Dynamical Properties of Solutions for Various Types of Nonlinear Partial Differential Equations
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...
| Main Author: | |
|---|---|
| Format: | Thesis |
| Published: |
Curtin University
2019
|
| Online Access: | http://hdl.handle.net/20.500.11937/79916 |
| _version_ | 1848764127715000320 |
|---|---|
| author | Li, Rui |
| author_facet | Li, Rui |
| author_sort | Li, Rui |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T11:14:25Z |
| format | Thesis |
| id | curtin-20.500.11937-79916 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:14:25Z |
| publishDate | 2019 |
| publisher | Curtin University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-799162022-07-15T04:07:42Z Dynamical Properties of Solutions for Various Types of Nonlinear Partial Differential Equations Li, Rui 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. 2019 Thesis http://hdl.handle.net/20.500.11937/79916 Curtin University fulltext |
| spellingShingle | Li, Rui Dynamical Properties of Solutions for Various Types of Nonlinear Partial Differential Equations |
| title | Dynamical Properties of Solutions for Various Types of Nonlinear Partial Differential Equations |
| title_full | Dynamical Properties of Solutions for Various Types of Nonlinear Partial Differential Equations |
| title_fullStr | Dynamical Properties of Solutions for Various Types of Nonlinear Partial Differential Equations |
| title_full_unstemmed | Dynamical Properties of Solutions for Various Types of Nonlinear Partial Differential Equations |
| title_short | Dynamical Properties of Solutions for Various Types of Nonlinear Partial Differential Equations |
| title_sort | dynamical properties of solutions for various types of nonlinear partial differential equations |
| url | http://hdl.handle.net/20.500.11937/79916 |