Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term

We establish estimates for the initial evolution of the supports of solutions of a broad class of quasilinear parabolic equations of arbitrary order that have the structure of the equation of strong nonlinear convective diffusion.

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Date:2001
Main Authors: Sapronov, D. A., Shishkov, A. E., Сапронов, Д. А., Шишков, А. Е.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4316
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Sapronov, D. A.
Shishkov, A. E.
Сапронов, Д. А.
Шишков, А. Е.
Сапронов, Д. А.
Шишков, А. Е.
author_facet Sapronov, D. A.
Shishkov, A. E.
Сапронов, Д. А.
Шишков, А. Е.
Сапронов, Д. А.
Шишков, А. Е.
author_sort Sapronov, D. A.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-18T20:26:34Z
description We establish estimates for the initial evolution of the supports of solutions of a broad class of quasilinear parabolic equations of arbitrary order that have the structure of the equation of strong nonlinear convective diffusion.
first_indexed 2026-03-24T02:57:09Z
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spelling umjimathkievua-article-43162020-03-18T20:26:34Z Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term Распространение возмущений в квазилинейных многомерных параболических уравнениях с конвективным членом Sapronov, D. A. Shishkov, A. E. Сапронов, Д. А. Шишков, А. Е. Сапронов, Д. А. Шишков, А. Е. We establish estimates for the initial evolution of the supports of solutions of a broad class of quasilinear parabolic equations of arbitrary order that have the structure of the equation of strong nonlinear convective diffusion. Встановлено оцінки стартової еволюції носіїв енергетичних узагальнених розв'язків широкого класу квазілінійних параболічних рівнянь довільного порядку структури рівняння сильної нелінійної дифузії-конвекції. Institute of Mathematics, NAS of Ukraine 2001-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4316 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 7 (2001); 953-969 Український математичний журнал; Том 53 № 7 (2001); 953-969 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4316/5336 https://umj.imath.kiev.ua/index.php/umj/article/view/4316/5337 Copyright (c) 2001 Sapronov D. A.; Shishkov A. E.
spellingShingle Sapronov, D. A.
Shishkov, A. E.
Сапронов, Д. А.
Шишков, А. Е.
Сапронов, Д. А.
Шишков, А. Е.
Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term
title Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term
title_alt Распространение возмущений в квазилинейных многомерных параболических уравнениях с конвективным членом
title_full Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term
title_fullStr Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term
title_full_unstemmed Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term
title_short Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term
title_sort propagation of perturbations in quasilinear multidimensional parabolic equations with convective term
url https://umj.imath.kiev.ua/index.php/umj/article/view/4316
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