Open AccessSeveral Dynamical Properties for a Nonlinear Shallow Water Equation
Author(s) -
Ls Yong,
Haibo Yan
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/162472
Subject(s) - algorithm , materials science , computer science
A nonlinear third order dispersive shallow water equation including the Degasperis-Procesi model is investigated. The existence of weak solutions for the equation is proved in the space L1(R)∩BV (R) under certain assumptions. The Oleinik type estimate and L2N(R) (N is a natural number) estimate for the solution are obtained
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom