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Propagating terrace in a two-tubes model of gravitational fingering
We study a semi-discrete model for the two-dimensional incompressible porous medium (IPM) equation describing gravitational fingering …
Yulia Petrova, Sergey Tikhomirov, Yalchin Efendiev
PDF Project Project DOI arXiv
Vanishing adsorption limit of Riemann problem solutions for the polymer model
We introduce the vanishing adsorption criterion for contact discontinuities and apply it to the Glimm-Isaacson model of chemical …
Yulia Petrova, Bradley J. Plohr, Dan Marchesin
PDF Project Project DOI arXiv
$L_2$-small ball asymptotics for some demeaned Gaussian processes
We discuss the centering operation for the Green Gaussian processes and calculate $L_2$-small ball asymptotics for some centered …
Alexander Nazarov, Yulia Petrova
PDF Project DOI arXiv
Impact of dissipation ratio on vanishing viscosity solutions of the Riemann problem for chemical flooding model
The solutions for a Riemann problem arising in chemical flooding models are studied using vanishing viscosity as an admissibility …
Fedor Bakharev, Aleksandr Enin, Yulia Petrova, Nikita Rastegaev
PDF Project Project DOI arXiv
$L_2$-small ball asymptotics for Gaussian random functions: A survey
This article is a survey of the results on asymptotic behavior of small ball probabilities in $L_2$-norm. Recent progress in this field …
Alexander Nazarov, Yulia Petrova
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Optimal polymer slugs injection profiles
The graded viscosity banks technology (tapering) for polymer flooding is studied for several different models of mixing zones behavior. …
Fedor Bakharev, Aleksandr Enin, Konstantin Kalinin, Yulia Petrova, Nikita Rastegaev, Sergey Tikhomirov
PDF Project Project DOI arXiv
The small ball asymptotics in Hilbert norm for the Kac-Kiefer-Wolfowitz processes
We consider the problem of a small ball behavior in $L_2$-norm for some Gaussian processes of statistical interest. The problem is …
Alexander Nazarov, Yulia Petrova
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