Mikhail
Perepelitsa, Ph.D.
Assistant Professor
University
of
Houston
Department
of Mathematics
Office: PGH
631
email: misha AT
math.uh.edu
phone: 713
7433484
fax: 713 7433505
MATH
333802 SPRING 2014
MATH 333601 SPRING 2014
Vita: PDF
Research Interests: Analysis of
PDEs. Supported by NSF grant DMS
1108048,
20112014
Recent papers:
Variational
properties of the kinetic solutions of scalar 

Weak solutions of the NavierStokes
equations for compressible flows a halfspace with
noslip boundary conditions. (to appear in ARMA,
2014). 

On a kinetic formulation of the Euler
equations (supported by NSF DMS 1108048) (to appear in
SIAM SIMA, 2014) 

Boundary tangency for density
interfaces in compressible viscous flows. (with D.
Hoff), 2011. 

Vanishing viscosity limit for the
viscous shallow water models. (with G.Q. Chen), 2011.
(supported by NSF DMS 1108048) 

Vanishing viscosity limit of the NavierStokes equations to the
Euler equations for compressible fluid flow. (with
G.Q. Chen), Comm. Pure Appl. Math. 63 (2010), no. 11,
14691504. 

Instantaneous boundary tangency and
cusp formation in twodimensional fluid flow. (with D.
Hoff), SIAM J. Math. Anal. 41 (2009), 753780. 

Asymptotics toward a rarefaction wave with
vacuum in 1d NavierStokes
equations, SIAM J. Math. Anal. 42, 1404 (2010),
14041412. 