On the Euler equations of incompressible perfect fluids, J. Functional Analysis, 20 (1975), 32-43.
    • (1975) J. Functional Analysis , vol.20 , pp. 32-43
    • Temam, R.1
  • 39
    • 0001751564 scopus 로고
    • Non stationary flow of an ideal incompressible liquid
    • V. I. Yudovich, Non stationary flow of an ideal incompressible liquid, Zh. Vych. Mat., 3 (1963), 1032-1066.
    • (1963) Zh. Vych. Mat. , vol.3 , pp. 1032-1066
    • Yudovich, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.