- 2021 - 2025 Global analysis for solution of dispersive partial differential equation with mass subcritical nonlinearity
- 2021 - 2024 Analysis of nonlinear Schrodinger equation on network
- 2020 - 2024 New developments in mathematical analysis of spatio-temporal nonuniform dynamics in quasilinear hyperbolic-parabolic conservation laws
- 2019 - 2024 Creation of advanced method in mathematical analysis on nonlinear mathematical models of critical type
- 2017 - 2021 Analysis of large time behavior of solution to nonlinear partial differential equations with dispersion
- 2013 - 2018 Analysis of dispersive wave, solitary wave and their interactions for nonlinear dispersive equations
- 2009 - 2012 Long time behavior and singular limit for solution tononlinear dispersive equation
- 2002 - On long time behavior of solution to nonlinear dispersive equations
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