메뉴 건너뛰기
Journal of Mathematical Analysis and Applications
Volumn 329, Issue 2, 2007, Pages 1212-1217
A remark on regularity criterion for the dissipative quasi-geostrophic equations
Author keywords

Logarithmic Sobolev inequalities; Quasi geostrophic equations; Regularity criterion
Indexed keywords

EID: 33846591082     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.07.054     Document Type: Article
Times cited : (20)
References (13)
  • 1
    • 33748882638 scopus 로고    scopus 로고
    • On the regularity conditions for the dissipative quasi-geostrophic equations
    • Chae D. On the regularity conditions for the dissipative quasi-geostrophic equations. SIAM J. Math. Anal. 37 (2006) 1649-1656
    • (2006) SIAM J. Math. Anal. , vol.37 , pp. 1649-1656
    • Chae, D.1
  • 2
    • 0037330176 scopus 로고    scopus 로고
    • Global well-posedness in the super-critical dissipative quasi-geostrophic equations
    • Chae D., and Lee J. Global well-posedness in the super-critical dissipative quasi-geostrophic equations. Comm. Math. Phys. 233 (2003) 297-311
    • (2003) Comm. Math. Phys. , vol.233 , pp. 297-311
    • Chae, D.1    Lee, J.2
  • 3
    • 0043172071 scopus 로고
    • Formation of strong fronts in the 2D quasi-geostrophic thermal active scalar
    • Constantin P., Majda A., and Tabak E. Formation of strong fronts in the 2D quasi-geostrophic thermal active scalar. Nonlinearity 7 (1994) 1495-1533
    • (1994) Nonlinearity , vol.7 , pp. 1495-1533
    • Constantin, P.1    Majda, A.2    Tabak, E.3
  • 4
    • 0033419179 scopus 로고    scopus 로고
    • Behavior of solutions of 2D quasi-geostrophic equations
    • Constantin P., and Wu J. Behavior of solutions of 2D quasi-geostrophic equations. SIAM J. Math. Anal. 30 (1999) 937-948
    • (1999) SIAM J. Math. Anal. , vol.30 , pp. 937-948
    • Constantin, P.1    Wu, J.2
  • 5
    • 11144329539 scopus 로고    scopus 로고
    • Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equation in the Sobolev space
    • Ju N. Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equation in the Sobolev space. Comm. Math. Phys. 251 (2004) 365-376
    • (2004) Comm. Math. Phys. , vol.251 , pp. 365-376
    • Ju, N.1
  • 6
    • 84990617895 scopus 로고
    • Commutator estimates and the Euler and Navier-Stokes equations
    • Kato T., and Ponce G. Commutator 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
  • 7
    • 0012945781 scopus 로고    scopus 로고
    • The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
    • Kozono H., Ogawa T., and Taniuchi Y. The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations. Math. Z. 242 (2002) 251-278
    • (2002) Math. Z. , vol.242 , pp. 251-278
    • Kozono, H.1    Ogawa, T.2    Taniuchi, Y.3
  • 8
    • 0000669501 scopus 로고    scopus 로고
    • A two-dimensional model for quasi-geostrophic flow: Comparison with the two-dimensional Euler flow
    • Majda A., and Tabak E. A two-dimensional model for quasi-geostrophic flow: Comparison with the two-dimensional Euler flow. Phys. D 98 (1996) 515-522
    • (1996) Phys. D , vol.98 , pp. 515-522
    • Majda, A.1    Tabak, E.2
  • 10
    • 0000169262 scopus 로고
    • On the interior regularity of weak solutions of the Navier-Stokes equations
    • Serrin J. On the interior regularity of weak solutions of the Navier-Stokes equations. Arch. Ration. Mech. Anal. 9 (1962) 187-195
    • (1962) Arch. Ration. Mech. Anal. , vol.9 , pp. 187-195
    • Serrin, J.1
  • 13
    • 11844291951 scopus 로고    scopus 로고
    • The two-dimensional quasi-geostrophic equation with critical or supercritical dissipation
    • Wu J. The two-dimensional quasi-geostrophic equation with critical or supercritical dissipation. Nonlinearity 18 (2005) 139-154
    • (2005) Nonlinearity , vol.18 , pp. 139-154
    • Wu, J.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.