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Volumn 268, Issue , 2015, Pages 396-403

Exponential growth of the vorticity gradient for the Euler equation on the torus

Author keywords

Euler equations on the torus; Vorticity gradient growth

Indexed keywords


EID: 84908192375     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2014.08.012     Document Type: Article
Times cited : (105)

References (10)
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    • in press
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    • (2014) Proc. Amer. Math. Soc.
    • Denisov, S.1
  • 3
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    • The sharp corner formation in 2D Euler dynamics of patches: infinite double exponential rate of merging
    • in press
    • Denisov S. The sharp corner formation in 2D Euler dynamics of patches: infinite double exponential rate of merging. Arch. Ration. Mech. Anal. 2014, in press.
    • (2014) Arch. Ration. Mech. Anal.
    • Denisov, S.1
  • 4
    • 0000333210 scopus 로고
    • Über die unbeschränkte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbegrentzten inkompressiblen Flüssigkeit
    • (in German)
    • Hölder E. Über die unbeschränkte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbegrentzten inkompressiblen Flüssigkeit. Math. Z. 1933, 37:727-738. (in German).
    • (1933) Math. Z. , vol.37 , pp. 727-738
    • Hölder, E.1
  • 5
    • 0002716749 scopus 로고
    • The loss of smoothness of the solutions of Euler equations with time
    • (in Russian)
    • Judovič V.I. The loss of smoothness of the solutions of Euler equations with time. Dinamika Splošn. Sredy 1974, 16:71-78. (in Russian).
    • (1974) Dinamika Splošn. Sredy , vol.16 , pp. 71-78
    • Judovič, V.I.1
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    • Small scale creation for solutions of the incompressible two dimensional Euler equation, preprint.
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    • Kiselev, A.1    Šverák, V.2
  • 7
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    • Blow up for the 2D Euler equation on some bounded domains, preprint.
    • A. Kiselev, A. Zlatoš, Blow up for the 2D Euler equation on some bounded domains, preprint.
    • Kiselev, A.1    Zlatoš, A.2
  • 8
    • 0040355045 scopus 로고
    • Wandering solutions of the two-dimensional Euler equation
    • (in Russian); translation in:
    • Nadirashvili N.S. Wandering solutions of the two-dimensional Euler equation. Funktsional. Anal. i Prilozhen. Funct. Anal. Appl. 1991, 25:220-221. (in Russian); translation in:.
    • (1991) Funktsional. Anal. i Prilozhen. Funct. Anal. Appl. , vol.25 , pp. 220-221
    • Nadirashvili, N.S.1
  • 9
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    • Un theorème sur l'existence du mouvement plan d'un fluide parfait, homogène, incompressible, pendant un temps infiniment long
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    • Wolibner W. Un theorème sur l'existence du mouvement plan d'un fluide parfait, homogène, incompressible, pendant un temps infiniment long. Math. Z. 1933, 37:698-726. (in French).
    • (1933) Math. Z. , vol.37 , pp. 698-726
    • Wolibner, W.1
  • 10
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    • On the loss of smoothness of the solutions of the Euler equations and the inherent instability of flows of an ideal fluid
    • Yudovich V.I. On the loss of smoothness of the solutions of the Euler equations and the inherent instability of flows of an ideal fluid. Chaos 2000, 10:705-719.
    • (2000) Chaos , vol.10 , pp. 705-719
    • Yudovich, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.