Vanishing viscosity limit for an expanding domain in space
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Variable depth KdV equations and generalizations to more nonlinear regimes
Samer Israwi (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We study here the water waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced. It is known that, for such regimes, a generalization of the KdV equation (somehow linked to the Camassa-Holm equation) can be derived and justified [Constantin and Lannes, Arch. Ration. Mech. Anal. 192 (2009) 165–186] when the bottom is flat. We generalize here this result with a new class of equations taking into account...
Variational problems on classes of rearrangements and multiple configurations for steady vortices
G. R. Burton (1989)
Annales de l'I.H.P. Analyse non linéaire
Variations of Robin capacity and applications.
Nasyrov, S.R. (2008)
Sibirskij Matematicheskij Zhurnal
Vertical blow ups of capillary surfaces in . I: Convex corners.
Jeffres, Thalia, Lancaster, Kirk (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Vertical blow ups of capillary surfaces in . II: Nonconvex corners.
Jeffres, Thalia, Lancaster, Kirk (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Currently displaying 1 – 6 of 6
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