SUMMER SCHOOL
Fluid Dynamics
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Each participant will lecture on one of the following papers.
Some of the papers are longer and will be discussed by two of the
participants. Some of the papers will only be read partially,
more detailed instructions will be given at the time of assignment
of topics. The papers are not listed in the order of difficulty
nor in the order they will be presented.
Every participant will lecture for 2 hours, split into two
lectures at different days.

On the collapse of tubes carried by 3D flow,
(D. Cordoba, C. Fefferman,
preprint on arXiv server
[Burak Erdogan]

Remarks on the breakdown of smooth solutions for the
3D Euler equations
(T. Beale, T. Kato, A. Majda)
(Comm. Math. Phys. 94, pp. 6166 (1984))
This may be supplemented by the corresponding BMO result
in "Bilinear estimates in BMO and the Navier Stokes equations"
(Kozono, Taniuchi, Math. Z. 235 pp 173194 (2000))
[Natasa Pavlovic]

Geometric constraints on potentially singular solutions
for the 3D Euler equations
(P. Constantin, C. Fefferman, A. Majda)
(Comm. in Part. Diff. Eq. 21 (3&4) pp 559571 (1996)
[Stephanie Molnar]

Nonexistence of simple hyperbolic blowup
for the quasigeostrophic equation
(D. Cordoba)
(Annals of Math. 148 pp 11351152 (1998)
[ChiuYen Kao]

Wellposedness for the NavierStokes equations
(H. Koch, D. Tataru)
preprint
[Chan Woo Yang]

A bilinear estimate with applications to the KdV equation
(C. Kenig, G. Ponce, L. Vega)
Journal of the AMS 9 (no. 2) 1996 99. 573603
PART I: pp 573586
[Xiaochun Li]

A bilinear estimate with applications to the KdV equation
(C. Kenig, G. Ponce, L. Vega)
Journal of the AMS 9 (no. 2) 1996 99. 573603
PART II: pp 586590 (this part requires some extra reading
in references [15] and [18] of this paper)
[Alexei Novikov]

Wellposedness in Sobolev spaces of the full
water wave problem in 2D
(S. Wu)
Invent. Math. 130 (no 1) 3972 (1997)
PART I : pp 3952
[Asger Tornquist]

Wellposedness in Sobolev spaces of the full
water wave problem in 2D
(S. Wu)
Invent. Math. 130 (no 1) 3972 (1997)
PART II: pp 5372 (beginning with section
"Wellposedness of the quasilinear system")
[Camil Muscalu]

Ekman layers of rotating fluids, the case of well
prepared initial data
(E. Grenier, N. Masmoudi)
Comm. in Part. Diff. Eq. 22(5&6) pp 953975 (1997)
[Silvius Klein]

A cheap CaffarelliKohnNirenberg inequality for
Navier Stokes equation with hyper dissipation
(N. Katz, N. Pavlovic)
preprint on arXiv server
[YaJu Tsai]