메뉴 건너뛰기




Volumn 55, Issue 5, 2002, Pages 654-678

On the Well-Posedness of the Euler Equations in the Triebel-Lizorkin Spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036115549     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.10029     Document Type: Article
Times cited : (92)

References (23)
  • 1
    • 21844481531 scopus 로고
    • Équations de transport relatives á des champs de vecteurs non-lipschitziens et mécanique des fluides
    • Bahouri, H.; Chemin, J.-Y. Équations de transport relatives á des champs de vecteurs non-lipschitziens et mécanique des fluides. Arch. Rational Mech. Anal. 127 (1994), no. 2, 159-181.
    • (1994) Arch. Rational Mech. Anal. , vol.127 , Issue.2 , pp. 159-181
    • Bahouri, H.1    Chemin, J.-Y.2
  • 2
    • 0009139912 scopus 로고
    • Remarques sur l'apparition de singularités dans les écoulements eulériens incompressibles à donnée initiale höldérienne
    • Bahouri, H.; Dehman, B. Remarques sur l'apparition de singularités dans les écoulements eulériens incompressibles à donnée initiale höldérienne. J. Math. Pures Appl. (9) 73 (1994), no. 4, 335-346.
    • (1994) J. Math. Pures Appl. (9) , vol.73 , Issue.4 , pp. 335-346
    • Bahouri, H.1    Dehman, B.2
  • 3
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3-D Euler equations
    • Beale, J. T.; Kato, T.; Majda, A. Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Comm. Math. Phys. 94 (1984), no. 1, 61-66.
    • (1984) Comm. Math. Phys. , vol.94 , Issue.1 , pp. 61-66
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 4
    • 0001191104 scopus 로고
    • Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
    • Bony, J.-M. Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires. Ann. Sci. École Norm. Sup. (4) 14 (1981), no. 2, 209-246.
    • (1981) Ann. Sci. École Norm. Sup. (4) , vol.14 , Issue.2 , pp. 209-246
    • Bony, J.-M.1
  • 5
    • 49149142420 scopus 로고
    • Nonlinear Schrödinger evolution equations
    • Brézis, H.; Gallouet, T. Nonlinear Schrödinger evolution equations. Nonlinear Anal. 4 (1980), no. 4, 677-681.
    • (1980) Nonlinear Anal. , vol.4 , Issue.4 , pp. 677-681
    • Brézis, H.1    Gallouet, T.2
  • 6
    • 0040528825 scopus 로고
    • Régularité de la trajectoire des particules d'un fluide parfait incompressible remplissant l'espace
    • Chemin, J.-Y. Régularité de la trajectoire des particules d'un fluide parfait incompressible remplissant l'espace. Math. Pures Appl. (9) 71 (1992), no. 5, 407-417.
    • (1992) Math. Pures Appl. (9) , vol.71 , Issue.5 , pp. 407-417
    • Chemin, J.-Y.1
  • 7
    • 0004277187 scopus 로고    scopus 로고
    • Oxford Lecture Series in Mathematics and Its Applications, Clarendon, Oxford University, New York
    • Chemin, J.-Y. Perfect incompressible fluids. Oxford Lecture Series in Mathematics and Its Applications, 14. Clarendon, Oxford University, New York, 1998.
    • (1998) Perfect Incompressible Fluids , vol.14
    • Chemin, J.-Y.1
  • 8
    • 0000361611 scopus 로고
    • Some maximal inequalities
    • Fefferman, C.; Stein, E. M. Some maximal inequalities. Amer. J. Math. 93 (1971), 107-115.
    • (1971) Amer. J. Math. , vol.93 , pp. 107-115
    • Fefferman, C.1    Stein, E.M.2
  • 14
    • 84990617895 scopus 로고
    • Commutator estimates and the Euler and Navier-Stokes equations
    • Kato, T.; Ponce, G. Commutator estimates and the Euler and Navier-Stokes equations. Comm. Pure Appl. Math. 41 (1988), no. 7, 891-907.
    • (1988) Comm. Pure Appl. Math. , vol.41 , Issue.7 , pp. 891-907
    • Kato, T.1    Ponce, G.2
  • 15
    • 0034348203 scopus 로고    scopus 로고
    • Limiting case of the Sobolev inequality in BMO, with application to the Euler equations
    • Kozono, H.; Taniuchi, Y. Limiting case of the Sobolev inequality in BMO, with application to the Euler equations. Comm. Math. Phys. 214 (2000), no. 1, 191-200.
    • (2000) Comm. Math. Phys. , vol.214 , Issue.1 , pp. 191-200
    • Kozono, H.1    Taniuchi, Y.2
  • 16
    • 84990619174 scopus 로고
    • Vorticity and the mathematical theory of incompressible fluid flow. Frontiers of the mathematical sciences: 1985 (New York, 1985)
    • Majda, A. Vorticity and the mathematical theory of incompressible fluid flow. Frontiers of the mathematical sciences: 1985 (New York, 1985). Comm. Pure Appl. Math. 39 (1986), no. S, suppl., S187-S220.
    • (1986) Comm. Pure Appl. Math. , vol.39 , Issue.S AND SUPPL.
    • Majda, A.1
  • 17
    • 0141973481 scopus 로고
    • Princeton University Graduate Course Lecture Notes, Princeton, N.J.
    • Majda, A. Mathematical theory of fluid mechanics. Princeton University Graduate Course Lecture Notes, Princeton, N.J., 1986.
    • (1986) Mathematical Theory of Fluid Mechanics
    • Majda, A.1
  • 19
    • 0141973482 scopus 로고
    • Monographs in Mathematics, Birkhäuser, Basel
    • Triebel, H. Theory of function spaces. Monographs in Mathematics, 78. Birkhäuser, Basel, 1983.
    • (1983) Theory of Function Spaces , vol.78
    • Triebel, H.1
  • 20
    • 0142008141 scopus 로고
    • Monographs in Mathematics, Birkhäuser, Basel
    • Triebel, H. Theory of function spaces. II. Monographs in Mathematics, 84. Birkhäuser, Basel, 1992.
    • (1992) Theory of Function Spaces. II , vol.84
    • Triebel, H.1
  • 21
    • 0032263330 scopus 로고    scopus 로고
    • Hydrodynamics in Besov spaces
    • Vishik, M. Hydrodynamics in Besov spaces. Arch. Ration. Mech. Anal. 145 (1998), no. 3, 197-214.
    • (1998) Arch. Ration. Mech. Anal. , vol.145 , Issue.3 , pp. 197-214
    • Vishik, M.1
  • 22
    • 0033472885 scopus 로고    scopus 로고
    • Incompressible flows of an ideal fluid with vorticity in borderline spaces of Besov type
    • Vishik, M. Incompressible flows of an ideal fluid with vorticity in borderline spaces of Besov type. Ann. Sci. École Norm. Sup. (4) 32 (1999), no. 6, 769-812.
    • (1999) Ann. Sci. École Norm. Sup. (4) , vol.32 , Issue.6 , pp. 769-812
    • Vishik, M.1
  • 23
    • 0001751564 scopus 로고
    • Nonstationary flow of an ideal incompressible liquid
    • Yudovich, V. I. Nonstationary flow of an ideal incompressible liquid. Zh. Vychisl. Mat. i Mat. Fiz. 3, (1963), 1032-1066.
    • (1963) Zh. Vychisl. Mat. i Mat. Fiz. , vol.3 , pp. 1032-1066
    • Yudovich, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.