scholarly journals Lake equations with an evanescent or emergent island

2022 ◽  
Vol 20 (1) ◽  
pp. 85-122
Author(s):  
Lars Eric Hientzsch ◽  
Christophe Lacave ◽  
Evelyne Miot
Keyword(s):  
Lake Equations

scholarly journals Vortex Motion for the Lake Equations

2020 ◽  
Vol 375 (2) ◽  
pp. 1459-1501
Author(s):  
Justin Dekeyser ◽  
Jean Van Schaftingen
Keyword(s):  
Vortex Motion ◽  
Lake Equations

scholarly journals Topography Influence on the Lake Equations in Bounded Domains

2013 ◽  
Vol 16 (2) ◽  
pp. 375-406 ◽  
Author(s):  
Christophe Lacave ◽  
Toan T. Nguyen ◽  
Benoit Pausader
Keyword(s):  
Bounded Domains ◽  
Lake Equations

Global well-posedness for the lake equations

1996 ◽  
Vol 98 (2-4) ◽  
pp. 492-509 ◽  
Author(s):  
C.David Levermore ◽  
Marcel Oliver ◽  
Edriss S. Titi
Keyword(s):  
Well Posedness ◽  
Lake Equations

scholarly journals Solutions and Drift Homogenization for a Class of Viscous Lake Equations in

2021 ◽  
Author(s):  
Maoting Tong
Keyword(s):  
Continuous Function ◽  
Strong Solution ◽  
Initial Value Problem ◽  
Smooth Function ◽  
Three Dimensional ◽  
Usual Sense ◽  
Bounded Operators ◽  
Initial Value ◽  
Lake Equations ◽  
Local Strong Solution

In this paper we study solutions and drift homogenization for a class of viscous lake equations by using the method of semigroups of bounded operators. Suppose that the initial value i.e.,for some Hölder continuous function onwith smooth function value satisfying and Then the initial value problem (2) for viscous lake equations has a unique smooth local strong solution. Using this result we study the drift homogenization for three-dimensional stationary Stokes equation in the usual sense

The global attractor associated with the viscous lake equations

Nonlinearity ◽  
2004 ◽  
Vol 17 (3) ◽  
pp. 1041-1055 ◽  
Author(s):  
William Ott
Keyword(s):  
Global Attractor ◽  
Lake Equations

scholarly journals Global solutions to the lake equations with isolated vortex regions

2003 ◽  
Vol 61 (4) ◽  
pp. 613-638 ◽  
Author(s):  
Chaocheng Huang
Keyword(s):  
Global Solutions ◽  
Lake Equations
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