Global Well-Posedness of the BCL System with Viscosity

Citation:

Junqi HU.Global Well-Posedness of the BCL System with Viscosity[J].Chinese Annals of Mathematics B,2009,30(2):153~172
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Authors:

Junqi HU;

Foundation:

the Leading Academic Discipline Program and the 211 Project for Shanghai University of Finance and Economics (the 3rd phase).
Abstract: The BCL system, a kind of equations governing the motion of the free surface of water waves in R3, is studied. Some results on the global existence, uniqueness and regularity of solutions to such system with small initial data are obtained.

Keywords:

Pseudo-differential operator, Water waves, Global well-posedness

Classification:

35G25, 35S10
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