On nonlinear nonlocal equations in wave theory. I: The Whitham equation

zbMATH Open0744.35049MaRDI QIDQ1173549

I. A. Shishmarev, Pavel I. Naumkin

Publication date: 25 June 1992

Published in: Moscow University Physics Bulletin (Search for Journal in Brave)

zbMATH Keywords

existencesmoothingCauchy problemperturbationsbreaking of solutions in finite timelocal and global existence in timeprinciples of preserving

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (3)

On non-local Hamiltonian operators of hydrodynamic type connected with Whitham's equations ⋮ Local and global existence of solutions to the nonlocal Whitham equation on half-line. ⋮ The Riemann invariants and characteristic velocities of Whitham equations for the derivative nonlinear Schrödinger equation

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