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Volumn 332, Issue 2, 2005, Pages 287-327

Uniqueness for the two-dimensional Navier-Stokes equation with a measure as initial vorticity

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EID: 18244363856     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-004-0627-x     Document Type: Article
Times cited : (73)

References (28)
  • 1
    • 21844500356 scopus 로고
    • Global solutions of two-dimensional Navier-Stokes and Euler equations
    • Ben-Artzi, M.: Global solutions of two-dimensional Navier-Stokes and Euler equations. Arch. Rational Mech. Anal. 128, 329-358 (1994)
    • (1994) Arch. Rational Mech. Anal. , vol.128 , pp. 329-358
    • Ben-Artzi, M.1
  • 2
    • 21844518574 scopus 로고
    • Remarks on the preceding paper by M. Ben-Artzi: "Global solutions of two-dimensional Navier-Stokes and Euler equations"
    • Brezis, H.: Remarks on the preceding paper by M. Ben-Artzi: "Global solutions of two-dimensional Navier-Stokes and Euler equations". Arch. Rational Mech. Anal. 128, 359-360 (1994)
    • (1994) Arch. Rational Mech. Anal. , vol.128 , pp. 359-360
    • Brezis, H.1
  • 5
    • 84974004482 scopus 로고
    • Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation
    • Carlen, E.A., Loss, M.: Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation. Duke Math. J. 81, 135-157 (1995), (1996)
    • (1995) Duke Math. J. , vol.81 , pp. 135-157
    • Carlen, E.A.1    Loss, M.2
  • 6
    • 0000163841 scopus 로고
    • Asymptotic behavior for the vorticity equations in dimensions two and three
    • Carpio, A.: Asymptotic behavior for the vorticity equations in dimensions two and three. Commun. Partial Differential Equations 19, 827-872 (1994)
    • (1994) Commun. Partial Differential Equations , vol.19 , pp. 827-872
    • Carpio, A.1
  • 7
    • 33745457614 scopus 로고
    • A mathematical introduction to fluid mechanics. Second edition
    • Springer-Verlag, New York
    • Chorin, A., Marsden, J.: A mathematical introduction to fluid mechanics. Second edition. Texts in Applied Mathematics, 4. Springer-Verlag, New York, 1990
    • (1990) Texts in Applied Mathematics , vol.4
    • Chorin, A.1    Marsden, J.2
  • 8
    • 0013262052 scopus 로고
    • Equations de Navier-Stokes dans le plan avec tourbillon initial mesure
    • Cottet, G.-H.: Equations de Navier-Stokes dans le plan avec tourbillon initial mesure. C. R. Acad. Sci. Paris Sér. I Math. 303, 105-108 (1986)
    • (1986) C. R. Acad. Sci. Paris Sér. I Math. , vol.303 , pp. 105-108
    • Cottet, G.-H.1
  • 10
    • 0036003935 scopus 로고    scopus 로고
    • On global infinite energy solutions to the Navier-Stokes equations in two dimensions
    • Gallagher, I., Planchon, F.: On global infinite energy solutions to the Navier-Stokes equations in two dimensions. Arch. Rational Mech. Anal. 161, 307-337 (2002)
    • (2002) Arch. Rational Mech. Anal. , vol.161 , pp. 307-337
    • Gallagher, I.1    Planchon, F.2
  • 12
    • 21244476087 scopus 로고    scopus 로고
    • Global stability of vortex solutions of the two-dimensional Navier-Stokes equation
    • To appear. Preprint version available
    • Gallay, Th., Wayne, C.E.: Global stability of vortex solutions of the two-dimensional Navier-Stokes equation. Commun. Math. Phys. To appear. Preprint version available at http://www.arXiv.org/math.AP/0402449
    • Commun. Math. Phys.
    • Gallay, Th.1    Wayne, C.E.2
  • 15
    • 0001300372 scopus 로고
    • Two-dimensional Navier-Stokes flow with measures as initial vorticity
    • Giga, Y., Miyakawa, T., Osada, H.: Two-dimensional Navier-Stokes flow with measures as initial vorticity. Arch. Rational Mech. Anal. 104, 223-250 (1988)
    • (1988) Arch. Rational Mech. Anal. , vol.104 , pp. 223-250
    • Giga, Y.1    Miyakawa, T.2    Osada, H.3
  • 18
    • 0000911759 scopus 로고
    • m, with applications to weak solutions
    • m, with applications to weak solutions. Math. Z. 187, 471-480 (1984)
    • (1984) Math. Z. , vol.187 , pp. 471-480
    • Kato, T.1
  • 19
    • 84972545764 scopus 로고
    • 2 with a measure as the initial vorticity
    • 2 with a measure as the initial vorticity. Differential Integral Equations 7, 949-966 (1994)
    • (1994) Differential Integral Equations , vol.7 , pp. 949-966
    • Kato, T.1
  • 20
    • 0035863969 scopus 로고    scopus 로고
    • Well-posedness for the Navier-Stokes equations
    • Koch, H., Tataru, D.: Well-posedness for the Navier-Stokes equations. Advances in Mathematics 157, 22-35 (2001)
    • (2001) Advances in Mathematics , vol.157 , pp. 22-35
    • Koch, H.1    Tataru, D.2
  • 21
    • 0003804415 scopus 로고
    • The mathematical theory of viscous incompressible flow. Second English edition
    • Gordon and Breach, New York-London-Paris
    • Ladyzhenskaya, O.: The mathematical theory of viscous incompressible flow. Second English edition. Mathematics and its Applications, Vol. 2. Gordon and Breach, New York-London-Paris, 1969
    • (1969) Mathematics and Its Applications , vol.2
    • Ladyzhenskaya, O.1
  • 22
    • 0003068173 scopus 로고
    • Etude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
    • Leray, J.: Etude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique. J. Math. Pures. Appl. 12, 1-82 (1933)
    • (1933) J. Math. Pures. Appl. , vol.12 , pp. 1-82
    • Leray, J.1
  • 23
    • 0040431383 scopus 로고    scopus 로고
    • Monte-Carlo approximations for 2d Navier-Stokes equations with measure initial data
    • Méléard, S.: Monte-Carlo approximations for 2d Navier-Stokes equations with measure initial data. Prob. Theory Relat. Fields 121, 367-388 (2001)
    • (2001) Prob. Theory Relat. Fields , vol.121 , pp. 367-388
    • Méléard, S.1
  • 24
    • 0010602596 scopus 로고    scopus 로고
    • Wavelets, paraproducts and navier-stokes
    • International Press, Cambridge, Massachussets
    • Meyer, Y.: Wavelets, Paraproducts and Navier-Stokes. Current Developments in Mathematics, International Press, Cambridge, Massachussets, 1996
    • (1996) Current Developments in Mathematics
    • Meyer, Y.1
  • 25
    • 0040102518 scopus 로고
    • Diffusion processes with generators of generalized divergence form
    • Osada, H.: Diffusion processes with generators of generalized divergence form. J. Math. Kyoto Univ. 27, 597-619 (1987)
    • (1987) J. Math. Kyoto Univ. , vol.27 , pp. 597-619
    • Osada, H.1
  • 26


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.