Conservation laws, balance laws and related PDEs with discontinuous and nonlocal f...
Ibragimov's theorem and conservation laws for equations without Lagrangians.
Well-posedness of the Cauchy problem and stability theory for nonlinear dispersive...
Grant number: | 15/24589-9 |
Support Opportunities: | Regular Research Grants |
Duration: | March 01, 2016 - February 28, 2018 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
Principal Investigator: | Yuri Dimitrov Bozhkov |
Grantee: | Yuri Dimitrov Bozhkov |
Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Abstract
We intend to perform complete Group Analysis of various nonlinear diffrential equations and systems coming from Analysis, Differentail Geometry, Mathematical Physics, Biology, using variational methods, symmetry Lie groups, Pohozaev and Rellich type Identities, the Noether Theorem, the New Conservation Theorem of Nail H. Ibragimov, and symbolic calculation programs. (AU)
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