TY - JOUR
T1 - WELL-POSEDNESS FOR A HIGHER-ORDER, NONLINEAR, DISPERSIVE EQUATION ON A QUARTER PLANE
AU - Chen, Hongqiu
N1 - KAUST Repository Item: Exported on 2022-06-03
Acknowledgements: The author wishes to record her thanks to the Archimedes Center for Modeling, Analysis and Computation at the University of Crete, Greece and University of Illinois at Chicago for support and hospitality during an early and important stage of this research. She received support from Universit´e ParisEst Cr´eteil-Val de Marne (ex-Universit´e Paris 12). The paper is finished when she was visiting King Abdullah University of Science and Technology in Kingdom of Saudi Arabia and Mathematic Division of National Center for Theoretical Science at National Taiwan University.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2018/1
Y1 - 2018/1
N2 - The focus of the current paper is the higher order nonlinear dispersive equation which models unidirectional propagation of small amplitude long waves in dispersive media. The specific interest is in the initial-boundary value problem where spatial variable lies in R+; namely, quarter plane problem. With proper requirement on initial and boundary condition, we show local and global well posedness.
AB - The focus of the current paper is the higher order nonlinear dispersive equation which models unidirectional propagation of small amplitude long waves in dispersive media. The specific interest is in the initial-boundary value problem where spatial variable lies in R+; namely, quarter plane problem. With proper requirement on initial and boundary condition, we show local and global well posedness.
UR - http://hdl.handle.net/10754/678544
UR - http://aimsciences.org//article/doi/10.3934/dcds.2018019
UR - http://www.scopus.com/inward/record.url?scp=85033800684&partnerID=8YFLogxK
U2 - 10.3934/dcds.2018019
DO - 10.3934/dcds.2018019
M3 - Article
SN - 1553-5231
VL - 38
SP - 397
EP - 429
JO - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
JF - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
IS - 1
ER -