Concepedia

Justification of the Nonlinear Schrödinger Equation for the Evolution of Gravity Driven 2D Surface Water Waves in a Canal of Finite Depth

Wolf‐Patrick Düll, Guido Schneider, C. Eugene Wayne

Archive for Rational Mechanics and Analysis · 2015 · 36 citations · 34 references

References

34

Stability of periodic waves of finite amplitude on the surface of a deep fluid

Journal of Applied Mechanics and Technical Physics · 1968 · 2.5K citations

Natural Sciences, Mathematics, Physics +14

Well-posedness in Sobolev spaces of the full water wave problem in 3-D

Sijue Wu · Journal of the American Mathematical Society · 1999 · 503 citations · Full text

Natural Sciences, Oceanography, Physics +16

Well-posedness in Sobolev spaces of the full water wave problem in 2-D

Sijue Wu · Inventiones mathematicae · 1997 · 463 citations

Natural Sciences, Ocean Engineering, Oceanography +12

Well-posedness of the water-waves equations

David Lannes · Journal of the American Mathematical Society · 2005 · 453 citations · Full text

Natural Sciences, Mathematics, Oceanography +13

An existence theory for water waves and the boussinesq and korteweg-devries scaling limits

Walter Craig · Communications in Partial Differential Equations · 1985 · 388 citations

Natural Sciences, Earth Sciences, Mathematics +10