**Mikhail Perepelitsa**

**Associate Professor**

University of
Houston

Department
of Mathematics

Office:
PGH 621

e-mail: misha
AT math uh edu

phone:
713 7433484

fax: 713 7433505

### Research interests: Analysis of PDEs, Stochastic Processes, Applied
Mathematics

### Teaching Spring
2019: Linear Algebra (2331)

**Education:**** **PhD,** **Northwestern University (2004); BS/MS,
Novosibirsk State University (1996/1998)

**Book Chapters:**

*Topic on Compressible Navier-Stokes
Equations, Ed. D. Bresch,** *Panoramas
and Syntheses 50, Societe Mathematique
de France, 2016

Weak solutions in the
intermediate regularity class*, *Handbook
of Mathematical Analysis in Mechanics of Viscous Fluids, Ed. Y. Giga and A.
Novotny, Springer, 2017

**Selected Publications and Preprints: **

(with I. Timofeev)
Asynchronous stochastic price pump.

A kinetic
transport-projection splitting algorithm for a hierarchy of moment closures of
gas-kinetic equations.

An integral representation of lower semi-continuous functions with an
application to a kinetic model of gas dynamics.

A kinetic formulation for approximately isentropic solutions of the Euler equations.

On a kinetic formulation of the Euler equations.

(with G.-Q. Chen)
Vanishing Viscosity Solutions of the compressible Euler equations with
spherical symmetry and large data.

Variational properties of the kinetic solutions of
scalar conservation laws.

(with G.-Q. Chen)
Vanishing viscosity limit for viscous shallow water models.

(with D. Hoff) Boundary
tangency for density interfaces in compressible, viscous flows.

(with D. Hoff)
Instantaneous cusp formation and boundary tangancy in
two-dimensional fluid flow.

(with V.V. Shelukhin)
On global solutions of a boundary-value problem for the one-dimensional
Buckley-Leverett equations.

(advisor A.V. Kazhikov)
Weak solutions of scalar conservation laws in Orlich
spaces, MS in Math Thesis, Novosibirsk State U. (in russian).