Global existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations
Language
en
Article de revue
This item was published in
Nonlinearity. 2006-01, vol. 19, n° 3, p. 591-610
IOP Publishing
English Abstract
This paper deals with global existence and uniqueness for the lake equations with a bottom topography vanishing on the shore. Our result generalizes previous studies that assumed the depth to be nondegenerate. Elliptic ...Read more >
This paper deals with global existence and uniqueness for the lake equations with a bottom topography vanishing on the shore. Our result generalizes previous studies that assumed the depth to be nondegenerate. Elliptic estimates for degenerate equations has to be established studying the behavior of the associated Green function.Read less <
English Keywords
weighted Sobolev spaces
degenerate elliptic equation
Regularity result
Youdovitch's method
vorticity-Stream function formulation
Youdovitch's method.
Origin
Hal imported