Well-posedness of the Cauchy problem and stability theory for nonlinear dispersive...
Higher order models for waves in nonlinear, dispersive media
Schrodinger equations with point interactions and instability for the fractional K...
Grant number: | 15/06131-5 |
Support Opportunities: | Scholarships in Brazil - Doctorate |
Start date until: | August 01, 2015 |
End date until: | July 31, 2020 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
Agreement: | Coordination of Improvement of Higher Education Personnel (CAPES) |
Principal Investigator: | Mahendra Prasad Panthee |
Grantee: | Francisco Javier Vielma Leal |
Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Associated scholarship(s): | 18/18883-0 - On the controllability and stabilization of the Benjamin equation and its generalization on a periodic domain, BE.EP.DR |
Abstract During the working programme, we are interested in studying the existence and qualitative properties of solutions to non-linear dispersive type equations. In particular, the focus of our study is on issues such as well-posedness of the associated Cauchy problem, stabilization, controllability, existence and stability of solitary wave solutions. Long time behavior, especially for the low-regularity data, will also be considered. Our solution method may consists of Viscosity method, Iteration (Picard) method, Fourier transform restriction norm method, High-low frequency method and recently developed I-method. (AU) | |
News published in Agência FAPESP Newsletter about the scholarship: | |
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