Quasi-geostrophic type equations with weak initial data

Electronic Journal of Differential Equations

Volumn 1998, Issue , 1998, Pages 1-10

  Wu, Jiahong ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

Quasi geostrophic equations; Weak data; Well posedness

Indexed keywords

EID: 3342881923     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. J. Charney, N. Phillips, Numerical integrations of the quasi-geostrophic equations for barotropic and simple baroclinic flows, J. Meteorol., 10(1953), 71-99.
2. P. Constantin, A. Majda, E. Tabak, Formation of strong fronts in the 2-D quasi-geostrophic thermal active scalar, Nonlinearity, 7(1994), 1495-1533
3. C. Foias, R. Temam, Gevrey class regularity for the solutions. of the Navier-Stokes equations, J. Funct. Anal., 87(1989), 359-369.
4. p and regularity of weak solutions of the Navier-Stokes system, J. Diff. Eq., 62(1986), 186-212.
5. Y. Giga, T. Miyakawa, H. Osada, Two dimensional Navier-Stokes flow with measures as initial vorticity, Arch. Rational Mech. Anal., 104(1988), 223-250.
6. I. Held, R. Pierrehumbert, S. Garner, K. Swanson, Surface quasigeostrophic dynamics, J. Fluid Mech., 282(1995), 1-20.
7. m with applications to weak solutions, Math. Z., 187(1984), 471-480.
8. 2 with measure as the initial vorticity, Diff. Integral Eq., 7(1994), 949-966.
9. T. Kato, H. Fujita, On the nonstationary Navier-Stokes equations, Rend. Sem. mat. Univ. Padova, 32(1962), 243-260.
10. T. Kato, G. Ponce, The Navier-Stokes equations with weak initial data, Int. Math. Research Notices, 10(1994), 435-444.
11. 2), Rev. Mat. Iber. 2(1986), 73-88.
12. J. Pedlosky, "Geophysical Fluid Dynamics", Springer, New York, 1987.
13. S. Resnick, "Dynamical Problems in Non-linear Advective Partial Differential Equations", Ph.D. thesis, University of Chicago, 1995
14. E.M. Stein, "Singular Integrals and Differentiability Properties of Functions", NJ: Princeton University Press, 1970
15. J. Wu, Inviscid limits and regularity estimates for the solutions of the 2-D dissipative quasi-geostrophic equations, Indiana Univ. Math. J., 46(1997), in press.