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hyperbolic conservation laws, travelling waves, shock waves, flow in porous media, PDEs, Gaussian processes, small ball probabilities, spectral asymptotics
Russia, Brazil

Activities

Employment (4)

USP: São Paulo, BR

2025-01 to present | Assistant Professor (Mathematics)
Employment
Source: Self-asserted source
Iuliia Petrova

Pontifical Catholic University of Rio de Janeiro: Rio de Janeiro, Rio de Janeiro, BR

2023-03-01 to 2025-01 | Assistant Professor (Professora Adjunta) (Mathematics)
Employment
Source: Self-asserted source
Iuliia Petrova

Instituto Nacional de Matemática Pura e Aplicada: Rio de Janeiro, Rio de Janeiro, BR

2021-06-01 to 2023-02-28 | Postdoc of Excellence
Employment
Source: Self-asserted source
Iuliia Petrova

Saint Petersburg State University: Saint-Petersburg, Russian Federation (RUS), RU

2017-10 to 2022-12-31 | researcher (Chebyshev Laboratory)
Employment
Source: Self-asserted source
Iuliia Petrova

Education and qualifications (2)

Saint Petersburg State University: Saint Petersburg, RU

2013-09-01 to 2018-06-30 | phd student (faculty of mathematics and mechanics)
Education
Source: Self-asserted source
Iuliia Petrova

Saint Petersburg State University: Saint Petersburg, RU

2008-09-01 to 2013-08-31 | student (faculty of mathematics and mechanics)
Education
Source: Self-asserted source
Iuliia Petrova

Works (13)

Propagating Terrace in a Two-Tubes Model of Gravitational Fingering

SIAM Journal on Mathematical Analysis
2025-02-28 | Journal article
Contributors: Yulia Petrova; Sergey Tikhomirov; Yalchin Efendiev
Source: check_circle
Crossref

Vanishing adsorption admissibility criterion for contact discontinuities in the polymer model

Journal of Hyperbolic Differential Equations
2024 | Journal article
Contributors: Yulia Petrova; Bradley J. Plohr; Dan Marchesin
Source: Self-asserted source
Iuliia Petrova
grade
Preferred source (of 2)‎

L2-small ball asymptotics for some demeaned Gaussian processes

Statistics & Probability Letters
2024-03 | Journal article
Contributors: Alexander Nazarov; Yulia Petrova
Source: check_circle
Crossref

$L_2$-small ball asymptotics for Gaussian random functions: a survey

Probability Surveys
2023 | Preprint
Contributors: Alexander Nazarov; Yulia Petrova
Source: Self-asserted source
Iuliia Petrova

Impact of dissipation ratio on vanishing viscosity solutions of the Riemann problem for chemical flooding model

Journal of Hyperbolic Differential Equations
2023 | Journal article
Contributors: F. Bakharev; A. Enin; Yu. Petrova; N. Rastegaev
Source: Self-asserted source
Iuliia Petrova

Optimal polymer slugs injection profiles

Journal of Computational and Applied Mathematics
2023-06 | Journal article
Part of ISSN: 0377-0427
Contributors: Fedor Bakharev; Aleksandr Enin; Konstantin Kalinin; Yulia Petrova; Nikita Rastegaev; Sergey Tikhomirov
Source: Self-asserted source
Iuliia Petrova

Velocity of viscous fingers in miscible displacement: Comparison with analytical models

Journal of Computational and Applied Mathematics
2022-03 | Journal article
Contributors: F. Bakharev; A. Enin; A. Groman; A. Kalyuzhnyuk; S. Matveenko; Yu. Petrova; I. Starkov; S. Tikhomirov
Source: check_circle
Crossref

Calculation of Graded Viscosity Banks Profile on the Rear End of the Polymer Slug

Day 1 Tue, October 12, 2021
2021-10-12 | Conference paper
Contributors: Sergey Tikhomirov; Fedor Bakharev; Andrey Groman; Alexander Kalyuzhnyuk; Yulia Petrova; Aleksanr Enin; Konstantin Kalinin; Nikita Rastegaev
Source: Self-asserted source
Iuliia Petrova

Numerical Investigation of Viscous Fingering Phenomenon for Raw Field Data

Transport in Porous Media
2020-03 | Journal article
Part of ISSN: 0169-3913
Part of ISSN: 1573-1634
Contributors: F. Bakharev; L. Campoli; A. Enin; S. Matveenko; Y. Petrova; S. Tikhomirov; A. Yakovlev
Source: Self-asserted source
Iuliia Petrova

Exact L2-Small Ball Asymptotics for Some Durbin Processes

Journal of Mathematical Sciences
2020-02 | Journal article
Part of ISSN: 1072-3374
Part of ISSN: 1573-8795
Contributors: Yu. P. Petrova
Source: Self-asserted source
Iuliia Petrova

On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class

Doklady Mathematics
2018-07 | Journal article
Part of ISSN: 1064-5624
Part of ISSN: 1531-8362
Source: Self-asserted source
Iuliia Petrova

Spectral asymptotics for problems with integral constraints

Mathematical Notes
2017 | Journal article
EID:

2-s2.0-85032268468

Contributors: Petrova, Y.P.
Source: Self-asserted source
Iuliia Petrova via Scopus - Elsevier

The small ball asymptotics in hilbert norm for the Kac-Kiefer-Wolfowitz processes

Theory of Probability and its Applications
2016 | Journal article
EID:

2-s2.0-84988494808

Contributors: Nazarov, A.I.; Petrova, Y.P.
Source: Self-asserted source
Iuliia Petrova via Scopus - Elsevier