On the validity of Chapman-Enskog expansions for shock waves with small strength.
Bedjaoui, Nabil, Klingenberg, Christian, LeFloch, Philippe G. (2004)
Portugaliae Mathematica. Nova Série
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Bedjaoui, Nabil, Klingenberg, Christian, LeFloch, Philippe G. (2004)
Portugaliae Mathematica. Nova Série
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Samer Israwi (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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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, (2009) 165–186] when the bottom is flat. We generalize here this result with a new class of equations taking into account variable bottom...
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