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Volumn 214, Issue 1, 2007, Pages 1-39

An inequality for Riesz transforms implying blow-up for some nonlinear and nonlocal transport equations

Author keywords

Active scalars; Mellin multipliers; Riesz transforms; Spherical harmonics; Transport equations

Indexed keywords


EID: 34250220666     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2006.07.021     Document Type: Article
Times cited : (27)

References (7)
  • 1
    • 33745899606 scopus 로고    scopus 로고
    • Formation of singularities for a transport equation with nonlocal velocity
    • Córdoba A., Córdoba D., and Fontelos M.A. Formation of singularities for a transport equation with nonlocal velocity. Ann. of Math. 162 (2005) 1377-1389
    • (2005) Ann. of Math. , vol.162 , pp. 1377-1389
    • Córdoba, A.1    Córdoba, D.2    Fontelos, M.A.3
  • 2
    • 34250180702 scopus 로고    scopus 로고
    • A. Córdoba, D. Córdoba, M.A. Fontelos, Integral inequalities for the Hilbert transform applied to a nonlocal transport equation, J. Math. Pures Appl., in press
  • 3
    • 84990617895 scopus 로고
    • Commutators estimates and the Euler and Navier-Stokes equations
    • Kato T., and Ponce G. Commutators estimates and the Euler and Navier-Stokes equations. Comm. Pure Appl. Math. 41 (1988) 891-907
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 891-907
    • Kato, T.1    Ponce, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.