Mikhail Perepelitsa, Ph.D.
Assistant Professor

 

University  of Houston

Department of Mathematics

 

Office: PGH 631

e-mail: misha AT math.uh.edu

phone: 713 7433484
fax:      713 7433505

 

MATH 3338 FALL 2014


MATH 3364-03 SUMMER 2014

 

MATH 3338-02 SPRING 2014
MATH 3336-01 SPRING 2014

 

 

 

Vita:   PDF
Research Interests:
Analysis of PDEs. Supported by NSF grant  DMS 1108048, 2011-2014
Recent papers:

Variational properties of the kinetic solutions of scalar
conservation laws.(supported by NSF DMS 1108048) (submitted to J. Hyperbolic Diff. Eqs., 2013).

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Weak solutions of the Navier-Stokes equations for compressible flows a half-space with no-slip boundary conditions. (to appear in ARMA, 2014).

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

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

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

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Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow. (with G.Q. Chen), Comm. Pure Appl. Math. 63 (2010), no. 11, 1469--1504.

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Instantaneous boundary tangency and cusp formation in two-dimensional fluid flow. (with D. Hoff), SIAM J. Math. Anal. 41 (2009), 753--780.

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Asymptotics toward a rarefaction wave with vacuum in 1-d Navier-Stokes equations, SIAM J. Math. Anal. 42, 1404 (2010), 1404--1412.

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