Dynamical Properties of Solutions for Various Types of Nonlinear Partial Differential Equations
Access Status
Open access
Authors
Li, Rui
Date
2019Supervisor
Yong Wu
Benchawan Wiwatanapataphee
Type
Thesis
Award
PhD
Metadata
Show full item recordFaculty
Science and Engineering
School
School of Electrical Engineering, Computing and Mathematical Sciences
Collection
Abstract
In this thesis, we investigate the existence of global weak solutions for a generalized Benjamin-Bona-Burgers equation and a nonlinear equation with quartic nonlinearities. The existence of local weak solutions and well-posedness of local strong solutions are established for two nonlinear equations with quadratic and cubic nonlinearities, respectively. Moreover, conditions of wave breaking for a generalized Degasperis-Procesi equation are obtained.
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