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math.AP2021
Reaction-diffusion models for morphological patterning of hESCs
Prajakta Bedekar, Ilya Timofeyev, Aryeh Warmflash +1
In this paper we consider mathematical modeling of the dynamics of self-organized patterning of spatially confined human embryonic stem cells (hESCs) treated with BMP4 (gastruloids…
math.AP2020
Small dispersion approximation of shock wave dynamics
Misha Perepelitsa
We introduce a dispersion approximation of weak, entropy solutions of multidimensional scalar conservation laws using variational kinetic representation, where equilibrium densitie…
math.AP2009★ 7 cited
Vanishing Viscosity Limit of the Navier-Stokes Equations to the Euler Equations for Compressible Fluid Flow
Gui-Qiang Chen, Mikhail Perepelitsa
We establish the vanishing viscosity limit of the Navier-Stokes equations to the isentropic Euler equations for one-dimensional compressible fluid flow. For the Navier-Stokes equat…