The linearized classical Boussinesq system on the half‐line

DOI10.1111/sapm.12359zbMath1478.35176arXiv2009.09532OpenAlexW3125238686MaRDI QIDQ4995594

C. M. Johnston, Clarence T. Gartman, Dionyssios Mantzavinos

Publication date: 25 June 2021

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09532

zbMATH Keywords

initial-boundary value problemhalf-lineclassical Boussinesq systemnonzero boundary conditionsunified transform method of Fokas

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Integral representations of solutions to PDEs (35C15) Fourier integral operators applied to PDEs (35S30) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15) Initial value problems for systems of linear higher-order PDEs (35G40)

Related Items (2)

Freely floating objects on a fluid governed by the Boussinesq equations ⋮ Extended water wave systems of Boussinesq equations on a finite interval: theory and numerical analysis

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