Výsledky vyhledávání - "M. V. Polovinkina"

Autor: M. V. Polovinkina, A. L. Muglanov, I. P. Polovinkin

Publikováno v: Lobachevskii Journal of Mathematics. 41:853-868

We consider the mean value theorem for the wave equation in the Euclidean space to be a starting point to produce other mean value theorems for the wave equations on a sphere and in a space. We use transformations connecting the wave equation in the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b872332cb16add6086f2334667e8f580
https://doi.org/10.1134/s1995080220050091

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Recovery of the Operator $$\boldsymbol{\Delta}_{\boldsymbol{B}}$$ from Its Incomplete Fourier–Bessel Image

Autor: M. V. Polovinkina

Publikováno v: Lobachevskii Journal of Mathematics. 41:839-852

In this paper we consider optimal recovery of the B-elliptic operator with its powers of a smooth function from the Fourier–Bessel transform given on some convex subset. We construct a series of optimal recovery methods. It turns out that informati

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2d275f4d386dfa08edf1d381d7ed5950
https://doi.org/10.1134/s1995080220050108

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On the stability of stationary solutions in diffusion models of oncological processes

Autor: I. P. Polovinkin, Amar Debbouche, M. V. Polovinkina, Sergio Adriani David, C. A. Valentim

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We prove a sufficient condition for the stability of a stationary solution to a system of nonlinear partial differential equations of the diffusion model describing the growth of malignant tumors. We also numerically simulate stable and unstable scen

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Mean Value Theorems and Properties of Solutions of Linear Differential Equations

Autor: I. P. Polovinkin, M. V. Polovinkina

Publikováno v: Trends in Mathematics ISBN: 9783030359133

This paper describes an accompanying distributions technique that allows to obtain mean value formulas for linear homogeneous partial differential equations. One of these formulas can be interpreted as a generalization of the Asgeirsson principle for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::60b3acff8a1a2807817a27c022760276
https://doi.org/10.1007/978-3-030-35914-0_26

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About peculiarities of application of the method of fast expansions in the solution of the Navier-Stokes equations

Autor: A. D. Chernyshov, S. F. Kuznetsov, M. V. Polovinkina, E. A. Soboleva, O. Yu. Nikiforova

Publikováno v: Vestnik Voronežskogo Gosudarstvennogo Universiteta Inženernyh Tehnologij, Vol 79, Iss 1, Pp 81-89 (2017)

The brief presentation of the method of fast expansions is given to solve nonlinear differential equations. Application rules of the operator of fast expansions are specified for solving differential equations. According to the method of fast expansi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78abefdefa85f1ff3f0acf0cb67f9359
https://www.vestnik-vsuet.ru/vguit/article/view/1211

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On some concepts of nonlinear dynamics suitable for use in linguistics

Autor: M. V. Polovinkina, M. V. Lometc, I. P. Polovinkin, A. A. Kretov

Publikováno v: Journal of Physics: Conference Series. 1902:012075

In this paper, we describe hypothetical possibilities for applying nonlinear dynamics methods to linguistic research. We suggest to refer to a large text corpus (meta-book of the writer, national language, language of the branch of knowledge) as a fr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b76707bacc35608546944bc876146526
https://doi.org/10.1088/1742-6596/1902/1/012075

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On the effect of transition from a model with concentrated parameters to a model with distributed parameters

Autor: M. V. Polovinkina

Publikováno v: Journal of Physics: Conference Series. 1902:012041

We note from a general point of view that adding diffusion terms to ordinary differential equations, for example, to logistic ones, can in some cases improve sufficient conditions for the stability of a stationary solution. We give examples of models

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::229aa501ae42d77236d9fe5dbb65f170
https://doi.org/10.1088/1742-6596/1902/1/012041

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