On the Cauchy problem of a two-component b-family system

Wave breaking for nonlinear nonlocal shallow water equations

Adrian Constantin, Joachim Escher · Acta Mathematica · 1998 · 1.5K citations · Full text

Natural Sciences, Mathematics, Oceanography +12

Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Communications on Pure and Applied Mathematics · 1993 · 1.4K citations

Natural Sciences, Mathematics, Physics +14

Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation

Adrian Constantin, Joachim Escher · Communications on Pure and Applied Mathematics · 1998 · 673 citations

Natural Sciences, Mathematics, Differential Equations +16

A shallow water equation on the circle

Adrian Constantin, H. P. McKean · Communications on Pure and Applied Mathematics · 1999 · 669 citations

Natural Sciences, Earth Sciences, Differential Equations +6

On an integrable two-component Camassa–Holm shallow water system

Adrian Constantin, Rossen I. Ivanov · Physics Letters A · 2008 · 466 citations · Full text

Natural Sciences, Oceanography, Ocean Waves +3