On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation

DOI10.3233/ASY-211721zbMath1504.35305OpenAlexW3187523640MaRDI QIDQ5867633

Lorenzo di Ruvo, Giuseppe Maria Coclite

Publication date: 14 September 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-211721

zbMATH Keywords

stabilityexistenceuniquenessCauchy problemRosenau-Korteweg-de Vries-Kawahara-type equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation ⋮ On \(H^2\)-solutions for a Camassa-Holm type equation ⋮ On the classical solutions for the high order Camassa-Holm type equations ⋮ A note on the convergence of the solution of the high order Camassa-Holm equation to the entropy ones of a scalar conservation law ⋮ Two stability results for the Kawahara equation with a time-delayed boundary control

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