The Cauchy problem on large time for surface-waves-type boussinesq systems II

Jean Claude Sauty; Chao Wangz; Li Xux

doi:10.1137/15M1050203

The Cauchy problem on large time for surface-waves-type boussinesq systems II

Jean Claude Sauty^*
, Chao Wangz
, Li Xux

^*Corresponding author for this work

Université Paris-Sud 11
Peking University
CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

This paper is a continuation of a previous work by two of the authors [J.-C. Saut and Li Xu, J. Math. Pures Appl. (9), 97 (2012), pp. 635-662.] on long time existence for Boussinesq systems modeling the propagation of long, weakly nonlinear water waves. We provide proofs on examples not considered in the Sant and Xu paper; in particular, we prove a long time well-posedness result for a delicate "strongly dispersive" Boussinesq system.

Original language	English
Pages (from-to)	2321-2386
Number of pages	66
Journal	SIAM Journal on Mathematical Analysis
Volume	49
Issue number	4
DOIs	https://doi.org/10.1137/15M1050203
State	Published - 2017
Externally published	Yes

Keywords

Bousinesq systems
Cauchy problem
Long time existence

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10.1137/15M1050203

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N2 - This paper is a continuation of a previous work by two of the authors [J.-C. Saut and Li Xu, J. Math. Pures Appl. (9), 97 (2012), pp. 635-662.] on long time existence for Boussinesq systems modeling the propagation of long, weakly nonlinear water waves. We provide proofs on examples not considered in the Sant and Xu paper; in particular, we prove a long time well-posedness result for a delicate "strongly dispersive" Boussinesq system.

AB - This paper is a continuation of a previous work by two of the authors [J.-C. Saut and Li Xu, J. Math. Pures Appl. (9), 97 (2012), pp. 635-662.] on long time existence for Boussinesq systems modeling the propagation of long, weakly nonlinear water waves. We provide proofs on examples not considered in the Sant and Xu paper; in particular, we prove a long time well-posedness result for a delicate "strongly dispersive" Boussinesq system.

KW - Bousinesq systems

KW - Cauchy problem

KW - Long time existence

UR - https://www.scopus.com/pages/publications/85028602689

U2 - 10.1137/15M1050203

DO - 10.1137/15M1050203

M3 - 文章

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JO - SIAM Journal on Mathematical Analysis

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IS - 4

ER -

The Cauchy problem on large time for surface-waves-type boussinesq systems II

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Keywords

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