Moments and lower bounds in the far-field of solutions to Quasi-geostrophic flows

Discrete and Continuous Dynamical Systems

Volumn 13, Issue 5, 2005, Pages 1277-1304

  Schonbek, Maria ^a   Schonbek, Tomas ^b  

^a University of Santa Cruz   (United States)

^b FLORIDA ATLANTIC UNIVERSITY   (United States)

Author keywords

Decay; Fourier splitting; Quasi geostrophic

Indexed keywords

EID: 28444450853     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2005.13.1277     Document Type: Article

References (13)

1. M. Cannone Ondelettes, Paraproduits et Navier-Stokes, Diderot Editeur, Arts et Sciences, Paris 1995.
2. P. Constantin, D. Cordoba, J. Wu, On the critical Dissipative Quasi-geostrophic Equation, Indiana University Mathematics Journal, Vol 50, No.1 (2001), 97-107.
3. P. Constantin, A. Majda, E. Tabak, Formation of strong fronts in the 2D- Quasi-geostrophic thermal active scalar, Nonlinearity 7 (1994), 1495-1533.
4. P. Constantin, J. Wu, Behavior of solutions of 2D Quasi-geostrophic equations, Siam J. Math. Anal.,Vol.30, No.5, (1999),937-948.
5. A. Friedman, Partial Differential Equations, Holt, Rinehart & Winston, New York, 1969.
6. n. Preprint, Kobe University, 2000.
7. 2, Funkc. Ekv. 41 (1998), 383-434.
8. n, Mathematica Bohemica, 126, No 2 (2001), 257-263.
9. J. Pedlosky, Geophisical Fluid Dynamics, Springer Verlag, New York, 1987.
10. M.E. Schonbek, Decay of solutions to parabolic conservation laws, Comm. Partial Differential Equations, 5 (1980), 449-473.
11. 2 decay of weak solutions of the Navier- Stokes equations, Arch. Rational Mech. Anal., Vol. 88 (1985), 209-222.
12. M.E. Schonbek, T.P. Schonbek, Asymptotic behavior to Dissipative Quasi-Geostrophic flow, Siam Math Anal, Vol 35, No.2 (2003), pp 357-375.
13. pdata, Electronic journal of differential equations, 2001, (2001) No. 56, 1-13.