Embedded Files
MP (2022) Dispersive Approximation of Shock Waves. Journal of Applied Mathematics and Physics (ZAMP).
MP and I Timofeyev (2022) Self-Sustained Price Bubbles Driven by Digital Currency Innovations and Adaptive Behavior. Springer Nature: Economics & Finance.
P Bedekar, A Warmflash, I Timofeyev and MP (2021) Reaction-Diffusion Models for Morphological Patterning of hESCs. Journal of Mathematical Biology.
MP (2021) A Model of Cultural Evolution in the Context of Strategic Conflict. AIMS Journal of Kinetic and Related Problems.
MP (2020) Classical Solutions of Hyperbolic Systems of PDEs with Kinetic Structure. SIAM Journal of Mathematical Analysis.
MP (2020) A Model of Discrete Choice Based on Reinforcement Learning under Short-term Memory. Journal of Mathematical Psychology.
MP (2019) Adaptive Learning in Large Populations. Journal of Mathematical Biology.
MP and I Timofeyev (2019) Asynchronous Stochastic Price Pump, Physica A: Statistical Mechanics and Applications.
[Book chapter] Handbook of Mathematical Analysis in Mechanics of Viscous Flows Springer, 2018.
Topics on Compressible Navier-Stokes Equations Société mathématique de France, 2016.
MP (2016) An Integral Representation of Functions in Gas-Kinetic Models. Journal of Applied Mathematics and Physics (ZAMP).
MP (2016) A Kinetic Model for Approximately Isentropic Solutions of the Euler Equations, Journal of Differential Equations.
MP (2015) On a Kinetic Formulation for the Euler Equations, SIAM Journal of Mathematical Analysis.
GQ Chen and MP (2015) Vanishing Viscosity Solutions of the Compressible Euler Equations with Spherical Symmetry and Large Data, Communications in Mathematical Physics.
MP (2014) A Note on Strong Solutions to the Variational Kinetic Equation for Scalar Conservation Laws, Journal Hyperbolic Differential Equations.
MP (2014) Weak Solutions of the Navier-Stokes Equations for Compressible Flows in a Half-space with No-slip Boundary Conditions, Archive Rational Mechanics and Analysis.
GQ Chen and MP (2012) Shallow Water Equations: Viscous Solutions and Inviscid Limit. Journal Applied Mathematics and Physics (ZAMP).
D Hoff and MP (2012) Boundary Tangency for Density Interfaces in Compressible Viscous Fluid Flows. Journal Differential Equations.
GQ Chen and MP (2010) Vanishing Viscosity Limit of the Navier-Stokes Equations to the Euler Equations for Compressible Fluid Flow, Communications in Pure and Applied Mathematics.
MP (2010) Asymptotics Toward Rarefaction Waves and Vacuum for 1-d Compressible Navier–Stokes Equations, SIAM Journal of Mathematical Analysis.
MP (2010) Model Problem for the Motion of a Compressible, Viscous Flow with the No-slip Boundary Condition, Journal Applied Mathematics and Physics (ZAMP).
MP (2010) An Ill-posed Problem for the Navier-Stokes Equations for Compressible Flows, Discrete Continuous Dynamical Systems.
D Hoff and MP (2009) Instantaneous Boundary Tangency and Cusp Formation in Two-dimensional Fluid Flow, SIAM Journal of Mathematical Analysis.
MP (2006) On the Global Existence of Weak Solutions for the Navier–Stokes Equations of Compressible Fluid Flows, SIAM Journal of Mathematical Analysis.
H Frid and MP (2004) Spatially Periodic Solutions in Relativistic Isentropic Gas Dynamics, Communications in Mathematical Physics.
MP and V. Shelukhin (1998) On Global Solutions of a Boundary-Value Problem for the One-dimensional Buckley-Leverett Equations, Applicable Analysis.
P Murphy, I Timofeyev, O Igoshin and MP (2022) A Mean-Field Model for Nematic Alignment of Self-Propelled Rods, in review, Physical Review E.
MP (2021) General-Purpose Cooperativeness and Altruism in Humans: Elements of the Mathematical Framework for the Interdependence Hypothesis, in review, Biological Theory.
MP (2021) Psychological Dimension of Adaptive Trading in Cryptocurrency Markets, in review, Journal of Empirical Finance.
MP (2021) Investing in a Cryptocurrency Price Bubble: Speculative Ponzi Schemes and Cyclic Stochastic Price Pumps, in review, Journal of Behavioral Finance
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