Blow-Up in a Modified Constantin-Lax-Majda Model for the Vorticity Equation

1999 ◽  
Vol 18 (2) ◽  
pp. 183-191 ◽  
Author(s):  
E. Wegert ◽  
A.S. Vasudeva Murthy
1993 ◽  
Vol 18 (12) ◽  
pp. 2071-2106
Author(s):  
Philippe Clément ◽  
Raúl Manásevich ◽  
Enzo Mitidieri

1967 ◽  
Vol 20 (3) ◽  
pp. 28-31
Author(s):  
Max Kozloff

2005 ◽  
Vol 5 (3) ◽  
pp. 223-241
Author(s):  
A. Carpio ◽  
G. Duro

AbstractUnstable growth phenomena in spatially discrete wave equations are studied. We characterize sets of initial states leading to instability and collapse and obtain analytical predictions for the blow-up time. The theoretical predictions are con- trasted with the numerical solutions computed by a variety of schemes. The behavior of the systems in the continuum limit and the impact of discreteness and friction are discussed.


Tellus ◽  
1955 ◽  
Vol 7 (4) ◽  
pp. 518-521 ◽  
Author(s):  
N. P. Fofonoff ◽  
R. B. Montgomery

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