Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane

zbMath1382.35207MaRDI QIDQ5963183

Chun-Hsiung Hsia, Jerry L. Bona, Hongqiu Chen

Publication date: 4 March 2016

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1455805260

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) Solitary waves for incompressible inviscid fluids (76B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Internal waves for incompressible inviscid fluids (76B55) Soliton equations (35Q51) Systems of nonlinear integral equations (45G15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

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