The Linear Shallow Water Theory: A Mathematical Justification

DOI10.1137/0524055zbMath0784.35083OpenAlexW2074204489MaRDI QIDQ3142791

Daniel A. Williams III, J. A. Donaldson

Publication date: 17 April 1994

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1828/1600

zbMATH Keywords

nonlinear wavesshallow water equationsCauchy problemselliptic boundary-value problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Initial value problems for second-order hyperbolic equations (35L15)

This page was built for publication: The Linear Shallow Water Theory: A Mathematical Justification