@article{Li2024, 
author = {Mingming Li and Shaoyong Lai},
title = {The entropy weak solution to a nonlinear shallow water wave equation including the Degasperis-Procesi model},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {1772-1782},
keywords = {Entropy solution, shallow water wave model, existence and uniqueness},
url = {https://www.sciopen.com/article/10.3934/math.2024086},
doi = {10.3934/math.2024086},
abstract = {A nonlinear model, which characterizes motions of shallow water waves and includes the famous Degasperis-Procesi equation, is considered. The essential step is the derivation of the        L    2    (      R    ) uniform bound of solutions for the nonlinear model if its initial value belongs to space        L    2    (      R    ). Utilizing the bounded property leads to several estimates about its solutions. The viscous approximation technique is employed to establish the well-posedness of entropy weak solutions.}
}