Water waves and integrability
Copyright policy )Water waves and integrability
Euler's equations describe the motion of inviscid fluid. In the case of shallow water, when a perturbative asymptotic expansion of Euler's equations is considered (to a certain order of smallness of the scale parameters), relations to certain integrable equations emerge. Some recent results concerning the use of integrable equation in modelling the motion of shallow water waves are reviewed in this contribution.
- Trinity College Dublin Ireland
- Technological University Dublin Ireland
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Non-linear Dynamics, Camassa-Holmequation, Partial Differential Equations, FOS: Physical sciences, Mathematical Physics (math-ph), Integrability, PDEs in connection with fluid mechanics, Euler's equations, integrability, Degasperis-Procesi equation, 510, Dynamic Systems, Korteweg-de Vries equation, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, Exactly Solvable and Integrable Systems (nlin.SI), Camassa-Holm equation, Euler?s equations, Mathematics, Mathematical Physics
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Non-linear Dynamics, Camassa-Holmequation, Partial Differential Equations, FOS: Physical sciences, Mathematical Physics (math-ph), Integrability, PDEs in connection with fluid mechanics, Euler's equations, integrability, Degasperis-Procesi equation, 510, Dynamic Systems, Korteweg-de Vries equation, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, Exactly Solvable and Integrable Systems (nlin.SI), Camassa-Holm equation, Euler?s equations, Mathematics, Mathematical Physics
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