Fourier splitting and dissipation of nonlinear dispersive waves

DOI10.1017/S0308210500021478zbMath0947.35130MaRDI QIDQ4260302

Keith Promislow, Francoise Demengel, Jerry L. Bona

Publication date: 4 June 2000

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformasymptotic formsSchwartz inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items

Finite difference/spectral approximations to a water wave model with a nonlocal viscous term, Asymptotics in the critical case for Whitham type equations, Long-time behavior of solutions of the generalized Korteweg-de Vries equation, Decay of solutions to a viscous asymptotical model for waterwaves: Kakutani-Matsuuchi model, Theoretical and numerical analysis of the decay rate of solutions to a water wave model with a nonlocal viscous dispersive term with Riemann-Liouville half derivative, Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\), Global behavior for Whitham type equations on a finite interval, FRACTIONAL LANDAU–GINZBURG EQUATIONS ON A SEGMENT, Asymptotics for the Korteweg-de Vries-Burgers equation, Zero-Dissipation Limit for Nonlinear Waves, The effect of dissipation on solutions of the generalized Korteweg-de Vries equation

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