论文信息 - Eventual Regularity of the Solutions to the Supercritical Dissipative Quasi-Geostrophic Equation - 字舞流文

Eventual Regularity of the Solutions to the Supercritical Dissipative Quasi-Geostrophic Equation

We show that a solution to the supercritical surface quasi-geostrophic equation that is smooth up to a certain time must remain smooth forever.

Michael Dabkowski | Michael Dabkowski

[1] F. Nazarov,et al. Variation on a theme of caffarelli and vasseur , 2009, 0908.0923.

[2] L. Caffarelli,et al. An Extension Problem Related to the Fractional Laplacian , 2006, math/0608640.

[3] H. Helson. Harmonic Analysis , 1983 .

[4] Y. Katznelson. An Introduction to Harmonic Analysis: Interpolation of Linear Operators , 1968 .

[5] Antonio Córdoba,et al. Communications in Mathematical Physics A Maximum Principle Applied to Quasi-Geostrophic Equations , 2004 .

[6] A. Kiselev. Regularity and Blow up for Active Scalars , 2010, 1009.0540.

[7] P. Constantin,et al. On the critical dissipative quasi-geostrophic equation , 2001 .

[8] Vladimir I. Clue. Harmonic analysis , 2004, 2004 IEEE Electro/Information Technology Conference.

[9] Peter Constantin,et al. Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation , 2008 .

[10] A. Volberg,et al. Global well-posedness for the critical 2D dissipative quasi-geostrophic equation , 2007 .

[11] L. Caffarelli,et al. Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation , 2006, math/0608447.

[12] Luis Silvestre,et al. Eventual regularization for the slightly supercritical quasi-geostrophic equation , 2008, 0812.4901.