Hamiltonian long‐wave expansions for free surfaces and interfaces

By Walter Craig, Philippe Guyenne, Henrik Kalisch. 2005

270 citations recorded by the source corpus.

Subfields: Earth-Surface Processes, Oceanography

View Paper: https://www.semanticscholar.org/paper/87c2df7d3ae8024ebc49fc38c9590711f0f1e09b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Earth-Surface Processes

1. Didier Pilod
2. Carlos E. Kenig
3. Walter Craig
4. Philippe Guyenne
5. David Lannes
6. Philippe Bonneton

In Oceanography

1. Didier Pilod
2. Carlos E. Kenig
3. Walter Craig
4. Philippe Guyenne
5. David Lannes
6. Philippe Bonneton

Citations in the corpus

• On the Cauchy problem for higher-order nonlinear dispersive equations (2007, methodology): “In [ 3 ], Craig, Guyenne and Kalisch (always using a Hamiltonian perturbation theory) also derived a higher order intermediate long wave equation.”
• Well-posedness for the fifth-order KdV equation in the energy space (2012, methodology): “They have been derived as second-order asymptotic expansions for unidirectional wave propagation in the so-called Boussinesq regime (see Craig, Guyenne and Kalisch [5], Olver [31], Craig and Groves [6] and the references therein), the first-order expansions being of course the Korteweg-de Vries (KdV”
• Hamiltonian long–wave expansions for water waves over a rough bottom (2005, methodology): “…in (4.11) has a mean value of zero, being a total derivative, and it drops from the Hamiltonian at any finite order in ε. Recalling from Craig et al. (2004) that the scaling (4.1) modifies the symplectic structure so that J = ε3J ′ and dropping the primes, the equations of motion…”