Infinite superlinear growth of the gradient for the two-dimensional Euler equation

Discrete and Continuous Dynamical Systems

Volumn 23, Issue 3, 2009, Pages 755-764

  Denisov, Sergey A ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Growth of the gradient; Two dimensional Euler equation

Indexed keywords

EID: 63049089051     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2009.23.755     Document Type: Article

References (5)

1. A. Kiselev and F. Nazarov, A simple energy pump for periodic 2D QGE, preprint.
2. C. Marchioro and M. Pulvirenti, "Mathematical Theory of Incompressible Nonviscous Fluids," Applied Mathematical Sciences, 96. Springer-Verlag, New York, 1994.
3. N. S. Nadirashvili, Wandering solutions of the two-dimensional Euler equation, (Russian) Funktsional. Anal, i Prilozhen. 25 (1991), 70-71; translation in Funct. Anal. Appl., 25 (1991), 220-221 (1992).
4. V. I. Judovic, The loss of smoothness of the solutions of Euler equations with time, (Russian) Dinamika Splosn. Sredy Vyp. 16 Nestacionarnye Problemy Gidrodinamiki (1974), 71-78, 121.
5. V. I. Yudovich, On the loss of smoothness of the solutions of the Euler equations and the inherent instability of flows of an ideal fluid, Chaos, 10 (2000), 705-719.