Publications

Yulia Petrova, Sergey Tikhomirov, Yalchin Efendiev (2024). Propagating terrace in a two-tubes model of gravitational fingering. ArXiv 2401.05981. Accepted to SIAM Journal on Mathematical Analysis..

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Yulia Petrova, Bradley J. Plohr, Dan Marchesin (2024). Vanishing adsorption limit of Riemann problem solutions for the polymer model. Journal of Hyperbolic Differential Equations, 21(2):299–327.

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Fedor Bakharev, Aleksandr Enin, Sergey Matveenko, Dmitry Pavlov, Yulia Petrova, Nikita Rastegaev, Sergey Tikhomirov (2024). Velocity of viscous fingers in miscible displacement: Intermediate concentration. Journal of Computational and Applied Mathematics, 451:116107.

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Alexander Nazarov, Yulia Petrova (2024). $L_2$-small ball asymptotics for some demeaned Gaussian processes. Statistics and Probability Letters, 206:109990.

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Fedor Bakharev, Aleksandr Enin, Yulia Petrova, Nikita Rastegaev (2023). Impact of dissipation ratio on vanishing viscosity solutions of the Riemann problem for chemical flooding model. Journal of Hyperbolic Differential Equations, 20(2):407–432.

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Alexander Nazarov, Yulia Petrova (2023). $L_2$-small ball asymptotics for Gaussian random functions: A survey. Probability Surveys, 20:608–663.

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Fedor Bakharev, Aleksandr Enin, Konstantin Kalinin, Yulia Petrova, Nikita Rastegaev, Sergey Tikhomirov (2023). Optimal polymer slugs injection profiles. Journal of Computational and Applied Mathematics, 425:115042.

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Fedor Bakharev, Andrey Groman, Aleksandr Enin, Alexander Kalyuzhnyuk, Sergey Matveenko, Yulia Petrova, Ivan Starkov, Sergey Tikhomirov (2022). Velocity of viscous fingers in miscible displacement: Comparison with analytical models. Journal of Computational and Applied Mathematics, 402:113808.

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Yulia Petrova (2021). $L_2$-small ball asymptotics for a family of finite-dimensional perturbations of Gaussian functions. Zapiski Nauchnykh Seminarov POMI. Nikitin’s memorial volume, 501:236–258.

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Fedor Bakharev, Andrey Groman, Aleksandr Enin, Alexander Kalyuzhnyuk, Konstantin Kalinin, Yulia Petrova, Nikita Rastegaev, Sergey Tikhomirov (2021). Calculation of graded viscosity banks profile on the rear end of the polymer slug. SPE Russian Petroleum Technology Conference.

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