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Volumn 370, Issue 4, 2018, Pages 2517-2535

Homogeneous solutions to the 3D euler system

Author keywords

Euler equation; Homogeneous solution; Landau solution; Onsager conjecture

Indexed keywords


EID: 85040827133     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/tran/7022     Document Type: Article
Times cited : (23)

References (15)
  • 1
    • 0003943704 scopus 로고
    • Oxford Applied Mathematics and Computing Science Series, The Clarendon Press, Oxford University Press, New York
    • D. J. Acheson, Elementary fluid dynamics, Oxford Applied Mathematics and Computing Science Series, The Clarendon Press, Oxford University Press, New York, 1990. MR1069557
    • (1990) Elementary Fluid Dynamics
    • Acheson, D.J.1
  • 2
    • 0003670270 scopus 로고    scopus 로고
    • Second paperback edition, Cambridge Mathematical Library, Cambridge University Press, Cambridge, MR1744638
    • G. K. Batchelor, An introduction to fluid dynamics, Second paperback edition, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1999. MR1744638
    • (1999) An Introduction to Fluid Dynamics
    • Batchelor, G.K.1
  • 3
    • 84955300702 scopus 로고    scopus 로고
    • On the energy behavior of locally self-similar blowup for the Euler equation
    • MR3418442
    • Anne Bronzi and Roman Shvydkoy, On the energy behavior of locally self-similar blowup for the Euler equation, Indiana Univ. Math. J. 64 (2015), no. 5, 1291–1302, DOI 10.1512/iumj.2015.64.5657. MR3418442
    • (2015) Indiana Univ. Math. J. , vol.64 , Issue.5 , pp. 1291-1302
    • Bronzi, A.1    Shvydkoy, R.2
  • 4
    • 84879271231 scopus 로고    scopus 로고
    • On formation of a locally self-similar collapse in the incompressible Euler equations
    • MR3067830
    • Dongho Chae and Roman Shvydkoy, On formation of a locally self-similar collapse in the incompressible Euler equations, Arch. Ration. Mech. Anal. 209 (2013), no. 3, 999–1017, DOI 10.1007/s00205-013-0630-z. MR3067830
    • (2013) Arch. Ration. Mech. Anal. , vol.209 , Issue.3 , pp. 999-1017
    • Chae, D.1    Shvydkoy, R.2
  • 5
    • 84897844602 scopus 로고    scopus 로고
    • Euler equations and turbulence: Analytical approach to intermittency
    • MR3152734
    • A. Cheskidov and R. Shvydkoy, Euler equations and turbulence: analytical approach to intermittency, SIAM J. Math. Anal. 46 (2014), no. 1, 353–374, DOI 10.1137/120876447. MR3152734
    • (2014) SIAM J. Math. Anal. , vol.46 , Issue.1 , pp. 353-374
    • Cheskidov, A.1    Shvydkoy, R.2
  • 6
    • 84881551330 scopus 로고    scopus 로고
    • Dissipative continuous Euler flows
    • MR3090182
    • Camillo De Lellis and László Székelyhidi Jr., Dissipative continuous Euler flows, Invent. Math. 193 (2013), no. 2, 377–407, DOI 10.1007/s00222-012-0429-9. MR3090182
    • (2013) Invent. Math. , vol.193 , Issue.2 , pp. 377-407
    • De Lellis, C.1    Székelyhidi, L.2
  • 7
    • 85016622991 scopus 로고    scopus 로고
    • Holder continuous Euler flows with compact support in time
    • Thesis (Ph.D.)–Princeton University. MR3153420
    • Philip Isett, Holder continuous Euler flows with compact support in time, ProQuest LLC, Ann Arbor, MI, 2013. Thesis (Ph.D.)–Princeton University. MR3153420
    • (2013) Proquest LLC, Ann Arbor, MI
    • Isett, P.1
  • 8
    • 84929082463 scopus 로고    scopus 로고
    • The Liouville theorem for the steady-state Navier-Stokes problem for axially symmetric 3D solutions in absence of swirl
    • MR3345358
    • Mikhail Korobkov, Konstantin Pileckas, and Remigio Russo, The Liouville theorem for the steady-state Navier-Stokes problem for axially symmetric 3D solutions in absence of swirl, J. Math. Fluid Mech. 17 (2015), no. 2, 287–293, DOI 10.1007/s00021-015-0202-0. MR3345358
    • (2015) J. Math. Fluid Mech. , vol.17 , Issue.2 , pp. 287-293
    • Konstantin Pileckas, M.K.1    Russo, R.2
  • 10
    • 84932650008 scopus 로고    scopus 로고
    • 2D homogeneous solutions to the Euler equation
    • MR3359160
    • Xue Luo and Roman Shvydkoy, 2D homogeneous solutions to the Euler equation, Comm. Partial Differential Equations 40 (2015), no. 9, 1666–1687, DOI 10.1080/03605302.2015.1045073. MR3359160
    • (2015) Comm. Partial Differential Equations , vol.40 , Issue.9 , pp. 1666-1687
    • Luo, X.1    Shvydkoy, R.2
  • 12
    • 51249192666 scopus 로고
    • Statistical hydrodynamics
    • Supplemento, 2 (Con-vegno Internazionale di Meccanica Statistica), MR0036116
    • L. Onsager, Statistical hydrodynamics, Nuovo Cimento (9), 6 (1949), Supplemento, 2 (Con-vegno Internazionale di Meccanica Statistica), 279–287. MR0036116
    • (1949) Nuovo Cimento , vol.9 , Issue.6 , pp. 279-287
    • Onsager, L.1
  • 13
    • 33744719357 scopus 로고    scopus 로고
    • The Laplacian on a Riemannian manifold: An introduction to analysis on manifolds
    • Cambridge University Press, Cambridge, MR1462892
    • Steven Rosenberg, The Laplacian on a Riemannian manifold: An introduction to analysis on manifolds, London Mathematical Society Student Texts, vol. 31, Cambridge University Press, Cambridge, 1997. MR1462892
    • (1997) London Mathematical Society Student Texts , vol.31
    • Rosenberg, S.1
  • 14
    • 79959881475 scopus 로고    scopus 로고
    • Lectures on the Onsager conjecture
    • MR2660721
    • Roman Shvydkoy, Lectures on the Onsager conjecture, Discrete Contin. Dyn. Syst. Ser. S 3 (2010), no. 3, 473–496, DOI 10.3934/dcdss.2010.3.473. MR2660721
    • (2010) Discrete Contin. Dyn. Syst. Ser. S , vol.3 , Issue.3 , pp. 473-496
    • Shvydkoy, R.1
  • 15
    • 80255126035 scopus 로고    scopus 로고
    • On Landau’s solutions of the Navier-Stokes equations
    • Problems in mathematical analysis. No. 61. MR3014106
    • V. Šverák, On Landau’s solutions of the Navier-Stokes equations, J. Math. Sci. (N.Y.) 179 (2011), no. 1, 208–228, DOI 10.1007/s10958-011-0590-5. Problems in mathematical analysis. No. 61. MR3014106
    • (2011) J. Math. Sci. (N.Y.) , vol.179 , Issue.1 , pp. 208-228
    • Šverák, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.