Research Interests:
Nonlinear partial differential equations and applications. I focused on:
1. The deterministic and stochastic Zakharov-Kuznetsov equation. Basic mathematical theories were established for the initial-boundary value
problem.
2. Numerical analysis for stochastic geophysical fluid models. A time discrete approximation was constructed for the stochastic primitive equations of
the atmosphere and oceans.
Mathematical modeling, computation and applied analysis. I am currently working on:
Stochastic-statistical models of criminal behavior. Statistical agent-based models for residential burglary were improved and analyzed with the
application of probability, partial differential equations and stochastic analysis.
Research Interests: analysis, applied and computational math
Current Projects: PDEs, stochastic PDEs, statistical-stochastic modeling with applications
