E-mail: pdubovsk "at" stevens.edu

Office: Kidde 226

Research Interests

Publications

Teaching

Research interests: |

Applied Analysis, Kinetic Equations and Conservation Laws, Integral Equations, Mathematical Modeling, Inverse Problems.

Teaching: |

Previous Teaching: |

Some publications (of 50). |

- "Problem Solution in Mathematical Physics," (textbook). Moscow: Nauka, 2002 (with V.I.Agoshkov and V.P.Shutyaev).

- "Mathematical Theory of Coagulation," (monograph). Seoul: Seoul National University, 1994.

- "Reconstruction of the Source Function for the Coagulation-Fragmentation Equation," Russian J. Numerical Analysis and Mathematical Modeling 17, No. 4, 2002 (with V.I.Agoshkov)

- "Solubility of the transport equation in the kinetics of coagulation and fragmentation," Izvestiya: Mathematics 65, No. 1, 1-22, 2001.

- "Analytic solution of the fragmentation equation by means of the adjoint equations methods," Differential Equations 36, No. 10, 1385-1392 (2000)

- "Cancer as a catastrophe of strange attractor," Regional Projects in Natural Sciences 4. Kaluga: Eidos, 2003 (with R.V.Plykin, E.A.Sataev, E.O.Fedorovskaya, in Russian).

- "Functional and measure-valued solutions of the Euler equations for flows of incompressible fluids," Arch. Rational Mech. Anal. 129, 1995, 385-396 (with D. Chae)

- "A "triangle" of interconnected coagulation models," J. Phys. A: Math. Gen. 32, No.5, 1999, 781-793.

- "Exact solutions for the coagulation-fragmentation equation," J. Phys. A: Math. Gen. 25, 1992, 4737-4744 (with V.Galkin and I.Stewart)

- "Nuclear Reactor." Patent of Russia No. 2017242 of 30 July 1994.