Vanishing viscosity limit of the Navier‐Stokes equations to the euler equations for compressible fluid flow GQG Chen, M Perepelitsa Communications on Pure and Applied Mathematics 63 (11), 1469-1504, 2010 | 119 | 2010 |
Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data GQG Chen, M Perepelitsa Communications in Mathematical Physics 338, 771-800, 2015 | 45 | 2015 |
On the global existence of weak solutions for the Navier–Stokes equations of compressible fluid flows M Perepelitsa SIAM journal on mathematical analysis 38 (4), 1126-1153, 2006 | 29 | 2006 |
Spatially periodic solutions in relativistic isentropic gas dynamics H Frid, M Perepelitsa Communications in mathematical physics 250, 335-370, 2004 | 18 | 2004 |
Shallow water equations: viscous solutions and inviscid limit GQ Chen, M Perepelitsa Zeitschrift für angewandte Mathematik und Physik 63, 1067-1084, 2012 | 15 | 2012 |
Asymptotics toward rarefaction waves and vacuum for 1-D compressible Navier–Stokes equations M Perepelitsa SIAM journal on mathematical analysis 42 (3), 1404-1412, 2010 | 14 | 2010 |
Weak solutions of the Navier–Stokes equations for compressible flows in a half-space with no-slip boundary conditions M Perepelitsa Archive for Rational Mechanics and Analysis 212, 709-726, 2014 | 7 | 2014 |
Instantaneous boundary tangency and cusp formation in two-dimensional fluid flow D Hoff, M Perepelitsa SIAM journal on mathematical analysis 41 (2), 753-780, 2009 | 7 | 2009 |
On global solutions of a boundary-value problem for the one-dimensional buckley—leverett equations M Perepetlitsa, V Shelukhin Applicable Analysis 73 (3-4), 325-343, 1999 | 7 | 1999 |
Boundary tangency for density interfaces in compressible viscous fluid flows D Hoff, M Perepelitsa Journal of Differential Equations 253 (12), 3543-3567, 2012 | 6 | 2012 |
Model problem for the motion of a compressible, viscous flow with the no-slip boundary condition M Perepelitsa Zeitschrift für angewandte Mathematik und Physik 61 (2), 267-276, 2010 | 5 | 2010 |
Mean-field model for nematic alignment of self-propelled rods M Perepelitsa, I Timofeyev, P Murphy, OA Igoshin Physical Review E 106 (3), 034613, 2022 | 4 | 2022 |
Asynchronous stochastic price pump M Perepelitsa, I Timofeyev Physica A: Statistical Mechanics and its Applications 516, 356-364, 2019 | 4 | 2019 |
Partial regularity of solutions of the 3-d incompressible Navier-Stokes equations H Frid, M Perepelitsa IMPA, 2001 | 3 | 2001 |
A kinetic model for approximately isentropic solutions of the Euler equations M Perepelitsa Journal of Differential Equations 260 (11), 8229-8241, 2016 | 2 | 2016 |
Panoramas et synthèses-parutions-50 (2016) A Novotny, R Danchin, M Perepelitsa, D Bresch Panoramas et synthèses 50, 107-135, 2016 | 2 | 2016 |
A note on strong solutions to the variational kinetic equation for scalar conservation laws M Perepelitsa Journal of Hyperbolic Differential Equations 11 (03), 621-632, 2014 | 2 | 2014 |
Self-sustained price bubbles driven by digital currency innovations and adaptive market behavior M Perepelitsa, I Timofeyev SN Business & Economics 2 (3), 30, 2022 | 1 | 2022 |
Investing in crypto: speculative bubbles and cyclic stochastic price pumps M Perepelitsa arXiv preprint arXiv:2111.11315, 2021 | 1 | 2021 |
Reaction-diffusion models for morphological patterning of hESCs P Bedekar, I Timofeyev, A Warmflash, M Perepelitsa Journal of Mathematical Biology 83, 1-26, 2021 | 1 | 2021 |