Mikhail Perepelitsa, Ph.D.

Affiliations: 
2004 Northwestern University, Evanston, IL 
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"Mikhail Perepelitsa"
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Gui-Qiang Chen grad student 2004 Northwestern (MathTree)
 (Global existence of solutions with large, discontinuous initial data for the Navier -Stokes equations for compressible fluid flows.)
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Publications

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Perepelitsa M. (2015) On a kinetic formulation of the euler equations Siam Journal On Mathematical Analysis. 47: 2074-2083
Perepelitsa M. (2015) A kinetic model for approximately isentropic solutions of the Euler equations Journal of Differential Equations
Chen GQG, Perepelitsa M. (2015) Vanishing Viscosity Solutions of the Compressible Euler Equations with Spherical Symmetry and Large Initial Data Communications in Mathematical Physics. 338: 771-800
Perepelitsa M. (2014) A note on strong solutions to the variational kinetic equation for scalar conservation laws Journal of Hyperbolic Differential Equations. 11: 621-632
Perepelitsa M. (2014) Weak Solutions of the Navier-Stokes Equations for Compressible Flows in a Half-Space with No-Slip Boundary Conditions Archive For Rational Mechanics and Analysis. 212: 709-726
Perepelitsa M. (2010) An ill-posed problem for the Navier-Stokes equations for compressible flows Discrete and Continuous Dynamical Systems. 26: 609-623
Perepelitsa M. (2010) Asymptotics toward rarefaction waves and vacuum for 1-d compressible Navier-Stokes equations Siam Journal On Mathematical Analysis. 42: 1404-1412
Chen GQ, Perepelitsa M. (2010) Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow Communications On Pure and Applied Mathematics. 63: 1469-1504
Perepelitsa M. (2006) On the global existence of weak solutions for the Navier-stokes equations of compressible fluid flows Siam Journal On Mathematical Analysis. 38: 1126-1153
Frid H, Perepelitsa M. (2004) Spatially periodic solutions in relativistic isentropic gas dynamics Communications in Mathematical Physics. 250: 335-370
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